Cauchy’s Cours d’analyse

An Annotated Translation

Authors:

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

    Book Chapter

    Pages 17-20

    On real functions.

  3. No Access

    Book Chapter

    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

    Book Chapter

    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

    Book Chapter

    Pages 59-70

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

  6. No Access

    Book Chapter

    Pages 71-83

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

  7. No Access

    Book Chapter

    Pages 85-115

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

  8. No Access

    Book Chapter

    Pages 117-158

    On imaginary expressions and their moduli.

  9. No Access

    Book Chapter

    Pages 159-179

    On imaginary functions and variables.

  10. No Access

    Book Chapter

    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

    Book Chapter

    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

    Book Chapter

    Pages 241-256

    Decomposition of rational fractions.

  13. No Access

    Book Chapter

    Pages 257-265

    On recurrent series.

  14. Back Matter

    Pages 1-139