Cauchy's Cours d'analyse
Subtitle: an annotated translation
By: Robert E. Bradley, C. Edward Sandifer
Contributors: Bradley, Robert E.; Sandifer, Charles Edward, 1951-
Series: Sources and studies in the history of mathematics and physical sciences
Publisher: Springer
Published: 2009
Place of publication: Dordrecht [the Netherlands]; London; New York
Language: eng
Number of pages: 411
ISBN-13: 9781441905482
Subjects: Mathematical analysis
Other titles: Cours d'analyse
Work titles: Cours d'analyse
Notes: Translated from the French.

Includes bibliographical references (p. 403-405) and index.

Translated from the French.
Table of contents: title: On real functions; title: On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases; title: 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; title: Determination of integer functions, when a certain number of particular values are known. Applications; title: Determination of continuous functions of a single variable that satisfy certain conditions; title: On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series; title: On imaginary expressions and their moduli; title: On imaginary functions and variables; title: 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; title: 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; title: Decomposition of rational fractions; title: On recurrent series.