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|Additional Physical Format:||Print version:
Cauchy, Augustin Louis, Baron, 1789-1857.
Cauchy's Cours d'analyse.
New York ; London : Springer, ©2009
|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
|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.|
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