Synopses & Reviews
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'École Royale Polytechnique (1821), Résumé des leçons sur le calcul infinitésimal (1823) and Leçons sur les applications du calcul infinitésimal ... la géométrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Académie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
Synopsis
The collected papers of the pre-eminent French mathematician of the nineteenth century.
Synopsis
Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He was a pioneer in real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958.
Table of Contents
1. Sur l'analyse des sections angulaires; 2. Sur un nouveau genre de calcul; 3. Sur les formules de Taylor et de Maclaurin; 4. Sur la résultante; 5. Application du calcul; 6. Sur une formule; 7. Sur un nouveau genre d'intégrales; 8. Sur les moments linéaires; 9. De l'influence; 10. Sur diverses relations; 11. Démonstration d'un théorème; 12. Sur les moments linéaires; 13. Usage des moments linéaires; 14. Sur quelques formules; 15. Sur un théorème; 16. Sur les divers ordres de quantités infiniment petits; 17. Sur les conditions d'équivalence; 18. Usage des moments linéaires; 19. Sur un théorème d'analyse; 20. Sur quelques transformations; 21. Sur les divers ordres de contact; 22. Application du calcul; 23. Sur les limites; 24. Sur la résolution; 25. Application du calcul; 26. Démonstration du théorème de Fermat; 27. Sur la nature des racines; 28. Usage du calcul des résidus.