Cauchy’s Cours d’analyse

An Annotated Translation


ISBN: 978-1-4419-0548-2 (Print) 978-1-4419-0549-9 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxxii

  2. No Access


    Pages 17-20

    On real functions.

  3. No Access


    Pages 21-48

    On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases.

  4. No Access


    Pages 49-57

    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.

  5. No Access


    Pages 59-70

    Determination of integer functions, when a certain number of particular values are known. Applications.

  6. No Access


    Pages 71-83

    Determination of continuous functions of a single variable that satisfy certain conditions.

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    Pages 85-115

    On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series.

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    Pages 117-158

    On imaginary expressions and their moduli.

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    Pages 159-179

    On imaginary functions and variables.

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    Pages 181-215

    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.

  11. No Access


    Pages 217-240

    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.

  12. No Access


    Pages 241-256

    Decomposition of rational fractions.

  13. No Access


    Pages 257-265

    On recurrent series.

  14. Back Matter

    Pages 1-139