In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook,
the Cours d analyse, to accompany his course in analysis at the
Ecole Polytechnique. It is one of the most influential mathematics
books ever written. Not only did Cauchy provide a workable
definition of limits and a means to make them the basis of a
rigorous theory of calculus, but he also revitalized the idea that
all mathematics could be set on such rigorous foundations. Today,
the quality of a work of mathematics is judged in part on the
quality of its rigor, and this standard is largely due to the
transformation brought about by Cauchy and the Cours d analyse.
For this translation, the authors have also added commentary,
notes, references, and an index.
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