메뉴 건너뛰기




Volumn , Issue , 2008, Pages 1-391

The Rise and Development of the Theory of Series up to the Early 1820s

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85145709922     PISSN: 21968810     EISSN: 21968829     Source Type: Book Series    
DOI: None     Document Type: Chapter
Times cited : (9)

References (311)
  • 1
    • 84857368253 scopus 로고    scopus 로고
    • Demonstratio theorematis newtoniani de binomio ad potentiam indefinitam elevando
    • Aepinus, F.U.T. [1757] Demonstratio theorematis newtoniani de binomio ad potentiam indefinitam elevando, Novi Commentarii Academiae Scientiarum Petropolitanae, 8 (1757), pp. 169–180.
    • (2001) Novi Commentarii Academiae Scientiarum Petropolitanae , vol.8 , Issue.1757 , pp. 169-180
    • Aepinus, F.U.T.1
  • 2
    • 0343700959 scopus 로고
    • Le serie sommate da Pietro Mengoli, Bollettino Unione Matematica Italiana, (2) 3 (1941), pp. 231–251. d’Alembert, J.B. [1747] Recherches sur la courbe que forme une corde tenduë mise en vibration
    • Agostini, A. [1941] Le serie sommate da Pietro Mengoli, Bollettino Unione Matematica Italiana, (2) 3 (1941), pp. 231–251. d’Alembert, J.B. [1747] Recherches sur la courbe que forme une corde tenduë mise en vibration, Mémoires des l’Académie Royale de Berlin, 3 (1747), pp. 214–219.
    • (1941) Mémoires Des l’Académie Royale De Berlin , vol.3 , Issue.1747 , pp. 214-219
    • Agostini, A.1
  • 3
    • 85049320746 scopus 로고    scopus 로고
    • — [1768] Réflexions sur les suites et sur les racines imaginaires in Opuscles mathématiques, Paris: David Briasson, Jombert, t.V, 1768, pp. 171–215.
    • — [1768] Réflexions sur les suites et sur les racines imaginaires in Opuscles mathématiques, Paris: David Briasson, Jombert, t.V, 1768, pp. 171–215.
    • (2018) Applied Energy
  • 4
    • 85145706964 scopus 로고    scopus 로고
    • Mélange de littérature, d’histoire, et de philosophie, 2nd edition, Amsterdam: Z. Chatelain et fils
    • — [1773] Mélange de littérature, d’histoire, et de philosophie, 2nd edition, Amsterdam: Z. Chatelain et fils, 5 vols.
    • (2001) 5 Vols
  • 5
    • 79956303324 scopus 로고
    • Recherches sur quelques point de la théorie des fonctions dérivés qui conduisent à une nouvelle démonstration de la série de Taylor et à l’expression finie des termes qu’on néglige lorsqu’on arrête cette série à travers un terme quelconque
    • Ampère, A.M. [1806] Recherches sur quelques point de la théorie des fonctions dérivés qui conduisent à une nouvelle démonstration de la série de Taylor et à l’expression finie des termes qu’on néglige lorsqu’on arrête cette série à travers un terme quelconque, Journal de l’École Polytechnique, 6 (1806), pp. 148–181.
    • (1806) Journal De l’École Polytechnique , vol.6 , Issue.1806 , pp. 148-181
    • Ampère, A.M.1
  • 6
    • 85145675798 scopus 로고    scopus 로고
    • Mémoire sur la nature des fonctions arbi-traires qui entrent dans les intégrales des équations aux dérivées partielles, St
    • Arbogast, L.-F.-A. [1791] Mémoire sur la nature des fonctions arbi-traires qui entrent dans les intégrales des équations aux dérivées partielles, St. Petersburg: de l’imprimerie a l’Academie Imperiale des Sciences, 1791.
    • (2001) Petersburg: De l’imprimerie a l’Academie Imperiale Des Sciences , pp. 1791
    • Arbogast, L.-F.-A.1
  • 7
    • 0004186620 scopus 로고
    • Strasbourg: Levrault
    • — [1800] Du calcul des dérivations, Strasbourg: Levrault, 1800.
    • (1800) Du Calcul Des dérivations , pp. 1800
  • 8
    • 85049320746 scopus 로고    scopus 로고
    • Archimedes [QA] Quadrature of parabola, in The Works of Archimedes, translated by T. L. Heath, Cambridge: University Press, 1897, pp. 233–252.
    • Archimedes [QA] Quadrature of parabola, in The Works of Archimedes, translated by T. L. Heath, Cambridge: University Press, 1897, pp. 233–252.
    • (2018) Applied Energy
  • 9
    • 85049320746 scopus 로고    scopus 로고
    • Aristotle, Aristotle’s Categories and De Interpretatione, translated by
    • Aristotle, Aristotle’s Categories and De Interpretatione, translated by
    • (2018) Applied Energy
  • 10
    • 85145730876 scopus 로고
    • Oxford: Clarendon Press
    • L. Ackrill, Oxford: Clarendon Press, 1963.
    • (1963) Ackrill
  • 11
    • 0004241322 scopus 로고
    • Richard McKeon (ed.), New York: Random House
    • — Metaphysics, translated by W. D. Ross, in The Basic Works of Aristotle, Richard McKeon (ed.), New York: Random House, 1941.
    • (1941) The Basic Works of Aristotle
  • 12
    • 85049320746 scopus 로고    scopus 로고
    • — Aristotle’s Physics, translated by Joe Sachs. Rutgers, NY: University Press, 1994.
    • — Aristotle’s Physics, translated by Joe Sachs. Rutgers, NY: University Press, 1994.
    • (2018) Applied Energy
  • 14
    • 0013125619 scopus 로고    scopus 로고
    • A letter from the late Reverend Mr. Thomas Bayes, F.R.S. to John Canton, M.A. and F.R.S
    • Bayes, T. [1763] A letter from the late Reverend Mr. Thomas Bayes, F.R.S. to John Canton, M.A. and F.R.S, Philosophical Transactions, 53 (1763), pp. 269–271.
    • (2001) Philosophical Transactions , vol.53 , Issue.1763 , pp. 269-271
    • Bayes, T.1
  • 15
    • 85049320746 scopus 로고    scopus 로고
    • Bernoulli, Daniel [1728] Observationes de seriebus quae formantur ex additione vel subtractione quacunque terminorum se mutuo consequentium, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1728), published in 1732, pp. 85–100.
    • Bernoulli, Daniel [1728] Observationes de seriebus quae formantur ex additione vel subtractione quacunque terminorum se mutuo consequentium, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1728), published in 1732, pp. 85–100.
    • (2018) Applied Energy
  • 16
    • 85049320746 scopus 로고    scopus 로고
    • — [1732–33] Theoremata de oscillationibus corporum filo flexili connexorum et catenae verticaliter suspensae, Commentarii Academiae Scientiarum Petropolitanae, 6 (1732–1733), published in 1738, pp. 108–122.
    • — [1732–33] Theoremata de oscillationibus corporum filo flexili connexorum et catenae verticaliter suspensae, Commentarii Academiae Scientiarum Petropolitanae, 6 (1732–1733), published in 1738, pp. 108–122.
    • (2018) Applied Energy
  • 17
    • 85049320746 scopus 로고    scopus 로고
    • — [1734–35] Demonstrationes Theorematum suorum de Oscillationibus corporum filo flexili connexorum et catenae verticaliter suspensae, Commentarii Academiae Scientiarum Petropolitanae, 7 (1734–1735), published in 1740, pp. 162–173.
    • — [1734–35] Demonstrationes Theorematum suorum de Oscillationibus corporum filo flexili connexorum et catenae verticaliter suspensae, Commentarii Academiae Scientiarum Petropolitanae, 7 (1734–1735), published in 1740, pp. 162–173.
    • (2018) Applied Energy
  • 18
    • 0011047902 scopus 로고    scopus 로고
    • Réflexions et éclaircissemens sur les nouvelles vibrations des cordes exposées dans les mémoires de l’Académie de 1747 et 1748
    • — [1753] Réflexions et éclaircissemens sur les nouvelles vibrations des cordes exposées dans les mémoires de l’Académie de 1747 et 1748, Mémoires des l’Académie Royale de Berlin, 9 (1753), pp. 147–172.
    • (2001) Mémoires Des l’Académie Royale De Berlin , vol.9 , Issue.1753 , pp. 147-172
  • 19
    • 85049320746 scopus 로고    scopus 로고
    • — [1771] De summationibus serierum quarunduam incongrue veris earumque interpretatione atque usu, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, 16 (1771), published in 1772, pp. 71–90 (Summarium 12–14).
    • — [1771] De summationibus serierum quarunduam incongrue veris earumque interpretatione atque usu, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, 16 (1771), published in 1772, pp. 71–90 (Summarium 12–14).
    • (2018) Applied Energy
  • 20
    • 85049320746 scopus 로고    scopus 로고
    • Bernoulli, Jacob [1689–1704] Positiones arithmeticae de seriebus infinitis, earumque summa finita, J. Conradi a Mechel, Basileæ, 1689–1704. In Jacobi Bernoulli basileensis Opera, Genevae: Cramer et fratum Philib-ert, 1744, 2 vols., vol. 1: pp. 375–402 and 517–542, vol. 2: pp. 745–767, 849–867 and 955–975.
    • Bernoulli, Jacob [1689–1704] Positiones arithmeticae de seriebus infinitis, earumque summa finita, J. Conradi a Mechel, Basileæ, 1689–1704. In Jacobi Bernoulli basileensis Opera, Genevae: Cramer et fratum Philib-ert, 1744, 2 vols., vol. 1: pp. 375–402 and 517–542, vol. 2: pp. 745–767, 849–867 and 955–975.
    • (2018) Applied Energy
  • 22
    • 85057324438 scopus 로고
    • Additamentum effectionis omnium Quadrat-urarum et Rectificationum Curvarum per seriem quandam generalissimam
    • Bernoulli, Johann [1694] Additamentum effectionis omnium Quadrat-urarum et Rectificationum Curvarum per seriem quandam generalissimam, Acta Eruditorum, 1694, pp. 437–441.
    • (1694) Acta Eruditorum , vol.1694 , pp. 437-441
    • Bernoulli, J.1
  • 23
    • 85145692272 scopus 로고    scopus 로고
    • Remarques sur ce qu’on a donné jusqu’ici de solutions de problêmes sur les isoperimétres
    • — [1718] Remarques sur ce qu’on a donné jusqu’ici de solutions de problêmes sur les isoperimétres, in Opera omnia, Lausannae et Genevae: Marci-Michaelis Bousquet et Sociorum, 1742, vol. 2, pp. 235–269.
    • (2001) Opera Omnia, Lausannae Et Genevae: Marci-Michaelis Bousquet Et Sociorum, 1742 , vol.2 , pp. 235-269
  • 24
    • 85049320746 scopus 로고    scopus 로고
    • Bernoulli, Nikolaus II [1738] Inquisitio in summa seriei 1+
    • + 1 25 +etc., Commentarii Academiae Scientiarum Imperialis Petropolitanae, 10 (1738), published in 1747, pp. 19–21.
    • (2018) Applied Energy
  • 27
    • 0005289866 scopus 로고
    • Differentials, higher order differentials and the derivative in the Leibnizian Calculus
    • Bos, H. [1974]. Differentials, higher order differentials and the derivative in the Leibnizian Calculus, Archive for History of Exact Sciences, 14, pp. 1–90.
    • (1974) Archive for History of Exact Sciences , vol.14 , pp. 1-90
    • Bos, H.1
  • 28
    • 14144252918 scopus 로고
    • Providence, RI: American Mathematical Society
    • — [1993] Lectures in the history of mathematics, Providence, RI: American Mathematical Society, 1993.
    • (1993) Lectures in the History of Mathematics , pp. 1993
  • 30
    • 85049320746 scopus 로고    scopus 로고
    • Bossut, C and Lagrange, J.L. [1801–02] Rapport sur un mémoire présenté à la classe par le citoyen Callet, Mémoires de l’Institut national des sciences et arts. Sciences Mathématiques et Physiques, 3 (An IX (1801–02)): pp. 1–11.
    • Bossut, C and Lagrange, J.L. [1801–02] Rapport sur un mémoire présenté à la classe par le citoyen Callet, Mémoires de l’Institut national des sciences et arts. Sciences Mathématiques et Physiques, 3 (An IX (1801–02)): pp. 1–11.
    • (2018) Applied Energy
  • 31
    • 85049320746 scopus 로고    scopus 로고
    • Breger, H. [1992a] A restoration that failed: Paul Finsler’s theory of sets. In Gillies [1992, 249–264].
    • Breger, H. [1992a] A restoration that failed: Paul Finsler’s theory of sets. In Gillies [1992, 249–264].
    • (2018) Applied Energy
  • 34
    • 85145671466 scopus 로고
    • Sur l’intégration des équations différentielles partielles, JEP [Journal de l’École Polytechnique
    • Brisson, B. [1808] Sur l’intégration des équations différentielles partielles, JEP [Journal de l’École Polytechnique, Paris.] 7, 191–261.
    • (1808) Paris.] , vol.7 , pp. 191-261
    • Brisson, B.1
  • 35
    • 85145674054 scopus 로고    scopus 로고
    • Epistola ad Virum Clarissimum Brook Taylor
    • Burchard, J. [1721] Epistola ad Virum Clarissimum Brook Taylor, Acta Eruditorum, (1721), pp. 195–228.
    • (2001) Acta Eruditorum, (1721) , pp. 195-228
    • Burchard, J.1
  • 36
    • 0347768074 scopus 로고    scopus 로고
    • Alphonse Antonio de Sarasa and Logarithms
    • Burn, R.P. [2001] Alphonse Antonio de Sarasa and Logarithms, Historia Mathematica, 28 (2001), pp. 1–17.
