Forgotten fractals

Mathematical Intelligencer

Volumn 18, Issue 3, 1996, Pages 28-31

  Hannabuss, Keith ^a  

^a BALLIOL COLLEGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030305229     PISSN: 03436993     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03024307     Document Type: Article

References (24)

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3. 3. G. Cantor, "Grundlagen einer allgemeinen Mannigfaltigkeitslehre," Math. Annalen 21 (1883), 545-591.
4. 4. J-L. Chambert, "Un demi-siècle des fractales 1870-1890," Hist. Math. 17 (1990), 339-65.
5. 5. P. du Bois-Reymond, "Versuch einer Classification der willkürlichen Functionen reeller Argumenten in den kleinsten Intervallen," J. f. reine u. angew. Math. 79 (1875), 21-37.
6. 6. F.G. Frobenius, "Theorie der linearen Formen mit ganzen Coefficienten," J. f. reine u. angew. Math. 86 (1879), 146-208.
7. 7. F.G. Frobenius & L. Stickelberger, "Über Gruppen von vertauschbaren Elementen," J. f. reine u. angew. Math. 86 (1879), 217-262.
8. 8. K.C. Hannabuss, "Henry Smith" in Oxford Figures, ed. J. Fauvel, R. Flood, and R.J. Wilson, Oxford, to appear.
9. 9. T. Hawkins, Lebesgue's theory of integration; its origins and development, Chelsea, 1970.
10. 10. M. Jasek, "Über den wissenschaftlichen Nachlass Bernhard Bolzanos," Jahresbericht der deutschen Mathematiker-Vereinigung 31 (1922), 109-110.
11. 11. H. v. Koch, "Sur une courbe continue sans tangente, obtenue par une construction géometrique élémentaire," Ark. f. Mat. Astron. o. Fys. 1 (1904), 681-704, and "Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes planes," Acta Math. 30 (1906), 145-174.
12. 11. H. v. Koch, "Sur une courbe continue sans tangente, obtenue par une construction géometrique élémentaire," Ark. f. Mat. Astron. o. Fys. 1 (1904), 681-704, and "Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes planes," Acta Math. 30 (1906), 145-174.
13. 12. C. Reid, Hilbert, Springer, 1970; p. 12.
14. 13. G.B. Riemann, "Über die Darstellbarkeit einer Function durch einer trigonometrische Reihe," Abh. der Ges. der Wiss. zu Gött. 13 (1868), 87-132 (based on Habilitationsschrift of 1854).
15. 14. W. Sierpiński, "Sur une courbe dont tout point est un point de ramification," Comptes Rendus (Paris) 160 (1915), 302.
16. 15. W. Sierpinski, "Sur une courbe cantorienne qui contient une image biunivoque et continue de toute courbe donnée," Comptes Rendus (Paris) 162 (1916), 629.
17. 16. H.J.S. Smith, "On systems of linear indeterminate equations and congruences," Phil. Trans. Roy Soc. 101 (1861), 1293-326; Collected Mathematical Papers, 12.
18. 16. H.J.S. Smith, "On systems of linear indeterminate equations and congruences," Phil. Trans. Roy Soc. 101 (1861), 1293-326; Collected Mathematical Papers, 12.
19. 17. H.J.S. Smith, "On the orders and genera of quadratic forms containing more than three indeterminates," Proc. Roy. Soc. 16 (1867), 197-208; Collected Mathematical Papers, 18.
20. 17. H.J.S. Smith, "On the orders and genera of quadratic forms containing more than three indeterminates," Proc. Roy. Soc. 16 (1867), 197-208; Collected Mathematical Papers, 18.
21. 18. H.J.S. Smith, "On the integration of discontinuous functions," Proc. London Math. Soc. 6 (1875), 140-153; Collected Mathematical Papers, 25.
22. 18. H.J.S. Smith, "On the integration of discontinuous functions," Proc. London Math. Soc. 6 (1875), 140-153; Collected Mathematical Papers, 25.
23. 19. I. Stewart, Does God play dice?, Blackwell, 1989.
24. 20. I. Stewart, "Four encounters with Sierpinski's gasket," Math. Intelligencer 17 (1995), no. 1, 52-64.