| Description |
xx, 411 p. : ill. ; 25 cm. |
| Series |
Sources and studies in the history of mathematics and the physical sciences |
|
Sources and studies in the history of mathematics and physical sciences.
|
| Bibliography |
Includes bibliographical references and index. |
| 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. |
| Language |
Translated from the French. |
| Subject |
Cauchy, Augustin Louis, Baron, 1789-1857. Cours d'analyse.
|
|
Mathematical analysis.
|
| Added Author |
Bradley, Robert E.
|
|
Sandifer, Charles Edward, 1951-
|
| ISBN |
9781441905482 (hbk.) |
|
1441905480 (hbk.) |
|
