Unfolding interrelations between mathematics and physics, in a presentation motivated by history: Two examples

International Journal of Mathematical Education in Science and Technology

Volumn 30, Issue 1, 1999, Pages 103-118

  Tzanakis, C ^a  

^a NONE

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[No Author keywords available]

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EID: 52549108072     PISSN: 0020739X     EISSN: 14645211     Source Type: Journal    
DOI: 10.1080/002073999288148     Document Type: Article

References (33)

1. Edwards, H. M., 1977. Fermat's Last Theorem:A Genetic Introduction to Algebraic Number Theory, New York:Springer.
2. von Neumann, J., 1932. Mathematische Grundlagen der Quantenmechanik, Berlin:Springer. Stone, M.H., 1932, Linear Transformations in Hilbert Space, (New York:American Mathematical Society)
3. Dieudonné, J., 1981. History of Functional Analysis, Amsterdam:North Holland. Introduction
4. Dieudonné, J., 1978. Abregéd' histoire des mathématiques 1700–1900, Paris:Hermann.
5. Weyl, H., 1950. The Theory of Groups and Quantum Mechanics, New York:Dover.
6. Brousseau, G., 1983. Recherche en Didactique des Mathématiques, 4 (165):193 Schubring, G., 1977, Zentralblatt für Didaktik der Mathematik 9(209), 211; Sierpinska, A., 1991, Cahiers de Didactique des Mathématiques 7(11), p. 13
7. Toeplitz, O., 1963. Calculus:A Genetic Approach, Chicago:Chicago University Press.
8. Polya, G., 1968. Patterns of Plausible Reasoning, Princeton:Princeton University Press. Rademacher, H., and Toeplitz, O., 1990, The Enjoyment of Mathematics (New York:Dover); Stillwell, J., 1989, Mathematics and its History (New York:Springer); Eves, H., 1983, Great Moments in Mathematics (Washington:The Mathematical Association of America)
9. Hairer, E., and Wanner, G., 1996. Analysis by its History, New York:Springer.
10. Tzanakis, C., and Coutsomitros, C., 1988. Eur. J. Phys., 9:276
11. Tzanakis, C., Proceedings of the 1st European Summer University on History and Epistemology in Mathematics Education. pp. 271Montpellier:IREMdeMontpellier.
12. Tzanakis, C., Proceedings of the 2nd European Summer University on History and Epistemology in Mathematics Education. volume II, pp. 96Braga Portugal:Universidade do Minho.
13. Tzanakis, C., 1995. Int. J. Math. Educ. in Sci. Technol., 26:45
14. Thomaidis, Y., 1993. Sci. and Educ., 2:69
15. Westfall, R. S., 1990. The Construction of Modern Science—Mechanisms and Mechanics, Cambridge:Cambridge University Press.
16. Dugas, R., 1988. A History of Mechanics, NewYork:Dover.
17. Boyer, C. B., 1959. The History of the Calculus and its Conceptual Development, New York:Dover.
18. Sommerfeld, A., ed. 1950. The Principle of Relativity, NewYork:Dover.
19. Poincaré, H., 1905. C. R. A. Sci. Paris, 140:1504
20. Poincaré, H., 1906. Rend. Circ. Mat. Palermo, 21:129
21. Newton, I., 1934. Principia, Berkeley:University of California Press.
22. Poincaré, H., 1938. La valeur de la Science, 176–177. 185–189. Paris:Flammarion. chapter VII
23. Apostol, T., 1967. Calculus, volume I, Waltham, MA:Xerox College Publishing.
24. Whittaker, E., 1951. A History of the Theories of Aether and Electricity, volume II, NewYork:Philosophical Library.
25. Poincaré, H., 1954. Oeuvres, volume 9, Paris:Gauthier-Villars.
26. Einstein, A., 1967. The Meaning of Relativity, sixth edn, 31–32. London:Chapman and Hall.
27. Umov, N. A., 1910. Phys. Zeit., 11:908
28. Weyl, H., 1923. Mathematische Analyse des Raum problems, Berlin:Springer.
29. Pauli, W., 1981. Theory of Relativity, 9NewYork:Dover.
30. Fock, V., 1966. The Theories of Space, Time, and Gravitation, Oxford:Pergamon. section 8 and appendix A
31. Pais, A., 1982. Subtle is the L ord… The Science and the Life of A. Einste, Oxford:Oxford University Press.
32. Schaffner, K. F., 1972. Nineteenth Century Aether Theories, Oxford:Pergamon.
33. O'Neill, B., 1966. Elementary Differential Geometry, New York:Academic Press. chapter I