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Cauchy, Augustin Louis, Baron, 1789-1857
Cauchy's Cours d'analyse : an annotated translation / [translated by] Robert E. Bradley, C. Edward Sandifer
New York ; London : Springer, c2009
book jacket
Location Call Number Status
 4th Floor  QA331 .C34 2009    AVAILABLE
Subject Cauchy, Augustin Louis, Baron, 1789-1857. 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 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
Series Sources and studies in the history of mathematics and physical sciences
Alternate Author Bradley, Robert E
Sandifer, Charles Edward, 1951-

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