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Cauchy's Cours d'analyse : an annotated translation

Author: Augustin Louis Cauchy, Baron; Robert E Bradley; Charles Edward Sandifer
Publisher: New York ; London : Springer, ©2009.
Series: Sources and studies in the history of mathematics and physical sciences.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Presents a workable definition of limits and a means to make them the basis of a rigorous theory of calculus.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Cauchy, Augustin Louis, Baron, 1789-1857.
Cauchy's Cours d'analyse.
New York ; London : Springer, ©2009
(DLC) 2009932254
(OCoLC)416292053
Named Person: Augustin Louis Cauchy, Baron; Augustin Louis Cauchy, (Baron )
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Augustin Louis Cauchy, Baron; Robert E Bradley; Charles Edward Sandifer
ISBN: 9781441905499 1441905499
OCLC Number: 535009534
Language Note: Translated from the French.
Description: 1 online resource (xx, 411 pages) : illustrations.
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.
Series Title: Sources and studies in the history of mathematics and physical sciences.
Responsibility: [translated by] Robert E. Bradley, C. Edward Sandifer.

Abstract:

In 1821, Augustin-Louis Cauchy published a textbook to accompany his course in analysis at the Ecole Polytechnique. It is still regarded as one of the most influential mathematics book ever written,  Read more...

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From the reviews: "The book under review comes equipped with a well-written Translator's Preface, full of interesting and relevant historical data, placing Cauchy's work in the present connection in Read more...

 
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