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Cauchy's Cours d'analyse : an annotated translation

Author: Augustin Louis Cauchy, Baron; Robert E Bradley; Charles Edward Sandifer
Publisher: Dorcrecht ; New York : 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:

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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Genre/Form: Electronic books
Additional Physical Format: Print version:
Named Person: 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: 9781441905482 1441905480 9781441905499 1441905499
OCLC Number: 694146254
Language Note: Translated from the French.
Description: 1 online resource (xx, 411 pages).
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: [Augustin-Louis Cauchy ; translated with notes and commentary by] Robert E. Bradley, C. Edward Sandifer.

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From the book reviews:"The annotations show that the translators had not only the expert historian in mind, but also a general mathematical reader. Apparently, beginning students of mathematics are Read more...

 
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