    • (2001) Historia Mathematica , vol.28 , Issue.2001 , pp. 1-17
    • Burn, R.P.1
  • 37
    • 34547815838 scopus 로고    scopus 로고
    • Aritmetica e aritmetizzazione. La via indicata da Gauss e Kronecker
    • Bussotti, P. [2000] Aritmetica e aritmetizzazione. La via indicata da Gauss e Kronecker, Epistemologia, 23 (2000), pp. 23–50.
    • (2000) Epistemologia , vol.23 , Issue.2000 , pp. 23-50
    • Bussotti, P.1
  • 38
    • 85145738134 scopus 로고
    • Artis Magnae, sive de regulis algebraicis liber unus
    • English translation by T. Richard Witmer, The great art or the rules of algebra, Cambridge: Cambridge University Press
    • Cardano, G. [1545] Artis Magnae, sive de regulis algebraicis liber unus, Norimbergae: apud Iohannem Petreium, 1545. English translation by T. Richard Witmer, The great art or the rules of algebra, Cambridge: Cambridge University Press, 1968.
    • (1545) Norimbergae: Apud Iohannem Petreium , vol.1545 , pp. 1968
    • Cardano, G.1
  • 41
    • 85049320746 scopus 로고    scopus 로고
    • — [1822] Sur le développement des fonctions en séries et sur l’intégration des équations différentielles ou aux différences partielles, Bulletin de la Société Philomatique, 1822, pp. 49–54. In [ŒCa, (2) 2: 276–282].
    • — [1822] Sur le développement des fonctions en séries et sur l’intégration des équations différentielles ou aux différences partielles, Bulletin de la Société Philomatique, 1822, pp. 49–54. In [ŒCa, (2) 2: 276–282].
    • (2018) Applied Energy
  • 42
    • 85049320746 scopus 로고    scopus 로고
    • — [1823] Résumé des leçons données à l’École royale polytechnique sur le calcul infinitésimal. Tome Premier, Paris: Debure frères, 1823. In [ŒCa, (2) 4: 9–261].
    • — [1823] Résumé des leçons données à l’École royale polytechnique sur le calcul infinitésimal. Tome Premier, Paris: Debure frères, 1823. In [ŒCa, (2) 4: 9–261].
    • (2018) Applied Energy
  • 43
    • 85049320746 scopus 로고    scopus 로고
    • — [1827] Sur la convergence des séries. In [ŒCa, (2) 7: 267–279].
    • — [1827] Sur la convergence des séries. In [ŒCa, (2) 7: 267–279].
    • (2018) Applied Energy
  • 44
    • 85049320746 scopus 로고    scopus 로고
    • — [1844] Mémoire sur les fonctions continues, Comptes rendus de l’Académie des Science, 18 (1844), pp. 116–131. In [ŒCa, (1), 8:145–160].
    • — [1844] Mémoire sur les fonctions continues, Comptes rendus de l’Académie des Science, 18 (1844), pp. 116–131. In [ŒCa, (1), 8:145–160].
    • (2018) Applied Energy
  • 45
    • 85049320746 scopus 로고    scopus 로고
    • — [ŒCa] Œuvres complètes de Augustin Cauchy, ed. by Acadèmie des Sciences, Paris: Gauthiers–Villars, 1882–1974, 27 vols.
    • — [ŒCa] Œuvres complètes de Augustin Cauchy, ed. by Acadèmie des Sciences, Paris: Gauthiers–Villars, 1882–1974, 27 vols.
    • (2018) Applied Energy
  • 47
    • 33846281859 scopus 로고    scopus 로고
    • Sur l’orbite apparente du Soleil autour de la terre, en ayant égard aux perturbations produites par les actions de la lune et des planètes principales
    • Clairaut, A.C. [1754] Sur l’orbite apparente du Soleil autour de la terre, en ayant égard aux perturbations produites par les actions de la lune et des planètes principales, Histoire de l’Academie des Science de Paris, 1754, pp. 521–564.
    • (2001) Histoire De l’Academie Des Science De Paris , vol.1754 , pp. 521-564
    • Clairaut, A.C.1
  • 50
    • 0346705605 scopus 로고
    • Un texte d’Euler sur les fonctions continues et les fonction discontinues, véritable programme d’organisation de l’analyse au XVIIIème siècle
    • Dhombres, J. [1988] Un texte d’Euler sur les fonctions continues et les fonction discontinues, véritable programme d’organisation de l’analyse au XVIIIème siècle, Cahiers du Séminaire d’Historie des Mathématiques, 9 (1988), pp. 23–97.
    • (1988) Cahiers Du Séminaire d’Historie Des Mathématiques , vol.9 , Issue.1988 , pp. 23-97
    • Dhombres, J.1
  • 51
    • 85145733223 scopus 로고
    • L’innovation comme produit captif de la tradition. Entre Apollonius et Descartes, une théorie des courbers chez Grégoire de Saint– Vincent, in Panza-Roero [1995
    • — [1995] L’innovation comme produit captif de la tradition. Entre Apollonius et Descartes, une théorie des courbers chez Grégoire de Saint– Vincent, in Panza-Roero [1995, 13–83].
    • (1995) 13–83]
  • 52
    • 85145715653 scopus 로고
    • Wallis’s product, Brouncker’s continued fraction, and Leibniz’s series, Archive for History of Exact Sciences, 26 (1982), pp
    • Dutka, J. [1982] Wallis’s product, Brouncker’s continued fraction, and Leibniz’s series, Archive for History of Exact Sciences, 26 (1982), pp. 115– 126.
    • (1982) 115– , pp. 126
    • Dutka, J.1
  • 53
    • 85049320746 scopus 로고    scopus 로고
    • — [1984–85] The early history of the hypergeometric function, Archive for History of Exact Sciences, 31 (1984–85), pp. 15–34.
    • — [1984–85] The early history of the hypergeometric function, Archive for History of Exact Sciences, 31 (1984–85), pp. 15–34.
    • (2018) Applied Energy
  • 54
    • 0042921398 scopus 로고
    • On the early history of Bessel functions
    • — [1995] On the early history of Bessel functions, Archive for History of Exact Sciences, 49 (1995), pp. 105–134.
    • (1995) Archive for History of Exact Sciences , vol.49 , Issue.1995 , pp. 105-134
  • 56
    • 85049320746 scopus 로고    scopus 로고
    • Euclid [E], The Thirteen Books of Euclid’s Elements, Translated by Thomas L. Heath, 2nd ed., Cambridge: Cambridge University Press, 1926.
    • Euclid [E], The Thirteen Books of Euclid’s Elements, Translated by Thomas L. Heath, 2nd ed., Cambridge: Cambridge University Press, 1926.
    • (2018) Applied Energy
  • 57
    • 85049320746 scopus 로고    scopus 로고
    • Euler, L. [1730–31a] De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 5 (1730–31), published in 1738, pp. 36–57. In [EOO, (1) 14:1–24].
    • Euler, L. [1730–31a] De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 5 (1730–31), published in 1738, pp. 36–57. In [EOO, (1) 14:1–24].
    • (2018) Applied Energy
  • 58
    • 85049320746 scopus 로고    scopus 로고
    • — [1730–31b] De summatione innumerabilium progressionum, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 5 (1730–1731), published in 1738, pp. 91–105. In [EOO, (1) 14:25–41].
    • — [1730–31b] De summatione innumerabilium progressionum, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 5 (1730–1731), published in 1738, pp. 91–105. In [EOO, (1) 14:25–41].
    • (2018) Applied Energy
  • 59
    • 85049320746 scopus 로고    scopus 로고
    • — [1732–33] Methodus generalis summandi progressiones, Commentarii Academiae Scientiarum Petropolitanae, 6 (1732–1733), published in 1738, pp. 68–97. In [EOO, (1) 14:42–72].
    • — [1732–33] Methodus generalis summandi progressiones, Commentarii Academiae Scientiarum Petropolitanae, 6 (1732–1733), published in 1738, pp. 68–97. In [EOO, (1) 14:42–72].
    • (2018) Applied Energy
  • 60
    • 85049320746 scopus 로고    scopus 로고
    • — [1734–35a] De summis serierum reciprocarum, Commentarii Academiae Scientiarum Petropolitanae, 7 (1734–1735), published in 1740, pp. 123–134. In [EOO, (1) 14:73–86].
    • — [1734–35a] De summis serierum reciprocarum, Commentarii Academiae Scientiarum Petropolitanae, 7 (1734–1735), published in 1740, pp. 123–134. In [EOO, (1) 14:73–86].
    • (2018) Applied Energy
  • 61
    • 85049320746 scopus 로고    scopus 로고
    • — [1734–1735b] De progressionibus harmonicis observationes, Commentarii Academiae Scientiarum Petropolitanae, 7 (1734–1735), published in 1740, pp. 150–156. In [EOO, (1) 14:87–100].
    • — [1734–1735b] De progressionibus harmonicis observationes, Commentarii Academiae Scientiarum Petropolitanae, 7 (1734–1735), published in 1740, pp. 150–156. In [EOO, (1) 14:87–100].
    • (2018) Applied Energy
  • 62
    • 85049320746 scopus 로고    scopus 로고
    • — [1736a] Methodus universalis serierum convergentium summas quam proxime inveniendi, Commentarii Academiae Scientiarum Petropolitanae, 8 (1736), published in 1741, pp. 3–9. In [EOO, (1) 14:101–107].
    • — [1736a] Methodus universalis serierum convergentium summas quam proxime inveniendi, Commentarii Academiae Scientiarum Petropolitanae, 8 (1736), published in 1741, pp. 3–9. In [EOO, (1) 14:101–107].
    • (2018) Applied Energy
  • 63
    • 85049320746 scopus 로고    scopus 로고
    • — [1736b] Inventio summae cuiusque seriei ex dato termino generali, Commentarii Academiae Scientiarum Petropolitanae, 8 (1736), published in 1741, pp. 9–22. In [EOO, (1) 14:108–123].
    • — [1736b] Inventio summae cuiusque seriei ex dato termino generali, Commentarii Academiae Scientiarum Petropolitanae, 8 (1736), published in 1741, pp. 9–22. In [EOO, (1) 14:108–123].
    • (2018) Applied Energy
  • 64
    • 85049320746 scopus 로고    scopus 로고
    • — [1736c] Methodus universalis series summandi ulterius promota, Commentarii Academiae Scientiarum Petropolitanae, 8 (1736), published in 1741, pp. 147–158. In [EOO, (1) 14:124–137].
    • — [1736c] Methodus universalis series summandi ulterius promota, Commentarii Academiae Scientiarum Petropolitanae, 8 (1736), published in 1741, pp. 147–158. In [EOO, (1) 14:124–137].
    • (2018) Applied Energy
  • 65
    • 85049320746 scopus 로고    scopus 로고
    • — [1737a] De fractionibus continuis dissertatio, Commentarii Academiae Scientiarum Petropolitanae, 9 (1737), published in 1744, pp. 98–137. In [EOO, (1), 14:187–215].
    • — [1737a] De fractionibus continuis dissertatio, Commentarii Academiae Scientiarum Petropolitanae, 9 (1737), published in 1744, pp. 98–137. In [EOO, (1), 14:187–215].
    • (2018) Applied Energy
  • 66
    • 85049320746 scopus 로고    scopus 로고
    • — [1737b] Variae observationes circa series infinitas, Commentarii Academiae Scientiarum Petropolitanae, 9 (1737), published in 1744, pp. 160–188. In [EOO, (1) 14:216–244].
    • — [1737b] Variae observationes circa series infinitas, Commentarii Academiae Scientiarum Petropolitanae, 9 (1737), published in 1744, pp. 160–188. In [EOO, (1) 14:216–244].
    • (2018) Applied Energy
  • 67
    • 85049320746 scopus 로고    scopus 로고
    • — [1737c] De variis modis circuli quadraturam numeris proxime ex-primendi, Commentarii Academiae Scientiarum Petropolitanae, 9 (1737), published in 1744, pp. 222–236. In [EOO, (1) 14:245–259].
    • — [1737c] De variis modis circuli quadraturam numeris proxime ex-primendi, Commentarii Academiae Scientiarum Petropolitanae, 9 (1737), published in 1744, pp. 222–236. In [EOO, (1) 14:245–259].
    • (2018) Applied Energy
  • 68
    • 85049320746 scopus 로고    scopus 로고
    • — [1739a] De productis ex infinitis factoribus ortis, Commentarii Academiae Scientiarum Petropolitanae, 11 (1739), published in 1750, pp. 3–31. In [EOO, (1) 14:260 – 290].
    • — [1739a] De productis ex infinitis factoribus ortis, Commentarii Academiae Scientiarum Petropolitanae, 11 (1739), published in 1750, pp. 3–31. In [EOO, (1) 14:260 – 290].
    • (2018) Applied Energy
  • 69
    • 85049320746 scopus 로고    scopus 로고
    • — [1739b] De fractionibus continuis observationes, Commentarii Academiae Scientiarum Petropolitanae, 11 (1739), published in 1750, pp. 32–81. In [EOO, (1) 14:291–349].
    • — [1739b] De fractionibus continuis observationes, Commentarii Academiae Scientiarum Petropolitanae, 11 (1739), published in 1750, pp. 32–81. In [EOO, (1) 14:291–349].
    • (2018) Applied Energy
  • 70
    • 85049320746 scopus 로고    scopus 로고
    • — [1739c] Consideratio progressionis cuiusdam ad circuli quadraturam inveniendam idoneae, Commentarii Academiae Scientiarum Petropolitanae, 11 (1739), published in 1750, pp. 116–127. In [EOO, (1) 14:350–365].
    • — [1739c] Consideratio progressionis cuiusdam ad circuli quadraturam inveniendam idoneae, Commentarii Academiae Scientiarum Petropolitanae, 11 (1739), published in 1750, pp. 116–127. In [EOO, (1) 14:350–365].
    • (2018) Applied Energy
  • 71
    • 85049320746 scopus 로고    scopus 로고
    • — [1740] De seriebus quibusdam considerationes, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 12 (1740), published in 1750, pp. 53–96. In [EOO, (1) 14:407–462].
