An edition of Cauchy's Cours d'analyse
(2009)
Cauchy's Cours d'analyse
an annotated translation
by Augustin Louis Cauchy
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Cauchy's Cours d'analyse: an annotated translation
2009, Springer
in English
1441905480 9781441905482
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Table of Contents
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.
Edition Notes
Translated from the French.
Includes bibliographical references (p. 403-405) and index.
Translated from the French.
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| January 1, 2023 | Edited by MARC Bot | import existing book |
| August 1, 2020 | Edited by ImportBot | import existing book |
| September 20, 2019 | Edited by Camillo Pellizzari | merge authors |
| June 28, 2019 | Edited by MARC Bot | import existing book |
| October 20, 2011 | Created by LC Bot | import new book |