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...
| Main Authors: | , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
2009.
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| Series: | Sources and Studies in the History of Mathematics and Physical Sciences
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| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
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.