    • — [1740] De seriebus quibusdam considerationes, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 12 (1740), published in 1750, pp. 53–96. In [EOO, (1) 14:407–462].
    • (2018) Applied Energy
  • 72
    • 85049320746 scopus 로고    scopus 로고
    • — [1743a] De summis serierum reciprocarum ex potestatibus numerorum naturalium ortarum dissertatio altera in qua eaedem summationes ex fonte maxime diverso derivantur, Miscellanea Berolinensia, 7 (1743), published in 1743, pp. 172–192. In [EOO, (1) 14:138–159].
    • — [1743a] De summis serierum reciprocarum ex potestatibus numerorum naturalium ortarum dissertatio altera in qua eaedem summationes ex fonte maxime diverso derivantur, Miscellanea Berolinensia, 7 (1743), published in 1743, pp. 172–192. In [EOO, (1) 14:138–159].
    • (2018) Applied Energy
  • 73
    • 85049320746 scopus 로고    scopus 로고
    • — [1743b] Démonstration de la somme de cette suite 1 +
    • + +..., Journ. lit. d’Allemange, de Suisse et du Nord, 2:1 (1743), published in 1743, pp. 145–127. In [EOO, (1) 14:176–186].
    • (2018) Applied Energy
  • 74
    • 85049320746 scopus 로고    scopus 로고
    • — [1748a] Introductio in analysin infinitorum, Lausannae: M. M. Bousquet et Soc., 1748. In [EOO, (1), vols. 8–9].
    • — [1748a] Introductio in analysin infinitorum, Lausannae: M. M. Bousquet et Soc., 1748. In [EOO, (1), vols. 8–9].
    • (2018) Applied Energy
  • 75
    • 85049320746 scopus 로고    scopus 로고
    • — [1748b] Recherches sur la question des inégalités du mouvement de Saturne de Jupiter, Piece qui a remporte le prix de l’academie royale des sciences (1748), published in 1751, pp. 1–123. In [EOO, (2), 25: 45–157].
    • — [1748b] Recherches sur la question des inégalités du mouvement de Saturne de Jupiter, Piece qui a remporte le prix de l’academie royale des sciences (1748), published in 1751, pp. 1–123. In [EOO, (2), 25: 45–157].
    • (2018) Applied Energy
  • 76
    • 85049320746 scopus 로고    scopus 로고
    • — [1749a] De vibratione chordarum exercitatio, Nova Acta Eruditorum (1749), published in 1749, pp. 512–527. In Euler [EOO, (2), 10:50–62].
    • — [1749a] De vibratione chordarum exercitatio, Nova Acta Eruditorum (1749), published in 1749, pp. 512–527. In Euler [EOO, (2), 10:50–62].
    • (2018) Applied Energy
  • 77
    • 85049320746 scopus 로고    scopus 로고
    • — [1749b] De la controverse entre Mrs. Leibnitz et Bernoulli sur les logarithmes des nombres negatifs et imaginaires, Mémoires des l’Académie des Sciences de Berlin, 5 (1749), published in 1749, pp. 139–179. In [EOO, (1), 17:195–232].
    • — [1749b] De la controverse entre Mrs. Leibnitz et Bernoulli sur les logarithmes des nombres negatifs et imaginaires, Mémoires des l’Académie des Sciences de Berlin, 5 (1749), published in 1749, pp. 139–179. In [EOO, (1), 17:195–232].
    • (2018) Applied Energy
  • 78
    • 85049320746 scopus 로고    scopus 로고
    • — [1750–51a] Methodus aequationes differentiales altiorum graduum integrandi ulterius promota, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1750–51), published in 1753, pp. 3–35. In [EOO, (1) 22:181–213].
    • — [1750–51a] Methodus aequationes differentiales altiorum graduum integrandi ulterius promota, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1750–51), published in 1753, pp. 3–35. In [EOO, (1) 22:181–213].
    • (2018) Applied Energy
  • 79
    • 85049320746 scopus 로고    scopus 로고
    • — [1750–51b] De serierum determinatione seu nova methodus inveniendi terminos generales serierum, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1750–51), published in 1753, pp. 8–10 and 36–85. In [EOO, (1), 14:463–515].
    • — [1750–51b] De serierum determinatione seu nova methodus inveniendi terminos generales serierum, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1750–51), published in 1753, pp. 8–10 and 36–85. In [EOO, (1), 14:463–515].
    • (2018) Applied Energy
  • 80
    • 85049320746 scopus 로고    scopus 로고
    • — [1750–51c] Consideratio quarundam serierum quae singularibus pro-prietatibus sunt praeditae, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1750–1751), published in 1753, pp. 10–12 and 86–108. In [EOO, (1) 14:516–541].
    • — [1750–51c] Consideratio quarundam serierum quae singularibus pro-prietatibus sunt praeditae, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1750–1751), published in 1753, pp. 10–12 and 86–108. In [EOO, (1) 14:516–541].
    • (2018) Applied Energy
  • 81
    • 85049320746 scopus 로고    scopus 로고
    • — [1750–51d] De partitione numerorum, Novi Commentarii Academiae Scientiarum Petropolitanae, 3 (1750–1751), published in 1753, pp. 125–169. In [EOO, (1), 2:254–294].
    • — [1750–51d] De partitione numerorum, Novi Commentarii Academiae Scientiarum Petropolitanae, 3 (1750–1751), published in 1753, pp. 125–169. In [EOO, (1), 2:254–294].
    • (2018) Applied Energy
  • 82
    • 85049320746 scopus 로고    scopus 로고
    • — [1753] Remarques sur les mémoires précédens de M. Bernoulli, Mémoires des l’Académie Royale des Sciences de Berlin, 9 (1753), pp. 196–222. In [EOO, (2), 10:233–255].
    • — [1753] Remarques sur les mémoires précédens de M. Bernoulli, Mémoires des l’Académie Royale des Sciences de Berlin, 9 (1753), pp. 196–222. In [EOO, (2), 10:233–255].
    • (2018) Applied Energy
  • 83
    • 85049320746 scopus 로고    scopus 로고
    • — [1754–55a] Subsidium calculi sinuum, Novi Commentarii Academiae Scientiarum Petropolitanae, 5 (1760), published in 1760, pp. 164–204. In [EOO, (1) 14:542–582].
    • — [1754–55a] Subsidium calculi sinuum, Novi Commentarii Academiae Scientiarum Petropolitanae, 5 (1760), published in 1760, pp. 164–204. In [EOO, (1) 14:542–582].
    • (2018) Applied Energy
  • 84
    • 85049320746 scopus 로고    scopus 로고
    • — [1754–55b] De seriebus divergentibus, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae 5 (1754–1755), published in 1760, pp. 19–23 and 205–237. In [EOO, (1) 14: 583–617].
    • — [1754–55b] De seriebus divergentibus, Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae 5 (1754–1755), published in 1760, pp. 19–23 and 205–237. In [EOO, (1) 14: 583–617].
    • (2018) Applied Energy
  • 85
    • 85049320746 scopus 로고    scopus 로고
    • — [1755] Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum, Berolini: 1755. In [EOO, (1), 10].
    • — [1755] Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum, Berolini: 1755. In [EOO, (1), 10].
    • (2018) Applied Energy
  • 86
    • 85049320746 scopus 로고    scopus 로고
    • — [1761] Remarques sur un beau rapport entre les séries des puissances tant directes que réciproques, Mémoires de l’Académie des Sciences de Berlin, 17 (1761), published in 1766, pp. 83–106. In Euler [EOO, (1) 14:83–106]
    • — [1761] Remarques sur un beau rapport entre les séries des puissances tant directes que réciproques, Mémoires de l’Académie des Sciences de Berlin, 17 (1761), published in 1766, pp. 83–106. In Euler [EOO, (1) 14:83–106]
    • (2018) Applied Energy
  • 87
    • 85049320746 scopus 로고    scopus 로고
    • — [1764] De motu vibratorio tympanorum, Novi Commentarii Academiae Scientiarum Petropolitanae, 10 (1764), published in 1766, pp. 243– 260. In [EOO, (2) 10:344–359].
    • — [1764] De motu vibratorio tympanorum, Novi Commentarii Academiae Scientiarum Petropolitanae, 10 (1764), published in 1766, pp. 243– 260. In [EOO, (2) 10:344–359].
    • (2018) Applied Energy
  • 88
    • 85049320746 scopus 로고    scopus 로고
    • — [1765] De usu functionum discontinarum in Analysi, Novi Commentarii Academiae Scientiarum Petropolitanae, 11 (1765), published in 1767, pp. 3–27. In [EOO, (1), 23:74–91].
    • — [1765] De usu functionum discontinarum in Analysi, Novi Commentarii Academiae Scientiarum Petropolitanae, 11 (1765), published in 1767, pp. 3–27. In [EOO, (1), 23:74–91].
    • (2018) Applied Energy
  • 89
    • 85049320746 scopus 로고    scopus 로고
    • — [1768] De curva hypergeometrica hac aequatione expressa y = 1 · 2 · 3 ·... · x, Novi Commentarii Academiae Scientiarum Petropolitanae 13 (1768), published in 1769, pp. 3–66. In [EOO, (1) 28:41–98].
    • — [1768] De curva hypergeometrica hac aequatione expressa y = 1 · 2 · 3 ·... · x, Novi Commentarii Academiae Scientiarum Petropolitanae 13 (1768), published in 1769, pp. 3–66. In [EOO, (1) 28:41–98].
    • (2018) Applied Energy
  • 90
    • 85049320746 scopus 로고    scopus 로고
    • — [1768–70] Institutionum calculi integralis, Petropoli: Impensis Academiae Imperialis Scientiarum, 1768–1770. In [EOO, (1), vols. 11–13].
    • — [1768–70] Institutionum calculi integralis, Petropoli: Impensis Academiae Imperialis Scientiarum, 1768–1770. In [EOO, (1), vols. 11–13].
    • (2018) Applied Energy
  • 91
    • 85049320746 scopus 로고    scopus 로고
    • — [1770] Vollständige Anleitung zur Algebra. In [EOO, (1), vol. 1].
    • — [1770] Vollständige Anleitung zur Algebra. In [EOO, (1), vol. 1].
    • (2018) Applied Energy
  • 92
    • 85049320746 scopus 로고    scopus 로고
    • — [1773] Summatio progressionum sin ϕ
    • λ, Novi Commentarii Academiae Scientiarum Petropolitanae, 18 (1773), published in 1774, pp. 24–36. In [EOO, (1), 15:168–190].
    • (2018) Applied Energy
  • 93
    • 85049320746 scopus 로고    scopus 로고
    • — [1774–75] Demonstratio theorematis newtoniani de evolutione potestatum binomii pro casibus quibus exponentes non sunt numeri integri, Novi Commentarii Academiae Scientiarum Petropolitanae, 19 (1774–75), published in 1775, pp. 103–111. In [EOO, (1), 15:207–216].
    • — [1774–75] Demonstratio theorematis newtoniani de evolutione potestatum binomii pro casibus quibus exponentes non sunt numeri integri, Novi Commentarii Academiae Scientiarum Petropolitanae, 19 (1774–75), published in 1775, pp. 103–111. In [EOO, (1), 15:207–216].
    • (2018) Applied Energy
  • 94
    • 85049320746 scopus 로고    scopus 로고
    • — [1780] De plurimis quantitatibus transcendentibus quas nullo modo per formulas integrales exprimere licet, Acta Academiae Scientiarum Petropolitanae, 4 pt. 2 (1780), published in 1780, pp. 31–37. In [EOO, (1) 15: 522–527].
    • — [1780] De plurimis quantitatibus transcendentibus quas nullo modo per formulas integrales exprimere licet, Acta Academiae Scientiarum Petropolitanae, 4 pt. 2 (1780), published in 1780, pp. 31–37. In [EOO, (1) 15: 522–527].
    • (2018) Applied Energy
  • 95
    • 85049320746 scopus 로고    scopus 로고
    • — [1781a] De oscillationibus minimis funis libere suspensi, Acta Academiae Scientiarum Petropolitanae (1781), pt. 1, pp. 157–177. In [EOO, (2) 11:307–323].
    • — [1781a] De oscillationibus minimis funis libere suspensi, Acta Academiae Scientiarum Petropolitanae (1781), pt. 1, pp. 157–177. In [EOO, (2) 11:307–323].
    • (2018) Applied Energy
  • 96
    • 85049320746 scopus 로고    scopus 로고
    • — [1781b] De perturbatione motus chordarum ab earum pondere ori-unda, Acta Academiae Scientiarum Petropolitanae (1781), pt. 1, pp. 178– 190. In [EOO, (2) 11:324–334].
    • — [1781b] De perturbatione motus chordarum ab earum pondere ori-unda, Acta Academiae Scientiarum Petropolitanae (1781), pt. 1, pp. 178– 190. In [EOO, (2) 11:324–334].
    • (2018) Applied Energy
  • 97
    • 85049320746 scopus 로고    scopus 로고
    • — [1784] De transformatione seriei divergentis 1 − mx + m(m + n)x
    • 4 −etc. in fractionem continuam Nova Acta Academiae Scientiarum Petropolitanae, 2 (1784), pp. 36–45. In Euler [EOO, (1) 16:34–46).
    • (2018) Applied Energy
  • 98
    • 85145747682 scopus 로고    scopus 로고
    • Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus, in L. Euler, Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum, 2nd edition, Pavia: Galeati, 1787, pp. 797–819. In [EOO, (1) 16 pt
    • — [1787] Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus, in L. Euler, Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum, 2nd edition, Pavia: Galeati, 1787, pp. 797–819. In [EOO, (1) 16 pt. 1:1–33].
    • (2001) 1:1–33]
  • 99
    • 85049320746 scopus 로고    scopus 로고
    • — [1789] De termino generali serierum hypergeometricarum, Nova Acta Academiae Scientiarum Pretopolitanae, 7 (1789), pp. 42–63. In [EOO, (1) 16 pt. 1:139–162].
