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  3. Cours d'analyse de l'École Royale Polytechnique
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2010
      July 2009
      ISBN:
      9780511693328
      9781108002080
      DOI:
      https://doi.org/10.1017/CBO9780511693328
      Dimensions:
      Weight & Pages:
      Dimensions:
      (216 x 140 mm)
      Weight & Pages:
      0.76kg, 604 Pages
      • Subjects:
      Mathematics (general), Mathematics, History of Mathematical Texts
      Series:
      Cambridge Library Collection - Mathematics
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, History of Mathematical Texts
    Series:
    Cambridge Library Collection - Mathematics
    Information

    Book description

    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.

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