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Cauchy¿s Cours d¿analyse

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Cover of 'Cauchy¿s Cours d¿analyse'

Table of Contents

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    Book Overview
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    Chapter 1 On real functions.
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    Chapter 2 On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases.
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    Chapter 3 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.
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    Chapter 4 Determination of integer functions, when a certain number of particular values are known. Applications.
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    Chapter 5 Determination of continuous functions of a single variable that satisfy certain conditions.
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    Chapter 6 On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series.
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    Chapter 7 On imaginary expressions and their moduli.
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    Chapter 8 On imaginary functions and variables.
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    Chapter 9 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.
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    Chapter 10 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.
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    Chapter 11 Decomposition of rational fractions.
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    Chapter 12 On recurrent series.
Attention for Chapter 6: On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series.
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Chapter title
On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series.
Chapter number 6
Book title
Cauchy’s Cours d’analyse
Published by
Springer New York, February 2016
DOI 10.1007/978-1-4419-0549-9_6
Book ISBNs
978-1-4419-0548-2, 978-1-4419-0549-9
Authors

Prof. Robert E. Bradley, Prof. C. Edward Sandifer, Robert E. Bradley, C. Edward Sandifer

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