    • — [1789] De termino generali serierum hypergeometricarum, Nova Acta Academiae Scientiarum Pretopolitanae, 7 (1789), pp. 42–63. In [EOO, (1) 16 pt. 1:139–162].
    • (2018) Applied Energy
  • 100
    • 85049320746 scopus 로고    scopus 로고
    • — [1793] Disquisitio ulterior super seriebus secundum multipla cuius-dem anguli progendientibus, Nova Acta Academiae Scientiarum Petropolitanae, 11 (1793), published in 1798, pp. 114–132. In [EOO, (1) 16 pt. 1:333–355].
    • — [1793] Disquisitio ulterior super seriebus secundum multipla cuius-dem anguli progendientibus, Nova Acta Academiae Scientiarum Petropolitanae, 11 (1793), published in 1798, pp. 114–132. In [EOO, (1) 16 pt. 1:333–355].
    • (2018) Applied Energy
  • 101
    • 85049320746 scopus 로고    scopus 로고
    • — [1794a] Specimen transformationis singularis serierum Nova Acta Academiae Scientiarum Pretopolitanae, 12 (1794), pp.58–70. In [EOO, (1), 16 pt. 2:41–55].
    • (2018) Applied Energy
  • 102
    • 85145734932 scopus 로고
    • λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum explicantur
    • published in 1801, pp. 58-70. In [EOO, (1)
    • λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum explicantur, Nova Acta Academiae Scientarum Imperialis Petropolitanae 12 (1801), published in 1801, pp. 58-70. In [EOO, (1), 19:110–143].
    • (1801) Nova Acta Academiae Scientarum Imperialis Petropolitanae , vol.12 , Issue.19 , pp. 110-143
  • 103
    • 85049320746 scopus 로고    scopus 로고
    • — [1812] Methodus succincta summas serierum infinitarum per formulas differentiales investigandi, Mémoires de l’académie des Sciences de St.Pétersboug, 5 (1812), pp. 45–56. In [EOO, (1) 16 part 2:200–221].
    • — [1812] Methodus succincta summas serierum infinitarum per formulas differentiales investigandi, Mémoires de l’académie des Sciences de St.Pétersboug, 5 (1812), pp. 45–56. In [EOO, (1) 16 part 2:200–221].
    • (2018) Applied Energy
  • 104
    • 85049320746 scopus 로고    scopus 로고
    • — [1819] De unciis potestatum binomii earumque interpolatione; Mémoires de l’académie des Sciences de St.Pétersboug, 9 (1819–20), pp. 57–76. In [EOO, 162:241–260].
    • — [1819] De unciis potestatum binomii earumque interpolatione; Mémoires de l’académie des Sciences de St.Pétersboug, 9 (1819–20), pp. 57–76. In [EOO, 162:241–260].
    • (2018) Applied Energy
  • 105
    • 85049320746 scopus 로고    scopus 로고
    • — [EOO] Leonhardi Euleri Opera omnia. Soc. Sci. Nat. Helveticæ, Leipzig, Berlin, Basel, 1911–...
    • — [EOO] Leonhardi Euleri Opera omnia. Soc. Sci. Nat. Helveticæ, Leipzig, Berlin, Basel, 1911–...
    • (2018) Applied Energy
  • 108
    • 0038066364 scopus 로고    scopus 로고
    • Some aspects of Euler’s series theory. Inexplicable functions and the Euler–Maclaurin summation formula
    • Ferraro, G. [1998] Some aspects of Euler’s series theory. Inexplicable functions and the Euler–Maclaurin summation formula, Historia Mathematica, 25 (1998), pp. 290–317.
    • (1998) Historia Mathematica , vol.25 , Issue.1998 , pp. 290-317
    • Ferraro, G.1
  • 109
    • 85145713499 scopus 로고    scopus 로고
    • Rigore e dimostrazione in Matematica alla metà del Sette-cento
    • — [1999] Rigore e dimostrazione in Matematica alla metà del Sette-cento, Physis, (2) 36 (1999), pp. 137–163.
    • (1999) Physis, (2) , vol.36 , Issue.1999 , pp. 137-163
  • 110
    • 0038066362 scopus 로고    scopus 로고
    • Functions, functional relations and the laws of continuity in Euler
    • — [2000a] Functions, functional relations and the laws of continuity in Euler, Historia Mathematica, 27 (2000), pp. 107–132.
    • (2000) Historia Mathematica , vol.27 , Issue.2000 , pp. 107-132
  • 111
    • 0038066363 scopus 로고    scopus 로고
    • The value of an infinite sum. Some observations on the Eulerian theory of series
    • — [2000b] The value of an infinite sum. Some observations on the Eulerian theory of series, Sciences et techniques en perspective, 4 (2000), pp. 73–113.
    • (2000) Sciences Et Techniques En Perspective , vol.4 , Issue.2000 , pp. 73-113
  • 112
    • 0037728694 scopus 로고    scopus 로고
    • True and fictitious quantities in Leibniz’s theory of series
    • — [2000c] True and fictitious quantities in Leibniz’s theory of series, Studia Leibnitiana, 32 (2000), pp. 43–67.
    • (2000) Studia Leibnitiana , vol.32 , Issue.2000 , pp. 43-67
  • 113
    • 0036541580 scopus 로고    scopus 로고
    • Convergence and formal manipulation of series from the origins of calculus to about 1730
    • — [2002] Convergence and formal manipulation of series from the origins of calculus to about 1730, Annals of Science, 59 (2002), pp. 179–199.
    • (2002) Annals of Science , vol.59 , Issue.2002 , pp. 179-199
  • 114
    • 33846291890 scopus 로고    scopus 로고
    • Convergence and formal manipulation in the theory of series from 1730 to 1815
    • — [2007a] Convergence and formal manipulation in the theory of series from 1730 to 1815, Historia Mathematica, 34 (2007), pp. 62–88.
    • (2007) Historia Mathematica , vol.34 , Issue.2007 , pp. 62-88
  • 115
    • 34547740557 scopus 로고    scopus 로고
    • The foundational aspects of Gauss’s work on the hypergeometric, factorial and digamma functions
    • — [2007b] The foundational aspects of Gauss’s work on the hypergeometric, factorial and digamma functions, Archive for History of Exact Sciences, 61 (2007), pp. 457-518.
    • (2007) Archive for History of Exact Sciences , vol.61 , pp. 457-518
  • 118
    • 0037939912 scopus 로고    scopus 로고
    • Developing into series and returning from series. A note on the foundation 18th-century analysis
    • Ferraro, G. and Panza, M. [2003] Developing into series and returning from series. A note on the foundation 18th-century analysis, Historia Mathematica, 30 (2003), pp. 17–46.
    • (2003) Historia Mathematica , vol.30 , Issue.2003 , pp. 17-46
    • Ferraro, G.1    Panza, M.2
  • 119
    • 85049320746 scopus 로고    scopus 로고
    • — [A] Lagrange’s theory of analytical functions and his ideal of purity of method (1797–1813), unpublished manuscript.
    • — [A] Lagrange’s theory of analytical functions and his ideal of purity of method (1797–1813), unpublished manuscript.
    • (2018) Applied Energy
  • 120
    • 0038404750 scopus 로고
    • J.L. Lagrange’s changing approach to the foundations of the calculus of variations
    • Fraser, C. [1985] J.L. Lagrange’s changing approach to the foundations of the calculus of variations, Archive for History of Exact Sciences, 32 (1985), pp. 151–191.
    • (1985) Archive for History of Exact Sciences , vol.32 , Issue.1985 , pp. 151-191
    • Fraser, C.1
  • 121
    • 38249037601 scopus 로고
    • Joseph Louis Lagrange’s algebraic vision of the calculus
    • — [1987] Joseph Louis Lagrange’s algebraic vision of the calculus, Historia Mathematica, 14 (1987), pp. 38–53.
    • (1987) Historia Mathematica , vol.14 , Issue.1987 , pp. 38-53
  • 122
    • 34249969590 scopus 로고
    • The calculus as algebraic analysis: Some observations on mathematical analysis in the 18th century
    • — [1989] The calculus as algebraic analysis: Some observations on mathematical analysis in the 18th century, Archive for History of Exact Sciences, 39 (1989), pp. 317–335.
    • (1989) Archive for History of Exact Sciences , vol.39 , Issue.1989 , pp. 317-335
  • 123
    • 85145730875 scopus 로고    scopus 로고
    • The background to and early emergence of Euler’s analysis, in Otte and Panza [1997
    • — [1997] The background to and early emergence of Euler’s analysis, in Otte and Panza [1997, 47–78].
    • (1997) 47–78]
  • 126
    • 85145712769 scopus 로고
    • J. [1807] Sur la propagation de la chaleur dans le solides, manuscript 1807, published by Grattan-Guiness and Ravetz
    • Fourier, J. [1807] Sur la propagation de la chaleur dans le solides, manuscript 1807, published by Grattan-Guiness and Ravetz, in Grattan-Guiness and Ravetz [1972].
    • (1972) Grattan-Guiness and Ravetz
  • 127
    • 0004278789 scopus 로고
    • Paris: F. Didot, père et fils
    • — [1822] Thèorie Analytique de la Chaleur, Paris: F. Didot, père et fils, 1822.
    • (1822) Thèorie Analytique De La Chaleur , pp. 1822
  • 128
    • 85049320746 scopus 로고    scopus 로고
    • — [Œuvres] Œuvres de Fourier, edited by G. Darboux, Paris: Gauthier-Villars et fils, 1888–1890.
    • — [Œuvres] Œuvres de Fourier, edited by G. Darboux, Paris: Gauthier-Villars et fils, 1888–1890.
    • (2018) Applied Energy
  • 129
    • 85049320746 scopus 로고    scopus 로고
    • Français, J.–F. [1812–13] Mémoire rendant à démontrer la légitimité de la sèparation des échelles de différentiation et d’integration des fonctions qu’elles affectent, Annales de Mathématiques Pures et Appliquées, 3 (1812– 13), pp. 244–273.
    • Français, J.–F. [1812–13] Mémoire rendant à démontrer la légitimité de la sèparation des échelles de différentiation et d’integration des fonctions qu’elles affectent, Annales de Mathématiques Pures et Appliquées, 3 (1812– 13), pp. 244–273.
    • (2018) Applied Energy
  • 131
    • 85145739727 scopus 로고    scopus 로고
    • Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse, in [WW
    • Gauss, C.F. [1799] Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse, in [WW, 3:1–39].
    • (2001) 3:1–39]
    • Gauss, C.F.1
  • 132
    • 0346443933 scopus 로고
    • Disquisitiones Arithmeticae, Lipsiae: Gerh
    • — [1801] Disquisitiones Arithmeticae, Lipsiae: Gerh. Fleischer, 1801. In [WW, 1:1–475].
    • (1801) Fleischer , vol.1 , pp. 1801
  • 133
    • 85049320746 scopus 로고    scopus 로고
    • — [1812a] Anzeige der Disquisitiones generales circa seriem infinitam Göttingische gelehrte Anzeigen, 10 February 1812. In [WW, 3:197–202]. — [1812b] Disquisitiones generales circa seriem infinitam 1 +
    • α(α+1)(α+2)β(β+1)(β+2) 1·2·3·γ(γ+1)(γ+2)
    • (2018) Applied Energy
  • 134
    • 85145681395 scopus 로고
    • Review of J.C. Schwab, Commentatio in primum elemen-torum Euclidis librum, qua veritatem geometriae principiis ontologicis niti evincitur, omnesque propositiones, axiomatum geometricorum loco habitae, demonstrantur (Stuttgart, 1814) and of Matthias Metternich, Vollständige Theorie der Parallel-Linien (Mainz, 1815)
    • — [1816] Review of J.C. Schwab, Commentatio in primum elemen-torum Euclidis librum, qua veritatem geometriae principiis ontologicis niti evincitur, omnesque propositiones, axiomatum geometricorum loco habitae, demonstrantur (Stuttgart, 1814) and of Matthias Metternich, Vollständige Theorie der Parallel-Linien (Mainz, 1815). Göttingische gelehrte Anzeigen, 20 April 1816. In [WW, 8:170–174].
    • (1816) Göttingische Gelehrte Anzeigen, 20 April , vol.1 , pp. 1816
  • 135
    • 85145707898 scopus 로고
    • Anzeige der Theoria residuorum biquadraticorum. Commen-tatio secunda
    • — [1831] Anzeige der Theoria residuorum biquadraticorum. Commen-tatio secunda, Göttingische gelehrte Anzeigen, 23 April 1831. In [WW, 2:169–178].
    • (1831) Göttingische Gelehrte Anzeigen, 23 April , vol.1 , pp. 1831
  • 136
    • 85049320746 scopus 로고    scopus 로고
    • — [1832] Theoria residuorum biquadraticorum. Commentatio secunda, Commentationes Societatis Regiae Scientiarum Gottingensis recentiores, 7 (1832). In [WW, 2:93–148].
    • — [1832] Theoria residuorum biquadraticorum. Commentatio secunda, Commentationes Societatis Regiae Scientiarum Gottingensis recentiores, 7 (1832). In [WW, 2:93–148].
    • (2018) Applied Energy
  • 137
    • 85049320746 scopus 로고    scopus 로고
    • — [WO] De integratione formulae differentialis (1 + n cos ψ)
    • ν dψ. In [WW, 8:35–64].
    • (2018) Applied Energy
  • 138
    • 85049320746 scopus 로고    scopus 로고
    • — [WA] Determinatio seriei nostrae per aequationem differentialem secondi ordinis. In [WW, 3: 207–229].
    • — [WA] Determinatio seriei nostrae per aequationem differentialem secondi ordinis. In [WW, 3: 207–229].
    • (2018) Applied Energy
  • 139
    • 85049320746 scopus 로고    scopus 로고
    • — [WB] Zur Theorie der unendlichen Reihe F (α, β, γ, x). In [WW, 10 pt 1: 326–359].
    • — [WB] Zur Theorie der unendlichen Reihe F (α, β, γ, x). In [WW, 10 pt 1: 326–359].
