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Augustin Louis Cauchy - the prolific
October 22, 2025
Number
91
ISBN
9782848842622
Price
€24.00
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About this book

Contents
File 1: At the heart of his century
In this city of Paris, which could claim the status of intellectual capital of Europe, Cauchy was the scientific pivot of his generation. However, his career was by no means a long tranquil river.
Topics covered
Chronology of a life Madame Cauchy goes to Cherbourg A contrasting personality From Arcueil to Sceaux, in Cauchy's footsteps The rise of the specialized press The committed man Complex affinities The battle over infinity How Cauchy saw the world
File 2: Abundant ideas
How to cover all the ground of one of the most prolific mathematicians in History? From polyhedra to complex numbers, Cauchy wrote on all subjects of mathematics, leaving an indelible mark on them.
Topics covered
First discoveries 175 years after Fermat A slow but decisive rally to imaginary quantities A number to find others Questions of roots Substituting for counting
File 3: The man of limits
One of Cauchy's main merits is having modernized analysis by making explicit the notion of limit. This necessary clarification gave a capital impulse to further developments.
Topics covered
Sequential thinking The battle for the expected value At the foundations of modern analysis Cauchy's functional equation A revolutionary but contested analysis course Condensing series At the origins of complex analysis
File 4: An omnipresent legacy
His influence was so deep that Baron Cauchy is one of the few mathematicians of whom one can say that, in all fields, there is a before and an after him
Topics covered
Waiting for Schwarz The long adventure of the Cauchy-Lipschitz theorem From intuition to rigor: the case of functionss Flattening to draw a cerclee Fluid motion Farey's stroke of luck A distribution unlike the others Blowing polyhedra The beginnings of groups