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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