    • (2018) Applied Energy
  • 140
    • 85049320746 scopus 로고    scopus 로고
    • — [WC] Zur Lehre von den Reihen. In [WW, 10 pt 1: 382–428].
    • — [WC] Zur Lehre von den Reihen. In [WW, 10 pt 1: 382–428].
    • (2018) Applied Energy
  • 141
    • 85049320746 scopus 로고    scopus 로고
    • — [WD] Zur Metaphysik der Mathematik. In [WW, 12:57–61].
    • — [WD] Zur Metaphysik der Mathematik. In [WW, 12:57–61].
    • (2018) Applied Energy
  • 142
    • 85049320746 scopus 로고    scopus 로고
    • — [WW] Werke, Göttingen, Leipzig, and Berlin: Königliche Gesellschaft der Wissenchaften, 1863–1929, 12 vols.
    • — [WW] Werke, Göttingen, Leipzig, and Berlin: Königliche Gesellschaft der Wissenchaften, 1863–1929, 12 vols.
    • (2018) Applied Energy
  • 143
    • 85049320746 scopus 로고    scopus 로고
    • Giusti, E. [1991] Le prime ricerche di Pietro Mengoli: la somma delle serie, Proceedings of the international meeting “Geometry and Complex Variables”, New York: Dekker, 1991, pp. 195–213.
    • Giusti, E. [1991] Le prime ricerche di Pietro Mengoli: la somma delle serie, Proceedings of the international meeting “Geometry and Complex Variables”, New York: Dekker, 1991, pp. 195–213.
    • (2018) Applied Energy
  • 145
    • 85145719364 scopus 로고
    • Gillies, D. (eds.), Oxford: Claredon Press
    • Gillies, D. (eds.) [1992] Revolutions in Mathematics, Oxford: Claredon Press, 1992.
    • (1992) [1992] Revolutions in Mathematics
  • 146
    • 0040543335 scopus 로고    scopus 로고
    • 1720] Specimen methodi ad summas serierum
    • Goldbach, C. [1720] Specimen methodi ad summas serierum, Acta eruditorum (1720), pp. 27–31.
    • Acta Eruditorum (1720) , pp. 27-31
    • Goldbach, C.1
  • 147
    • 85049320746 scopus 로고    scopus 로고
    • — [1727] De transformatione serierum, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 2 (1727), published in 1729, pp. 30–34.
    • — [1727] De transformatione serierum, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 2 (1727), published in 1729, pp. 30–34.
    • (2018) Applied Energy
  • 148
    • 85145715915 scopus 로고    scopus 로고
    • De terminis generalibus serierum, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1728), published in 1732, pp
    • — [1728] De terminis generalibus serierum, Commentarii Academiae Scientiarum Imperialis Petropolitanae, 3 (1728), published in 1732, pp. 164– 173.
    • (2001) 164– , pp. 173
  • 150
    • 0011607977 scopus 로고
    • Euler’s troublesome series: An early example of the use of trigonometric series
    • Golland, L.A. and Golland, R.W. [1993] Euler’s troublesome series: An early example of the use of trigonometric series, Historia Mathematica, 20 (1993), pp. 54–67.
    • (1993) Historia Mathematica , vol.20 , Issue.1993 , pp. 54-67
    • Golland, L.A.1    Golland, R.W.2
  • 152
    • 85145739806 scopus 로고    scopus 로고
    • Quadratura circuli et hyperbolae, Pisis: Ex typographia F
    • Grandi, G. [1703] Quadratura circuli et hyperbolae, Pisis: ex typographia F. Bindi, 1703.
    • (2001) Bindi , pp. 1703
    • Grandi, G.1
  • 153
    • 85145713762 scopus 로고
    • Convolutions in French Mathematics, 1800–1840
    • Grattan–Guinness, I. [1990] Convolutions in French Mathematics, 1800–1840, Basel: Birkhāuser Verlag,1990.
    • (1990) Basel: Birkhāuser Verlag , pp. 1990
  • 154
    • 0030295754 scopus 로고    scopus 로고
    • Numbers, magnitudes, ratios and proportions in Euclid’s Elements: How did he handle them?
    • — [1996] Numbers, magnitudes, ratios and proportions in Euclid’s Elements: How did he handle them?, Historia Mathematica, 23 (1996), pp. 355–375.
    • (1996) Historia Mathematica , vol.23 , Issue.1996 , pp. 355-375
  • 155
    • 0008232902 scopus 로고
    • Cambridge: MIT Press
    • Grattan–Guinness, I.and Ravetz, J.R. [1972] Joseph Fourier 1768– 1830, Cambridge: MIT Press, 1972.
    • (1972) Joseph Fourier 1768– 1830 , pp. 1972
  • 156
    • 34547794396 scopus 로고
    • A commentary on Gauss’s mathematical diary, 1796– 1814, with an English translation
    • Gray, J. [1984] A commentary on Gauss’s mathematical diary, 1796– 1814, with an English translation, Expositiones Mathematicae, 2 (1984), pp. 97–130.
    • (1984) Expositiones Mathematicae , vol.2 , Issue.1984 , pp. 97-130
    • Gray, J.1
  • 157
    • 85145677393 scopus 로고
    • Linear Differential Equations and Group Theory from Reimann to Poincaré, Boston: Birkhäuser, 1986. (2nd edition Boston: Birkhäuser
    • — [1986] Linear Differential Equations and Group Theory from Reimann to Poincaré, Boston: Birkhäuser, 1986. (2nd edition Boston: Birkhäuser, 2000).
    • (1986) 2000)
  • 158
    • 85049320746 scopus 로고    scopus 로고
    • — [1992] The nineteenth-century revolution in mathematical ontology. In Gillies [1992, 226–248].
    • — [1992] The nineteenth-century revolution in mathematical ontology. In Gillies [1992, 226–248].
    • (2018) Applied Energy
  • 161
    • 70350331833 scopus 로고
    • London: Godbid and Pitt
    • — [1668] Exercitationes Geometricae, London: Godbid and Pitt, 1668.
    • (1668) Exercitationes Geometricae , pp. 1668
  • 164
    • 84935742424 scopus 로고
    • A most compendius and facile method for constructing the logarithms, exemplified and demonstrated from the nature of numbers, without any regard to the hyperbola, with a speedy method for finding the number from the logarithm given
    • Halley, E. [1695] A most compendius and facile method for constructing the logarithms, exemplified and demonstrated from the nature of numbers, without any regard to the hyperbola, with a speedy method for finding the number from the logarithm given, Philosophical Transactions, 19 (1695– 97), pp. 58–67.
    • (1695) Philosophical Transactions , vol.19 , Issue.1695-97 , pp. 58-67
    • Halley, E.1
  • 165
    • 0003847267 scopus 로고
    • Oxford: Clarendon Press
    • Hardy, G.H. [1949] Divergent Series, Oxford: Clarendon Press, 1949.
    • (1949) Divergent Series , pp. 1949
    • Hardy, G.H.1
  • 166
    • 85145742007 scopus 로고    scopus 로고
    • Leibniz’s construction of Mathesis Universalis: A consideration of the relationship between the plan and his mathematical contributions
    • Hayashi, T. [2002] Leibniz’s construction of Mathesis Universalis: A consideration of the relationship between the plan and his mathematical contributions, Historia Scientiarum, 12 (2002), pp. 121–141.
    • (2002) Historia Scientiarum , vol.12 , Issue.2002 , pp. 121-141
    • Hayashi, T.1
  • 167
    • 25344455923 scopus 로고
    • The problem of infinitesimal small quantities in the Leibnizian mathematics
    • Supplementa
    • Horvàth, M. [1982] The problem of infinitesimal small quantities in the Leibnizian mathematics, Studia Leibnitiana, Supplementa 22 (1982), pp. 150–157.
    • (1982) Studia Leibnitiana , vol.22 , Issue.1982 , pp. 150-157
    • Horvàth, M.1
  • 168
    • 25344479442 scopus 로고
    • On the attempts made by Leibniz to justify his calculus
    • — [1986] On the attempts made by Leibniz to justify his calculus, Studia Leibnitiana, 18 (1986), pp. 60–71.
    • (1986) Studia Leibnitiana , vol.18 , Issue.1986 , pp. 60-71
  • 169
    • 85049320746 scopus 로고    scopus 로고
    • Huygens, C. [P] Descriptio automati planetarii in Oevres Complètes de Christiaan Huygens, La Haye: M. Nijhoff, 1888–1950, vol.21, pp. 579– 647.
    • Huygens, C. [P] Descriptio automati planetarii in Oevres Complètes de Christiaan Huygens, La Haye: M. Nijhoff, 1888–1950, vol.21, pp. 579– 647.
    • (2018) Applied Energy
  • 170
    • 0346501366 scopus 로고
    • Motive und Probleme der Arithmetisierung der Mathematik in der ersten Hälfte des 19. Jahrhunderts – Cauchys Analysis in der Sicht des Mathematikers Martin Ohm
    • Jahnke, H.N. [1987] Motive und Probleme der Arithmetisierung der Mathematik in der ersten Hälfte des 19. Jahrhunderts – Cauchys Analysis in der Sicht des Mathematikers Martin Ohm, Archive for History of Exact Sciences, 37 (1987), pp. 101–182.
    • (1987) Archive for History of Exact Sciences , vol.37 , Issue.1987 , pp. 101-182
    • Jahnke, H.N.1
  • 171
    • 38249002917 scopus 로고
    • Algebraic analysis in Germany, 1780–1840: Some mathematical and philosophical issues
    • — [1993] Algebraic analysis in Germany, 1780–1840: Some mathematical and philosophical issues, Historia Mathematica, 20 (1993), pp. 265–284.
    • (1993) Historia Mathematica , vol.20 , Issue.1993 , pp. 265-284
  • 172
    • 85145682532 scopus 로고    scopus 로고
    • Jahnke, H.N. (ed.), Providence: American Mathematical Society
    • Jahnke, H.N. (ed.) [2003] A History of Analysis. Providence: American Mathematical Society, 2003.
    • (2003) [2003] a History of Analysis
  • 173
    • 38249034965 scopus 로고
    • The Calculus of the Trigonometric Functions
    • Katz, V.J. [1987] The Calculus of the Trigonometric Functions, Historia Mathematica 14 (1987), pp. 311–324.
    • (1987) Historia Mathematica , vol.14 , Issue.1987 , pp. 311-324
    • Katz, V.J.1
  • 176
    • 85049320746 scopus 로고    scopus 로고
    • Knobloch, E. [1991] Leibniz and Euler: Problems and solutions concerning infinitesimal geometry and calculus, in: Giornate di Storia della Matematica, M.Galuzzi (ed.), Commenda di Rende: Editel, 1991, pp. 271– 293.
    • Knobloch, E. [1991] Leibniz and Euler: Problems and solutions concerning infinitesimal geometry and calculus, in: Giornate di Storia della Matematica, M.Galuzzi (ed.), Commenda di Rende: Editel, 1991, pp. 271– 293.
    • (2018) Applied Energy
  • 177
    • 85145710889 scopus 로고
    • Leibniz et son manuscrit inédité sur la quadrature des sections coniques
    • in The Leibniz Renaissance, M. Mugnai (ed.)
    • — [1989] Leibniz et son manuscrit inédité sur la quadrature des sections coniques, in The Leibniz Renaissance, M. Mugnai (ed.), Firenze: 1989, pp. 127–151.
    • (1989) Firenze , vol.1989 , pp. 127-151
  • 178
    • 1342342801 scopus 로고    scopus 로고
    • Galileo and Leibniz: Different approaches to infinity
    • — [1999] Galileo and Leibniz: Different approaches to infinity, Archive for History of Exact Sciences, 54 (1999), pp. 87–99.
    • (1999) Archive for History of Exact Sciences , vol.54 , Issue.1999 , pp. 87-99
  • 179
    • 0011827989 scopus 로고
    • The calculus of operations and the rise of abstract algebra
    • Koppelman, E. [1971] The calculus of operations and the rise of abstract algebra, Archive for History of Exact Sciences, 8 (1971), pp. 155–241.
    • (1971) Archive for History of Exact Sciences , vol.8 , Issue.1971 , pp. 155-241
    • Koppelman, E.1
  • 181
    • 85049320746 scopus 로고    scopus 로고
    • Lacroix, S.F. [1797–1800] Traité du calcul différentiel et du calcul intégral, Paris: Duprat, 1797–1800 (3 vols).
    • Lacroix, S.F. [1797–1800] Traité du calcul différentiel et du calcul intégral, Paris: Duprat, 1797–1800 (3 vols).
    • (2018) Applied Energy
  • 182
    • 85145692789 scopus 로고    scopus 로고
    • — [1810–19] Traité du calcul différentiel et du calcul intégral, Second edition, revue et augmentee. Paris: Courcier, 1810–1819, 3 vols.
    • , vol.3 , pp. 1810-1819
  • 184
  • 185
    • 85049320746 scopus 로고    scopus 로고
    • — [1760–61] Addition aux premières recherches sur la nature, et la propagation du son, Miscellanea Taurinensia, 2 (1760–61), classe mathématique, pp. i–x and 1–112. In [Œuvr, 1:319–333].
    • — [1760–61] Addition aux premières recherches sur la nature, et la propagation du son, Miscellanea Taurinensia, 2 (1760–61), classe mathématique, pp. i–x and 1–112. In [Œuvr, 1:319–333].
    • (2018) Applied Energy
  • 186
    • 85049320746 scopus 로고    scopus 로고
    • — [1766] Sur l’intégration de quelques équations différentielles dont les indéterminées sont séparées, mais dont chaque membre en particulier n’est point intégrable, Miscellanea Taurinensia, 4 (1766). In [Œuvr 9, 5–33].
    • — [1766] Sur l’intégration de quelques équations différentielles dont les indéterminées sont séparées, mais dont chaque membre en particulier n’est point intégrable, Miscellanea Taurinensia, 4 (1766). In [Œuvr 9, 5–33].
