Cours d'analyse de l'ecole polytechnique 3 Volume Set
Seiten
2014
Cambridge University Press
978-1-108-06472-9 (ISBN)
Cambridge University Press
978-1-108-06472-9 (ISBN)
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Camille Jordan (1838–1922) became known for his work on matrices, Galois theory and group theory. However, his most profound effect on how we see mathematics came through his Cours d'analyse. Reissued here is the three-volume first edition (1882–7), covering differential calculus, integration, and the calculus of variations.
One of the great algebraists of the nineteenth century, Marie Ennemond Camille Jordan (1838–1922) became known for his work on matrices, Galois theory and group theory. However, his most profound effect on how we see mathematics came through his Cours d'analyse, which appeared in three editions. Reissued here is the first edition, which was published in three volumes between 1882 and 1887. While highly influential in its time, it now appears to us a transitional work between the partially rigorous 'epsilon delta' calculus of Cauchy and his successors, and the new 'real number' analysis of Weierstrass and Cantor. The first two volumes follow the old tradition while the third volume incorporates a substantial amount of the new analysis. Ten years later, the even more influential second edition followed the new point of view from its start. Volume 1 (1882) covers differential calculus, Volume 2 (1883) the theory of integrals, and Volume 3 (1887) differential equations and the calculus of variations.
One of the great algebraists of the nineteenth century, Marie Ennemond Camille Jordan (1838–1922) became known for his work on matrices, Galois theory and group theory. However, his most profound effect on how we see mathematics came through his Cours d'analyse, which appeared in three editions. Reissued here is the first edition, which was published in three volumes between 1882 and 1887. While highly influential in its time, it now appears to us a transitional work between the partially rigorous 'epsilon delta' calculus of Cauchy and his successors, and the new 'real number' analysis of Weierstrass and Cantor. The first two volumes follow the old tradition while the third volume incorporates a substantial amount of the new analysis. Ten years later, the even more influential second edition followed the new point of view from its start. Volume 1 (1882) covers differential calculus, Volume 2 (1883) the theory of integrals, and Volume 3 (1887) differential equations and the calculus of variations.
Volume 1: Préface; Introduction; 1. Dérivées et différentielles; 2. Formation des équations différentielles; 3. Développements en série; 4. Maxima et minima; 5. Applications géométriques de la série de Taylor; 6. Théorie des courbes planes algébriques. Volume 2: Préface; 1. Intégrales définies et indéfinies; 2. Intégrales définies; 3. Intégrales multiples; 4. Des fonctions représentées par des intégrales définies; 5. Développements en série; 6. Variables imaginaires; 7. Fonctions elliptiques. Volume 3: Préface; 1. Equations différentielles ordinaires; 2. Equations linéaires; 3. Equations aux dérivées; 4. Calcul des variations; Note sur quelques points de la théorie des fonctions.
| Reihe/Serie | Cambridge Library Collection - Mathematics |
|---|---|
| Verlagsort | Cambridge |
| Sprache | französisch |
| Maße | 137 x 215 mm |
| Gewicht | 1870 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik |
| ISBN-10 | 1-108-06472-8 / 1108064728 |
| ISBN-13 | 978-1-108-06472-9 / 9781108064729 |
| Zustand | Neuware |
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