Cours d'analyse de l'Ecole Royale Polytechnique

Augustin-Louis Cauchy

Cours d'analyse de l'Ecole Royale Polytechnique
Format
Paperback
Publisher
Cambridge University Press
Country
United Kingdom
Published
20 July 2009
Pages
604
ISBN
9781108002080

Cours d'analyse de l'Ecole Royale Polytechnique

Augustin-Louis Cauchy

In 1821, the French mathematician Augustin-Louis Cauchy published Cours d'Analyse de L'Ecole 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.

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