    • (2018) Applied Energy
  • 187
    • 0005634630 scopus 로고    scopus 로고
    • Nouvelle méthode pour résoudre le équations littérales par le moyen des séries
    • — [1768] Nouvelle méthode pour résoudre le équations littérales par le moyen des séries, Histoire de l’Académie Royale des Sciences et des Belles-Lettres de Berlin (1768), pp. 251–326. In [Œuvr, 3: 5–76].
    • (2001) Histoire De l’Académie Royale Des Sciences Et Des Belles-Lettres De Berlin (1768) , vol.1 , pp. 251-326
  • 189
    • 84957435799 scopus 로고    scopus 로고
    • Sur une nouvelle espèce de calcul relatif à la différentiation et à l’intégration des quantitès variable
    • — [1772] Sur une nouvelle espèce de calcul relatif à la différentiation et à l’intégration des quantitès variable, Nouveaux Mémoires de l’Académie Royale des Sciences et de Belles-Lettres de Berlin (1772), pp. 185–221. In [Œuvr, 3: 441–476].
    • (2001) Nouveaux Mémoires De l’Académie Royale Des Sciences Et De Belles-Lettres De Berlin (1772) , vol.1 , pp. 185-221
  • 192
    • 85145731632 scopus 로고    scopus 로고
    • Traité de mécanique analytique
    • — [1788] Traité de mécanique analytique, Paris: Desaint 1788. In [Œuvr, 12].
    • (2001) Paris: Desaint , vol.1 , pp. 1788
  • 193
    • 85049320746 scopus 로고    scopus 로고
    • — [1792] Mémoire sur le méthode d’interpolation, Nouveaux Mémoires de l’Académie Royale des Sciences et de Belles–Lettres de Berlin, 40 (1792– 1793), pp. 267–288. In [Œuvr, 5:663–684].
    • — [1792] Mémoire sur le méthode d’interpolation, Nouveaux Mémoires de l’Académie Royale des Sciences et de Belles–Lettres de Berlin, 40 (1792– 1793), pp. 267–288. In [Œuvr, 5:663–684].
    • (2018) Applied Energy
  • 194
    • 85145736978 scopus 로고    scopus 로고
    • Théorie des fonctions analytiques, Paris: Impr. De la Républ-ique, 2nd. ed. Paris: Courcier 1813. In [Œuvr
    • — [1797] Théorie des fonctions analytiques, Paris: Impr. De la Républ-ique, 2nd. ed. Paris: Courcier 1813. In [Œuvr, 9].
    • (2001) 9]
  • 195
    • 85145706880 scopus 로고    scopus 로고
    • Traitè de la résolution des équations numériques de tous les degrés, Paris: Duprat 1798. 2nd ed., Paris: Courcier 1806. In [Œuvr
    • — [1798] Traitè de la résolution des équations numériques de tous les degrés, Paris: Duprat 1798. 2nd ed., Paris: Courcier 1806. In [Œuvr, 8].
    • (2001) 8]
  • 196
    • 85145703076 scopus 로고
    • Leçon sur le calcul des fonctions, 2nd ed., Paris: Courcier, 1806. In [Œuvres
    • — [1806] Leçon sur le calcul des fonctions, 2nd ed., Paris: Courcier, 1806. In [Œuvres, 10].
    • (1806) 10]
  • 197
    • 85049320746 scopus 로고    scopus 로고
    • — [Œuvr] Œuvres de Lagrange, M.J.-A. Serret [et G. Darboux] (ed.), Paris: Gauthier–Villars, 1867–1892, 14 vols.
    • — [Œuvr] Œuvres de Lagrange, M.J.-A. Serret [et G. Darboux] (ed.), Paris: Gauthier–Villars, 1867–1892, 14 vols.
    • (2018) Applied Energy
  • 199
    • 85145707275 scopus 로고    scopus 로고
    • A New Branch of Algebraic Art, of Very Extensive Use Both in Pure Mathe-maticks and Natural Philosophy, London
    • Landen, J. [1758] A Discourse Concerning the Residual Analysis: A New Branch of Algebraic Art, of Very Extensive Use Both in Pure Mathe-maticks and Natural Philosophy, London: 1758.
    • (2001) A Discourse concerning the Residual Analysis , pp. 1758
    • Landen, J.1
  • 200
    • 85049320746 scopus 로고    scopus 로고
    • Laplace, P.S. [1773] Mémoire sur l’inclinaison moyenne des orbites des comètes, sur la figure de la Terre et sur les fonctions, Mémoires de l’Académie royale des sciences de Paris (Savants étrangers), 7 (1773), pp. 503–540. In [ŒC, 8:279–321].
    • Laplace, P.S. [1773] Mémoire sur l’inclinaison moyenne des orbites des comètes, sur la figure de la Terre et sur les fonctions, Mémoires de l’Académie royale des sciences de Paris (Savants étrangers), 7 (1773), pp. 503–540. In [ŒC, 8:279–321].
    • (2018) Applied Energy
  • 201
    • 85145719679 scopus 로고    scopus 로고
    • Mémoire sur l’usage du calcul aux différences partielles dans la théorie des suites
    • — [1777] Mémoire sur l’usage du calcul aux différences partielles dans la théorie des suites, Mémoires de l’Académie royale des sciences de Paris (1777). In [ŒC, 9:313–335].
    • (2001) Mémoires De l’Académie Royale Des Sciences De Paris (1777) , vol.1
  • 202
    • 85049320746 scopus 로고    scopus 로고
    • — [1779] Mémoire sur les suites, Mémoires de l’Académie royale des sciences de Paris. Mémoires mathématiques et physique ( 1779–1782), pp. 207–309. In [ŒC, 10:1–89].
    • — [1779] Mémoire sur les suites, Mémoires de l’Académie royale des sciences de Paris. Mémoires mathématiques et physique ( 1779–1782), pp. 207–309. In [ŒC, 10:1–89].
    • (2018) Applied Energy
  • 204
    • 85049320746 scopus 로고    scopus 로고
    • — [1785] Théorie des attractions des sphéroïdes et de la figure des planètes, Mémoires de l’Academie Royal des Sciences de Paris. Mémoires mathématiques et physique ( 1782–1785), pp. 207–309. In [ŒC, 10:339–419].
    • — [1785] Théorie des attractions des sphéroïdes et de la figure des planètes, Mémoires de l’Academie Royal des Sciences de Paris. Mémoires mathématiques et physique ( 1782–1785), pp. 207–309. In [ŒC, 10:339–419].
    • (2018) Applied Energy
  • 205
    • 85049320746 scopus 로고    scopus 로고
    • — [1799–1825] Traité de mècanique céleste, Paris: Courcier 1799–1825. In [ŒC, vols. 1–5]
    • — [1799–1825] Traité de mècanique céleste, Paris: Courcier 1799–1825. In [ŒC, vols. 1–5]
    • (2018) Applied Energy
  • 206
    • 85145710718 scopus 로고
    • l’École Polytechnique, XV Cahier
    • l’École Polytechnique, XV Cahier, Tome VIII; 1809. In [ŒC, 14:178–214].
    • (1809) Tome VIII , vol.1 , pp. 1809
  • 208
    • 85049320746 scopus 로고    scopus 로고
    • — [ŒC] Œuvres Complète de Laplace, Paris: Gauthier–Villars, 1867– 1892, 14 vols.
    • — [ŒC] Œuvres Complète de Laplace, Paris: Gauthier–Villars, 1867– 1892, 14 vols.
    • (2018) Applied Energy
  • 209
    • 38249037645 scopus 로고
    • Infinitely small quantities in Cauchy’s textbooks
    • Laugwitz, D. [1987] Infinitely small quantities in Cauchy’s textbooks, Historia Mathematica, 14 (1987), pp. 258–274.
    • (1987) Historia Mathematica , vol.14 , Issue.1987 , pp. 258-274
    • Laugwitz, D.1
  • 210
    • 29244479894 scopus 로고    scopus 로고
    • Recherches sur l’attraction des sphéroïdes ho-mogènes, Mémoires de mathématique et de physique, présentés à l’Académie Royale des Sciences par divers savans et lus dans ses assemblées
    • Legendre, A.M. [1785] Recherches sur l’attraction des sphéroïdes ho-mogènes, Mémoires de mathématique et de physique, présentés à l’Académie Royale des Sciences par divers savans et lus dans ses assemblées, Académie des Sciences (Paris), 10 (1785), pp. 411–434.
    • (2001) Académie Des Sciences (Paris) , vol.10 , Issue.1785 , pp. 411-434
    • Legendre, A.M.1
  • 211
    • 85145729892 scopus 로고    scopus 로고
    • Paris: DuPont and Didot. The second year of the Republic
    • — [1794] Mémoire sur les transcendantes elliptiques, Paris: DuPont and Didot. The second year of the Republic.
    • (2001) Mémoire Sur Les Transcendantes Elliptiques
  • 212
    • 85145712706 scopus 로고    scopus 로고
    • — [1811–17] Exercices de Calcul Intégral, sur divers ordres de Transcendantes et sur les quadratures, Paris: Courcier, 1811–1817.
  • 213
    • 85049320746 scopus 로고    scopus 로고
    • Leibniz, G. W. [1682] De vera proportione circulis ad quadratum circumscriptum in numeris rationalibus expressa, Acta Eruditorum (1682), pp. 41–46. In Leibniz [GMS, 5:118–122].
    • Leibniz, G. W. [1682] De vera proportione circulis ad quadratum circumscriptum in numeris rationalibus expressa, Acta Eruditorum (1682), pp. 41–46. In Leibniz [GMS, 5:118–122].
    • (2018) Applied Energy
  • 214
    • 85049320746 scopus 로고    scopus 로고
    • — [1684] Meditationes de cognitione, veritate et ideis, Acta Eruditorum (1684) pp. 537–542. In Leibniz [GP, 4:422–426].
    • — [1684] Meditationes de cognitione, veritate et ideis, Acta Eruditorum (1684) pp. 537–542. In Leibniz [GP, 4:422–426].
    • (2018) Applied Energy
  • 215
    • 85049320746 scopus 로고    scopus 로고
    • — [1691] Quadratura arithmetica communis sectionum conicarum, quae centrum habent, indeque ducta trigonometria canonica ad quantamcumque in numeris exactitudinem a tabularum necessitate liberata, cum usu spe-ciali ad lineam rhomborum nauticam, aptatumque illi planisphaerium, Acta Eruditorum (1691), pp. 178–182. In Leibniz [GMS, 5:128–132].
    • — [1691] Quadratura arithmetica communis sectionum conicarum, quae centrum habent, indeque ducta trigonometria canonica ad quantamcumque in numeris exactitudinem a tabularum necessitate liberata, cum usu spe-ciali ad lineam rhomborum nauticam, aptatumque illi planisphaerium, Acta Eruditorum (1691), pp. 178–182. In Leibniz [GMS, 5:128–132].
    • (2018) Applied Energy
  • 216
    • 85049320746 scopus 로고    scopus 로고
    • — [1693] Supplementum geometriae practicae sese ad problemata tran-scendentia extendens, ope novae methodi generalissimae per series infinitas, Acta Eruditorum (1693) pp. 178–180. In Leibniz [GMS, 5:285–288].
    • — [1693] Supplementum geometriae practicae sese ad problemata tran-scendentia extendens, ope novae methodi generalissimae per series infinitas, Acta Eruditorum (1693) pp. 178–180. In Leibniz [GMS, 5:285–288].
    • (2018) Applied Energy
  • 217
    • 85049320746 scopus 로고    scopus 로고
    • — [1710] Symbolismus memorabilis calculi algebraici et infinitesimalis in comparatione potentiarum et differentiarum, et de lege homogeneorum transcendentali, Miscellanea Berolinensia (1710), pp. 160–165. In Leibniz [GMS, 5:377–382].
    • — [1710] Symbolismus memorabilis calculi algebraici et infinitesimalis in comparatione potentiarum et differentiarum, et de lege homogeneorum transcendentali, Miscellanea Berolinensia (1710), pp. 160–165. In Leibniz [GMS, 5:377–382].
    • (2018) Applied Energy
  • 218
    • 85049320746 scopus 로고    scopus 로고
    • — [1713] Epistola ad V. Cl. Christianum Wolfium, Professorem matheseos Halensem, circa scientiam infiniti, Acta Eruditorum Supplem., 5 (1713), pp. 264–270. In Leibniz [GMS, 5:382–487].
    • — [1713] Epistola ad V. Cl. Christianum Wolfium, Professorem matheseos Halensem, circa scientiam infiniti, Acta Eruditorum Supplem., 5 (1713), pp. 264–270. In Leibniz [GMS, 5:382–487].
    • (2018) Applied Energy
  • 219
    • 85049320746 scopus 로고    scopus 로고
    • — [D] Gothofridi Guillemi Leibnitii Opera Omnia, nunc primum collecta, in classes distribuita, praefationibus et indicibus exhornata, studio Ludovici Dutens, Genevae: Fratres de Tournes, 1768 (6 vols.).
    • — [D] Gothofridi Guillemi Leibnitii Opera Omnia, nunc primum collecta, in classes distribuita, praefationibus et indicibus exhornata, studio Ludovici Dutens, Genevae: Fratres de Tournes, 1768 (6 vols.).
    • (2018) Applied Energy
  • 220
    • 85049320746 scopus 로고    scopus 로고
    • — [GP] Die philosophischen Schriften von G.W. Leibniz, C.I. Gerhardt (ed.), Berlin: Weidmann, 1875–1890.
    • — [GP] Die philosophischen Schriften von G.W. Leibniz, C.I. Gerhardt (ed.), Berlin: Weidmann, 1875–1890.
    • (2018) Applied Energy
  • 221
    • 85049320746 scopus 로고    scopus 로고
    • —[GMS] Leibnizes mathematische Schriften, C.I. Gerhardt (ed.), Berlin: Asher & Comp. 1849–1850: vols. I–II; Halle: H. W. Schmidt, 1855–1863: vols. III–VII.
