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Mathematical Physics

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Henri Poincaré

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Abstract

In this chapter, we will first look at new methods developed for partial differential equations, and in the following subsections, at a number of applications and physical theories. We aim at conveying the ideas while leaving technical details to the literature cited. We will leave out dynamical systems, since they were discussed in a separate chapter.

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Notes

  1. 1.
    1. 1.

      Théorie mathématique de la lumière, vol. 1, 408 pp., Georges Carré et C. Naud, Paris, 1889.Théorie mathématique de la lumière, vol. 2, Nouvelles études sur la diffraction, Théorie de la dispersion de Helmholtz, 310 pp., Georges Carré et C. Naud, Paris, 1892, edited by J. Blondin, M. Lamotte, and D. Hurmuzescu.

    2. 2.

      Électricité et optique, vol. 1, Les théories de Maxwell et la théorie électromagnetique de la lumière, 314 pp., Georges Carré, Paris, 1890, edited. J. Blondin.Électricité et optique, vol. 2, Les théories de Helmholtz et les expériences de Hertz, XI+262 pp., Georges Carré, Paris, 1891, edited by B. Brunhes. Second edition 658 pp., Gauthier-Villars, Paris, 1901, edited by J. Blondin and E. Neculcea.

    3. 3.

      Thermodynamique, 432 pp., Georges Carré et C. Naud, Paris, 1892, edited by J. Blondin. Second edition Gauthier-Villars, Paris, 1908, edited by J. Blondin.

    4. 4.

      Leçons sur la théorie de l’elasticité, 210 pp., Georges Carré et C. Naud, Paris, 1892, edited by É. Borel and J. Drach.

    5. 5.

      Théorie des tourbillons, 212 pp., Georges Carré, Paris, 1893, edited by M. Lamotte.

    6. 6.

      Les oscillations électriques, 343 pp., Georges Carré et C. Naud, Paris, 1894, edited by C. Maurain.

    7. 7.

      Capillarité, 189 pp., Georges Carré, Paris, 1895, edited by J. Blondin.

    8. 8.

      Théorie analytique de la propagation de la chaleur, 316 pp., Georges Carré, Paris, 1895, edited by L. Rouyer and R. Baire.

    9. 9.

      Calcul des probabilités, 275 pp., Gauthier-Villars, Paris, 1896, edited by A. Quiquet.

    10. 10.

      Théorie du potentiel Newtonien, 366 pp., Gauthier-Villars, Paris, 1899, edited by E. le Roy and G. Vincent. 2d ed. Gauthier-Villars, Paris, 1912.

    11. 11.

      Cinématique et mécanismes, potentiel et mécanique des fluides, 385 pp., Georges Carré et C. Naud, Paris, 1899, edited by A. Guillet.

    12. 12.

      Figures d’équilibre d’une masse fluide, 211 pp. C. Naud, Paris, 1902, edited by L. Dreyfus.

    13. 13.

      Leçons de mécanique céleste, Gauthier-Villars, Paris.Vol. 1, Théorie générale des perturbations planetaires, 368 pp. 1905.Vol. 2, part 1: Développement de la fonction perturbatrice, 168 pp. 1907Vol. 2, part 2: Théorie de la lune, 138 pp. 1909.Vol. 3, Théorie des marées, 469 pp. 1910, third volume edited by E. Fichot.

    14. 14.

      Leçons sur les hypothèses cosmogoniques, 294 pp., A. Hermann et fils, Paris, 1911, edited by H. Vergne. Second edition: A. Hermann et fils, Paris, 1913 with “Notice sur Henri Poincaré” by Ernest Lebon (43 pp.).

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      Théorie mathématique de la lumière, vol. 1, 408 pp., Georges Carré et C. Naud, Paris, 1889.Théorie mathématique de la lumière, vol. 2, Nouvelles études sur la diffraction, Théorie de la dispersion de Helmholtz, 310 pp., Georges Carré et C. Naud, Paris, 1892, edited by J. Blondin, M. Lamotte, and D. Hurmuzescu.

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      Les oscillations électriques, 343 pp., Georges Carré et C. Naud, Paris, 1894, edited by C. Maurain.

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  1. Mathematisch Instituut, University of Utrecht, Budapestlaan 6, Utrecht, Netherlands

    Ferdinand Verhulst

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Verhulst, F. (2012). Mathematical Physics. In: Henri Poincaré. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2407-9_11

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