Subject 
Cauchy, Augustin Louis, Baron, 17891857. Cours d'analyse

Subject(s) 
Mathematical analysis

Physical Description 
xx, 411 p. : ill. ; 25 cm 
Note 
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 lefthand 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 
Series 
Sources and studies in the history of mathematics and physical sciences

Alternate Author 
Bradley, Robert E


Sandifer, Charles Edward, 1951