    • —[GMS] Leibnizes mathematische Schriften, C.I. Gerhardt (ed.), Berlin: Asher & Comp. 1849–1850: vols. I–II; Halle: H. W. Schmidt, 1855–1863: vols. III–VII.
    • (2018) Applied Energy
  • 222
    • 85049320746 scopus 로고    scopus 로고
    • — [GBLW] Briefwechsel zwischen Leibniz und Christian Wolff, C.I. Gerhardt (ed.), Halle: 1860, reprinted Hildesheim: 1963.
    • — [GBLW] Briefwechsel zwischen Leibniz und Christian Wolff, C.I. Gerhardt (ed.), Halle: 1860, reprinted Hildesheim: 1963.
    • (2018) Applied Energy
  • 223
    • 85049320746 scopus 로고    scopus 로고
    • — [KQA] De quadratura arithmetica circuli ellipseos et hyperbolae cu-jus corollarium est trigonometria sine tabulis, E. Knobloch (ed.), Göttingen: Vandenhoeck & Ruprecht, 1993.
    • — [KQA] De quadratura arithmetica circuli ellipseos et hyperbolae cu-jus corollarium est trigonometria sine tabulis, E. Knobloch (ed.), Göttingen: Vandenhoeck & Ruprecht, 1993.
    • (2018) Applied Energy
  • 224
    • 85145681833 scopus 로고    scopus 로고
    • Bernoulli Commercium philosophicarum et mathemati-carum
    • Leibniz, G.W.–Bernoulli, Johann [LB] Virorum celeberr. Got. Gul. Leibnitii et Johan. Bernoulli Commercium philosophicarum et mathemati-carum, Lousannae et Genevae: M.M.Bousquet, 1745.
    • (2001) Lousannae Et Genevae: M.M.Bousquet
  • 225
    • 40849119286 scopus 로고
    • Review of P.H. Fuss, Correspondance mathématique et physique de quelque célèbres géomètres du XVIIIème siècle
    • Janvier
    • Libri, G [1846] Review of P.H. Fuss, Correspondance mathématique et physique de quelque célèbres géomètres du XVIIIème siècle, Journal des Savants, Janvier 1846, pp. 50–62.
    • (1846) Journal Des Savants , vol.1846 , pp. 50-62
    • Libri, G.1
  • 226
    • 85145683450 scopus 로고    scopus 로고
    • Théorie d’une novelle espèce de calcul fini et infinitésimal
    • Lorgna, A–M, [1787] Théorie d’une novelle espèce de calcul fini et infinitésimal, Mémoire de l’academie Royal de Turin, 8 (1786–1787), pp. 411–430.
    • (2001) Mémoire De l’academie Royal De Turin , vol.8 , Issue.1786-1787 , pp. 411-430
    • Lorgna, A.–.M.1
  • 227
    • 34250019032 scopus 로고
    • Euler vision of a general partial–differential calculus for a generalized kind of functions
    • Lützen, J. [1993] Euler vision of a general partial–differential calculus for a generalized kind of functions, Mathematics Magazine, 56 (1983), pp. 299–306.
    • (1993) Mathematics Magazine , vol.56 , Issue.1983 , pp. 299-306
    • Lützen, J.1
  • 228
    • 85145704537 scopus 로고    scopus 로고
    • The foundation of analysis in the 19th Century, in Jahnke [2003
    • — [2003a] The foundation of analysis in the 19th Century, in Jahnke [2003, 155–195].
    • (2003) 155–195]
  • 230
    • 85145710694 scopus 로고
    • Analyse des Infiniment petits, pour l’intell-igence des lignes courbes, 2nd ed., Paris: F. Montalant, 2 ed
    • de l’Hôpital, G.F.A. [1696] Analyse des Infiniment petits, pour l’intell-igence des lignes courbes, 2nd ed., Paris: F. Montalant, 2 ed., 1716.
    • (1696) 1716
    • de l’Hôpital, G.F.A.1
  • 231
    • 0040328971 scopus 로고    scopus 로고
    • 1742] A Treatise of Fluxions in Two Books
    • Edinburgh
    • Maclaurin, C. [1742] A Treatise of Fluxions in Two Books, Edinburgh: Ruddimans 1742, 2 vols.
    • Ruddimans 1742 , vol.2
    • Maclaurin, C.1
  • 233
    • 85145674037 scopus 로고
    • Fra Descartes e Newton. Isaac Barrow e John Wallis, Cosenza: Rubbettino
    • Maierù, L. [1994] Fra Descartes e Newton. Isaac Barrow e John Wallis, Cosenza: Rubbettino, 1994.
    • (1994) , pp. 1994
    • Maierù, L.1
  • 234
    • 85145675831 scopus 로고
    • Metodi degli “Antichi ” e dei “Moderni ” nell’algebra di John Wallis. Considerazioni circa i nessi tra loro esistenti, in Panza–Roero [1995
    • — [1995] Metodi degli “Antichi ” e dei “Moderni ” nell’algebra di John Wallis. Considerazioni circa i nessi tra loro esistenti, in Panza–Roero [1995, 85–130].
    • (1995) 85–130]
  • 235
    • 85145706212 scopus 로고    scopus 로고
    • Il “continuo” nella Arithmetica Infinitorum di John Wallis, Atomismo e Continuo nel XVII secolo in Atti del Convegno Internazionale “Atomisme et Continuum au XVIII Siècle”, Napoli, 28–29–30 aprile 1997, E. Festa and R. Gatto (eds.), Napoli: Vivarium, Napoli, 2000, pp
    • — [2000] Il “continuo” nella Arithmetica Infinitorum di John Wallis, Atomismo e Continuo nel XVII secolo in Atti del Convegno Internazionale “Atomisme et Continuum au XVIII Siècle”, Napoli, 28–29–30 aprile 1997, E. Festa and R. Gatto (eds.), Napoli: Vivarium, Napoli, 2000, pp. 151–181.
    • (2000) 151–181
  • 236
    • 38149144765 scopus 로고
    • Mathematics and Mathematization in the Seventeenth Century
    • Malet, A. [1991] Mathematics and Mathematization in the Seventeenth Century, Studies in History and Philosophy of Science, 22 (1991) pp. 673–678.
    • (1991) Studies in History and Philosophy of Science , vol.22 , Issue.1991 , pp. 673-678
    • Malet, A.1
  • 237
    • 34250079769 scopus 로고
    • James Gregorie on Tangents and the “Taylor” Rule of Series Expansions
    • — [1993] James Gregorie on Tangents and the “Taylor” Rule of Series Expansions, Archive for History of Exact Sciences, 46 (1993), pp. 97–137.
    • (1993) Archive for History of Exact Sciences , vol.46 , Issue.1993 , pp. 97-137
  • 238
    • 33144474270 scopus 로고    scopus 로고
    • Renaissance notions of number and magnitude
    • — [2006] Renaissance notions of number and magnitude, Historia Mathematica, 33 (2006), pp. 63–81.
    • (2006) Historia Mathematica , vol.33 , Issue.2006 , pp. 63-81
  • 239
    • 0038879414 scopus 로고    scopus 로고
    • Mengoli on “quasi proportions”
    • Massa, M.R. [1997], Mengoli on “quasi proportions”, Historia Mathematica, 24 (1997), pp. 257–280.
    • (1997) Historia Mathematica , vol.24 , Issue.1997 , pp. 257-280
    • Massa, M.R.1
  • 240
    • 33750828239 scopus 로고    scopus 로고
    • La théorie des séries de Nicole Oresme dans sa perspective aristotélicienne. “Questions 1 et 2 sur la Géométrie d’Euclide”, Revue d’histoire
    • Mazet, E. [2003] La théorie des séries de Nicole Oresme dans sa perspective aristotélicienne. “Questions 1 et 2 sur la Géométrie d’Euclide”, Revue d’histoire des mathématiques 9 (2003), pp. 33–80.
    • (2003) Des mathématiques , vol.9 , Issue.2003 , pp. 33-80
    • Mazet, E.1
  • 241
    • 33144456242 scopus 로고
    • Novae quadraturae arithmeticae, seu de additione fractionum
    • Bologna
    • Mengoli, P. [1650] Novae quadraturae arithmeticae, seu de additione fractionum. Bologna: Iacobi Montii, 1650.
    • (1650) Iacobi Montii , pp. 1650
    • Mengoli, P.1
  • 242
    • 85145731253 scopus 로고
    • Geometriae speciosae elementa
    • — [1659] Geometriae speciosae elementa. Bologna: 1659.
    • (1659) Bologna , pp. 1659
  • 243
  • 246
    • 14544274835 scopus 로고
    • A method of raising an infinite multinomial to any given power, or extracting any given roots of the same
    • de Moivre, A. [1697] A method of raising an infinite multinomial to any given power, or extracting any given roots of the same, Philosophical Transaction, 9 (no. 230, 1697), pp. 619–625.
    • (1697) Philosophical Transaction , vol.9 , pp. 619-625
    • de Moivre, A.1
  • 247
    • 77349084734 scopus 로고
    • A method of extracting the root of an infinite equation
    • — [1698] A method of extracting the root of an infinite equation, Philosophical Transaction, 20 (no. 240, 1698), pp. 190–193.
    • (1698) Philosophical Transaction , vol.20 , pp. 190-193
  • 248
    • 85145748965 scopus 로고    scopus 로고
    • The Doctrine of Chances or a Method of Calculating the Probabilities of Events in Play
    • — [1718] The Doctrine of Chances or a Method of Calculating the Probabilities of Events in Play, London 1718.
    • (2001) London , pp. 1718
  • 249
    • 85145673039 scopus 로고    scopus 로고
    • De fractionibus algebraicis radicalitate immunibus ad fractionibus simpliciores reducendis, de que summandis terminis quarundum serierum aequali intervallo a se distantibus
    • — [1722] De fractionibus algebraicis radicalitate immunibus ad fractionibus simpliciores reducendis, de que summandis terminis quarundum serierum aequali intervallo a se distantibus, Philosophical Transaction, 32 (1722), pp. 167–172.
    • (2001) Philosophical Transaction , vol.32 , Issue.1722 , pp. 167-172
  • 251
    • 85145693363 scopus 로고    scopus 로고
    • The Doctrine of Chances or a Method of Calculating the Probabilities of Events in Play, 2nd ed., London
    • — [1738] The Doctrine of Chances or a Method of Calculating the Probabilities of Events in Play, 2nd ed., London, 1738.
    • (2001) 1738
  • 252
    • 85145738332 scopus 로고    scopus 로고
    • The Doctrine of Chances or a Method of Calculating the Probabilities of Events in Play, 3rd ed., London
    • — [1756] The Doctrine of Chances or a Method of Calculating the Probabilities of Events in Play, 3rd ed., London, 1756.
    • (2001) 1756
  • 254
    • 0043275450 scopus 로고    scopus 로고
    • Archimedes transformed: The case of a result stating a maximum for a cubic equation
    • — [1999b] Archimedes transformed: The case of a result stating a maximum for a cubic equation, Archive for History of Exact Sciences, 54 (1999), pp. 1–47.
    • (1999) Archive for History of Exact Sciences , vol.54 , Issue.1999 , pp. 1-47
  • 255
    • 85145693782 scopus 로고    scopus 로고
    • Tractatus de quadratura curvarum, in [OO
    • Newton, I. [1704] Tractatus de quadratura curvarum, in [OO, 1:332– 386].
    • (2001) 1:332– 386]
    • Newton, I.1
  • 256
    • 85145743882 scopus 로고    scopus 로고
    • Arithmetica universalis, sive de compositione et de resolutione arithmetica liber, in [OO
    • — [1707] Arithmetica universalis, sive de compositione et de resolutione arithmetica liber, in [OO, 1:1:234].
    • (2001) 1:1:234]
  • 257
    • 85145687900 scopus 로고    scopus 로고
    • De analysi per æquationes numero terminorum infinitas, in [OO
    • — [1711] De analysi per æquationes numero terminorum infinitas, in [OO, 1:257–283].
    • (2001) 1:257–283]
  • 258
    • 85145672830 scopus 로고    scopus 로고
    • [CE] Commercium epistolicum d. Johannis Collins et aliorium de analysi promota, London: Iussu Soc. Regoae
    • — [CE] Commercium epistolicum d. Johannis Collins et aliorium de analysi promota, London: Iussu Soc. Regoae, typis Paeersoniani, 1712.
    • (2001) Typis Paeersoniani
  • 261
    • 85049320746 scopus 로고    scopus 로고
    • — [OO] Opera quae exstant omnia commentariis illustrabat Samuel Horsley, Londini: J. Nichols, 1779–1885, 5 vols.
    • — [OO] Opera quae exstant omnia commentariis illustrabat Samuel Horsley, Londini: J. Nichols, 1779–1885, 5 vols.
    • (2018) Applied Energy
  • 262
    • 85049320746 scopus 로고    scopus 로고
    • — [PN] Philosophia naturalis principia mathematica. The third edition (1726) with variant readings assembled and edited by Alexandre Koyré and I. Bernard Cohen, with the assistence of Anne Whitman, Cambridge: Cambridge University Press, 1972.
    • — [PN] Philosophia naturalis principia mathematica. The third edition (1726) with variant readings assembled and edited by Alexandre Koyré and I. Bernard Cohen, with the assistence of Anne Whitman, Cambridge: Cambridge University Press, 1972.
    • (2018) Applied Energy
  • 263
    • 85049320746 scopus 로고    scopus 로고
    • — [M] The Mathematical Principles of Natural Philosophy, book two, translated by Andrew Motte, London: Benjamin Motte, 1729.
    • — [M] The Mathematical Principles of Natural Philosophy, book two, translated by Andrew Motte, London: Benjamin Motte, 1729.
    • (2018) Applied Energy
  • 264
    • 85049320746 scopus 로고    scopus 로고
    • — [C] The Correspondance of Isaac Newton, H.W. Turnbull, J.W. Scott and A.R. Hall (eds.), Cambridge: Cambridge University Press, 1959–1977, 7 vols.
