Œuvres complètes d'Augustin Cauchy (ser. 2, vol. 11)
| Authors | Cauchy, Augustin-Louis |
| Publisher | Gauthier-Villars |
| Published | 31 dic 1881 |
| Date | 15 mar 2014 |
| Languages | fra |
| Formats | DJVU |
Description
Ince §3.4:
The original [Cauchy-Lipschitz theorem] method was developed by Cauchy in his lectures at the École polytechnique between the years 1820 and 1830; it is summarised in a memoir,Sur l’intégration des équations différentielles , lithographed Prague, 1835, reprinted Exercises d’Analyse , 1840, p. 327 [Œuvres completès , (2) 11, p. 399 [DjVu pp. 411ff.]]. In a fuller form, it was preserved by Cauchy’s pupil, l’abbé Moigno, Leçons de calcul , 2 (1844), pp. 385, 513. The essence of the method, however, goes back to Euler, Inst. Calc. Int. 1 (1768), p. 493. The improvement due to Lipschitz was given in Bull. Sc. Math. 10 (1876), p. 149.