Cauchy’s Calcul Infinitésimal by Dennis M. Cates

Author:Dennis M. Cates
Language: eng
Format: epub
ISBN: 9783030110369
Publisher: Springer International Publishing

to construct his now famous Fourier series,

An integral theory independent of differential calculus was clearly needed. Cauchy is one of the first mathematicians to take on this challenge and seriously consider the question of the existence of the definite integral. Here, he has demonstrated the definite integral does exist without ever invoking the concept of the derivative. Cauchy has shown the definite integral is important on its own, and his proof in this lecture is one of the highlights of his 1823 text.

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