    • — [C] The Correspondance of Isaac Newton, H.W. Turnbull, J.W. Scott and A.R. Hall (eds.), Cambridge: Cambridge University Press, 1959–1977, 7 vols.
    • (2018) Applied Energy
  • 265
    • 85049320746 scopus 로고    scopus 로고
    • — [MP] The Mathematical Papers of Isaac Newton, D.T. Whiteside (ed.), Cambridge: Cambridge University Press, 1967–1981, 8 vols.
    • — [MP] The Mathematical Papers of Isaac Newton, D.T. Whiteside (ed.), Cambridge: Cambridge University Press, 1967–1981, 8 vols.
    • (2018) Applied Energy
  • 266
    • 85049320746 scopus 로고    scopus 로고
    • — [QHW] Introduction to the quadrature of the curves, translated by John Harris, D.R. Wilkins (ed.), http://www.maths.tcd.ie/pub/HistMath/People/Newton/Quadratura/HarrisIQ.pdf.
    • — [QHW] Introduction to the quadrature of the curves, translated by John Harris, D.R. Wilkins (ed.), http://www.maths.tcd.ie/pub/HistMath/People/Newton/Quadratura/HarrisIQ.pdf.
    • (2018) Applied Energy
  • 268
    • 0345975564 scopus 로고
    • The ideas of Hermann Grassmann in the context of the mathematical and philosophical tradition since Leibniz
    • Otte, M. [1989] The ideas of Hermann Grassmann in the context of the mathematical and philosophical tradition since Leibniz, Historia Mathematica 16 (1989), pp. 1–35.
    • (1989) Historia Mathematica , vol.16 , Issue.1989 , pp. 1-35
    • Otte, M.1
  • 269
    • 85049320746 scopus 로고    scopus 로고
    • Otte, M. and Panza. M. [1997] (eds.) Analysis and synthesis in Mathematics. History and Philosophy, Dordrecht: Kluwer A.P., 1997.
    • Otte, M. and Panza. M. [1997] (eds.) Analysis and synthesis in Mathematics. History and Philosophy, Dordrecht: Kluwer A.P., 1997.
    • (2018) Applied Energy
  • 270
    • 85049320746 scopus 로고    scopus 로고
    • Panza, M. [1992] La forma della quantità. Analisi algebrica e analisi superiore: il problema dell’unità della matematica nel secolo dell’illuminismo, vols. 38–39 of the Cahiers d’Historie et de Philosophie des Sciences, 1992.
    • Panza, M. [1992] La forma della quantità. Analisi algebrica e analisi superiore: il problema dell’unità della matematica nel secolo dell’illuminismo, vols. 38–39 of the Cahiers d’Historie et de Philosophie des Sciences, 1992.
    • (2018) Applied Energy
  • 271
    • 85145742605 scopus 로고
    • Da Wallis a Newton: Una via verso il calcolo. Qudrature, serie e rappresentazioni infinite delle quantità e delle forme transcendenti, in Panza–Roero [1995
    • — [1995] Da Wallis a Newton: una via verso il calcolo. Qudrature, serie e rappresentazioni infinite delle quantità e delle forme transcendenti, in Panza–Roero [1995, 131–219].
    • (1995) 131–219]
  • 272
    • 85145682500 scopus 로고    scopus 로고
    • — [1996] Concept of function, between quantity and form, in the eighteenth century, in H.N. Jahnke, N. Knoche and M. Otte (eds.), History of Mathematics and Education: Ideas and Experiences, Göttingen: Vandenhoeck & Ruprecht, 1996, pp. 241–274.
    • — [1996] Concept of function, between quantity and form, in the eighteenth century, in H.N. Jahnke, N. Knoche and M. Otte (eds.), History of Mathematics and Education: Ideas and Experiences, Göttingen: Vandenhoeck & Ruprecht, 1996, pp. 241–274.
    • (2018) Applied Energy
  • 273
    • 85145672794 scopus 로고    scopus 로고
    • Classical sources for the concepts of analysis and synthesis, in Otte and Panza [1997
    • — [1997a] Classical sources for the concepts of analysis and synthesis, in Otte and Panza [1997, 365–414].
    • (1997) 365–414]
  • 274
    • 0038404725 scopus 로고    scopus 로고
    • Quelques distinctions à l’usage de l’historiographie des mathématiques
    • in J.–M. Salanskis, F. Rastier, R. Scheps (eds.)
    • — [1997b] Quelques distinctions à l’usage de l’historiographie des mathématiques, in J.–M. Salanskis, F. Rastier, R. Scheps (eds.), Herméneut-ique: texts, sciences, Paris: PUF, 1997, pp. 357–382.
    • (1997) Herméneut-ique: Texts, Sciences, Paris: PUF , vol.1997 , pp. 357-382
  • 275
    • 77954594253 scopus 로고    scopus 로고
    • Newton, Paris
    • — [2003] Newton, Paris: Les belles lettres, 2003.
    • (2003) Les Belles Lettres , pp. 2003
  • 277
    • 34547727478 scopus 로고
    • 88] Jalons historique pour une épistémologie de la série du binôme
    • Pensivy, M. [1987–88] Jalons historique pour une épistémologie de la série du binôme, Sciences et Techniques en Perspective, 14 (1987–1988).
    • (1987) Sciences Et Techniques En Perspective , vol.14 , Issue.1987-1988
    • Pensivy, M.1
  • 278
    • 84984879298 scopus 로고
    • Démonstration du théorème de Taylor
    • Poisson, S.D. [1805] Démonstration du théorème de Taylor, Correspondance sur l’Ecole Polytechnique, 1 (1804–1808), pp. 52–55.
    • (1805) Correspondance Sur l’Ecole Polytechnique , vol.1 , Issue.1804-1808 , pp. 52-55
    • Poisson, S.D.1
  • 279
    • 84933824593 scopus 로고
    • Note sur le développement des puissances des sinus et des cosinus en séries es sinus ou des cosinus d’arcs multiples
    • — [1811] Note sur le développement des puissances des sinus et des cosinus en séries es sinus ou des cosinus d’arcs multiples, Correspondance sur l’Ecole Polytechnique, 2 (1809–1813), pp. 212–217.
    • (1811) Correspondance Sur l’Ecole Polytechnique , vol.2 , Issue.1809-1813 , pp. 212-217
  • 280
    • 0346976591 scopus 로고    scopus 로고
    • The preliminary mathematical lemmas of Newton’s Principia
    • Pourciau, B. [1998] The preliminary mathematical lemmas of Newton’s Principia, Archive for History of Exact Sciences, 52 (1998), pp. 279–295.
    • (1998) Archive for History of Exact Sciences , vol.52 , Issue.1998 , pp. 279-295
    • Pourciau, B.1
  • 281
    • 0346507516 scopus 로고    scopus 로고
    • — [2001] Newton and the notion of limit, Historia Mathematica 28 (2001), pp. 18–30.
    • (2001) Historia Mathematica , vol.28 , Issue.2001 , pp. 18-30
    • Pourciau, B.1
  • 284
    • 53649083252 scopus 로고
    • [1984] Some definitions of the concept of function from Joh. Bernoulli to N. Bourbaki
    • Rüthing, D. [1984] Some definitions of the concept of function from Joh. Bernoulli to N. Bourbaki, Mathematical Intellingencer, 6(4) (1984), pp. 72–77.
    • (1984) Mathematical Intellingencer , vol.6 , Issue.4 , pp. 72-77
    • Rüthing, D.1
  • 285
    • 1342300412 scopus 로고
    • Salanskis, J.-M. and Sinaceur, H. (Eds.), Paris: Springer–Verlag France
    • Salanskis, J.-M. and Sinaceur, H. (Eds.) [1992] Le Labyrinthe du Continu, Paris: Springer–Verlag France, 1992.
    • (1992) [1992] Le Labyrinthe Du Continu
  • 287
    • 0002787151 scopus 로고
    • [1814–15a] Essai sur un nouveau mode d’exposition des principes du calcul différentiel
    • Servois, F.J. [1814–15a] Essai sur un nouveau mode d’exposition des principes du calcul différentiel, Annales des Mathématiques Pures et Appliquées, 5 (1814), pp. 93–140.
    • (1814) Annales Des Mathématiques Pures Et Appliquées , vol.5 , pp. 93-140
    • Servois, F.J.1
  • 288
    • 0002787151 scopus 로고
    • [1814–15b] Réflexion sur les divers systèmes d’exposition des principes du calcul différentiel
    • — [1814–15b] Réflexion sur les divers systèmes d’exposition des principes du calcul différentiel, Annales des mathématiques pures et appliquées, 5 (1814), pp. 141–170.
    • (1814) Annales Des mathématiques Pures Et appliquées , vol.5 , pp. 141-170
  • 290
    • 85145670452 scopus 로고
    • L’Arithmétique de Simon Stevin de Bruges, Leyden
    • Stevin, S. [1585] L’Arithmétique de Simon Stevin de Bruges, Leyden: 1585.
    • (1585) , pp. 1585
    • Stevin, S.1
  • 292
    • 0038340303 scopus 로고    scopus 로고
    • Methodus differentialis Newtoniana illustrata
    • — [1719] Methodus differentialis Newtoniana illustrata, Philosophical Transactions of the Royal Society, 30 (1719), pp. 1050–1070.
    • (2001) Philosophical Transactions of the Royal Society , vol.30 , Issue.1719 , pp. 1050-1070
  • 296
    • 28244449130 scopus 로고
    • Firenze: Masse et de Laudis
    • Torricelli, E. [1644] Opera geometrica, Firenze: Masse et de Laudis, 1644.
    • (1644) Opera Geometrica , pp. 1644
    • Torricelli, E.1
  • 297
    • 85145725876 scopus 로고
    • London
    • Turnbull, H.W. [GT] James Gregory Tercentenary Memorial Volume, London, 1939.
    • (1939)
    • Turnbull, H.W.1
  • 299
    • 33846306312 scopus 로고    scopus 로고
    • Précautions à prendre dans l’usage des suites ou series infinies résultantes, tant da la division infinie des fractions, que du développement à l’infini des puissance d’exposants négatifs entiers, Mémoires de l’Academie Royal des Sciences
    • Varignon, P. [1715] Précautions à prendre dans l’usage des suites ou series infinies résultantes, tant da la division infinie des fractions, que du développement à l’infini des puissance d’exposants négatifs entiers, Mémoires de l’Academie Royal des Sciences. Mémoires Mathématiques et Physique (1715), pp. 203–225.
    • (2001) Mémoires Mathématiques Et Physique , Issue.1715 , pp. 203-225
    • Varignon, P.1
  • 300
    • 85049320746 scopus 로고    scopus 로고
    • Viète, F. [1591] In artem analyticem isagoge, Turonis: J. Mettayers, 1691. English translation in Klein [1968, 315–353].
    • Viète, F. [1591] In artem analyticem isagoge, Turonis: J. Mettayers, 1691. English translation in Klein [1968, 315–353].
    • (2018) Applied Energy
  • 303
    • 85145713191 scopus 로고
    • Mathesis universalis, sive Arithmeticum Opus Integrum, in Wallis [1693–1699, vol
    • — [1657]. Mathesis universalis, sive Arithmeticum Opus Integrum, in Wallis [1693–1699, vol. 1].
    • (1657) 1]
  • 304
    • 85049320746 scopus 로고    scopus 로고
    • — [1668] Logarithmotechnia Nicolae Mercatoris. Concerning which we shall here deliver the account of the Judicious Dr. I. Wallis given in a Letter to the Viscount Brouncker, Philosophical Transactions, 1668 (3), pp. 753– 768.
    • — [1668] Logarithmotechnia Nicolae Mercatoris. Concerning which we shall here deliver the account of the Judicious Dr. I. Wallis given in a Letter to the Viscount Brouncker, Philosophical Transactions, 1668 (3), pp. 753– 768.
    • (2018) Applied Energy
  • 306
    • 85049320746 scopus 로고    scopus 로고
    • — [1693–1699] Opera Mathematica, Oxford: Lichfield, 1693–1699.
    • — [1693–1699] Opera Mathematica, Oxford: Lichfield, 1693–1699.
    • (2018) Applied Energy
  • 308
    • 85049320746 scopus 로고    scopus 로고
    • Wilson, C. [1980] Perturbations and solar tables from Lacaille to De-lambre: The rapprochement of observation and theory, Part II, Archive for History of Exact Sciences, 22 (1980), pp. 53–188 and 189–304.
    • Wilson, C. [1980] Perturbations and solar tables from Lacaille to De-lambre: The rapprochement of observation and theory, Part II, Archive for History of Exact Sciences, 22 (1980), pp. 53–188 and 189–304.
    • (2018) Applied Energy
  • 309
    • 0002805793 scopus 로고
    • The great inequality of Jupiter and Saturn: From Kepler to Laplace
    • — [1985] The great inequality of Jupiter and Saturn: from Kepler to Laplace, Archive for the History of Exact Sciences, 33 (1985), pp. 215–290.
    • (1985) Archive for the History of Exact Sciences , vol.33 , Issue.1985 , pp. 215-290
  • 310
    • 55949124315 scopus 로고
    • Der Mathematische Briefweschel zwischen Johann I Bernoulli und Abraham de Moivre
    • Wollenshläger, K. [1933] Der Mathematische Briefweschel zwischen Johann I Bernoulli und Abraham de Moivre, Verhandlungen der Natur-forschenden Gesellschaft in Basel, 43 (1933), pp. 151–317.
    • (1933) Verhandlungen Der Natur-Forschenden Gesellschaft in Basel , vol.43 , Issue.1933 , pp. 151-317
    • Wollenshläger, K.1
  • 311
    • 0002956058 scopus 로고
    • The concept of function up to the middle of the 19th century
    • Youschkevitch, A.P. [1976] The concept of function up to the middle of the 19th century, Archive for History of Exact Sciences, 16 (1976), pp. 37–84.
    • (1976) Archive for History of Exact Sciences , vol.16 , Issue.1976 , pp. 37-84
    • Youschkevitch, A.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.