Cauchys Cours Danalyse
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Author | : Robert E. Bradley |
Publisher | : Springer Science & Business Media |
Total Pages | : 416 |
Release | : 2010-01-14 |
Genre | : Mathematics |
ISBN | : 1441905499 |
In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index.
Author | : Augustin Louis Cauchy |
Publisher | : |
Total Pages | : 604 |
Release | : 1821 |
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Author | : Augustin Louis Cauchy |
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Total Pages | : 576 |
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Genre | : Functions |
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Author | : Augustin-Louis Cauchy |
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Total Pages | : 576 |
Release | : 1821 |
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Author | : Augustin-Louis Cauchy |
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Total Pages | : 0 |
Release | : 2021-02-04 |
Genre | : Mathematics |
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In 1821, the French mathematician Augustin-Louis Cauchy published Cours d'Analyse de L'École Royale Polytechnique, a textbook designed to teach his students the basic theorems of calculus in as rigorous a way as possible. Cauchy was a pioneer of mathematical analysis, a branch of mathematics concerned with the idea of a limit, whether of a sequence or of a function. This book consists of 12 chapters that discuss real functions, infinitely small and large quantities, substitution groups, symmetrical functions, unknown variables, imaginary functions, and rational fractions in a recurrent series. It also provides formulas for solving various problems, such as converting the sine and cosine of a multiple polynomial arc and the Lagrange interpolation. Cauchy built on the work of Leibniz and Newton and is generally regarded as one of the greatest mathematicians in history. This is a reissue of one of his most important contributions.
Author | : Augustin Louis Cauchy |
Publisher | : |
Total Pages | : 606 |
Release | : 1821 |
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Author | : Judith V. Grabiner |
Publisher | : Courier Corporation |
Total Pages | : 274 |
Release | : 2012-05-11 |
Genre | : Mathematics |
ISBN | : 0486143740 |
This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
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Total Pages | : |
Release | : 1821 |
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Author | : Robert E. Bradley |
Publisher | : |
Total Pages | : 432 |
Release | : 2010-04-17 |
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ISBN | : 9781441905505 |
Author | : Cauchy |
Publisher | : |
Total Pages | : 604 |
Release | : 1821 |
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