Cauchy's cours d'analyse : an annotated translation
This is an annotated and indexed translation (from French into English) of Augustin Louis Cauchy's 1821 classic textbook Cours d'analyse. This is the first English translation of a landmark work in mathematics, one of the most influential texts in the history of mathematics. It belongs in...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2009. |
| Serier: | Sources and Studies in the History of Mathematics and Physical Sciences
|
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Description d'après consultation du 09 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Cauchy's Cours d'analyse, Texte imprimé, 9781441905505 • Cauchy's cours d'analyse, an annotated translation, [translated by] Robert E. Bradley, C. Edward Sandifer, New York, Springer, 2009, 1 vol. (xx-411 p.), Sources and studies in the history of mathematics and the physical sciences, 978-1-4419-0548-2 • Cauchy's Cours d'analyse, Texte imprimé, 9781461429265 |
Indholdsfortegnelse:
- On real functions. On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases. On symmetric functions and alternating functions. The use of these functions for the solution of equations of the first degree in any number of unknowns. On homogeneous functions. Determination of integer functions, when a certain number of particular values are known. Applications. Determination of continuous functions of a single variable that satisfy certain conditions. On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series. On imaginary expressions and their moduli. On imaginary functions and variables. On convergent and divergent imaginary series. Summation of some convergent imaginary series. Notations used to represent imaginary functions that we find by evaluating the sum of such series. On real or imaginary roots of algebraic equations for which the left-hand side is a rational and integer function of one variable. The solution of equations of this kind by algebra or trigonometry. Decomposition of rational fractions. On recurrent series