Cours D'Analyse de L'Ecole Royale Polytechnique

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.