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E-book
Author Cauchy, Augustin Louis, Baron, 1789-1857.

Title Cauchy's Cours d'analyse : an annotated translation / [translated by] Robert E. Bradley, C. Edward Sandifer
Published New York ; London : Springer, ©2009

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Description 1 online resource (xx, 411 pages) : illustrations
Series Sources and studies in the history of mathematics and the physical sciences
Sources and studies in the history of mathematics and physical sciences.
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
Summary Presents a workable definition of limits and a means to make them the basis of a rigorous theory of calculus
Bibliography Includes bibliographical references and index
Notes Translated from the French
Print version record
Subject Cauchy, Augustin Louis, Baron, 1789-1857. Cours d'analyse
SUBJECT Cauchy, Augustin Louis, (Baron), 1789-1857. cct
Subject Mathematical analysis.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Mathematical analysis.
Mathematical analysis
Form Electronic book
Author Bradley, Robert E
Sandifer, Charles Edward, 1951-
ISBN 9781441905499
1441905499