Description |
1 online resource (xx, 411 pages) : illustrations |
Series |
Sources and studies in the history of mathematics and the physical sciences |
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Sources and studies in the history of mathematics and physical sciences.
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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 |
Summary |
Presents a workable definition of limits and a means to make them the basis of a rigorous theory of calculus |
Bibliography |
Includes bibliographical references and index |
Notes |
Translated from the French |
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Print version record |
Subject |
Cauchy, Augustin Louis, Baron, 1789-1857. Cours d'analyse
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SUBJECT |
Cauchy, Augustin Louis, (Baron), 1789-1857. cct |
Subject |
Mathematical analysis.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Mathematical analysis.
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Mathematical analysis
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Form |
Electronic book
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Author |
Bradley, Robert E
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Sandifer, Charles Edward, 1951-
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ISBN |
9781441905499 |
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1441905499 |
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