Baron Augustin-Louis Cauchy (21 August 1789 – 23 May 1857) is a French mathematician who is an early pioneer of analysis.
He starts the project of formulating and proving the theorems of infinitesimal calculus in a rigorous manner, rejecting the heuristic principle of the generality of algebra exploited by earlier authors.
He defines continuity in terms of infinitesimals and gives several important theorems in complex analysis and initiates the study of permutation groups in abstract algebra.
A profound mathematician, Cauchy exercises a great influence over his contemporaries and successors.
His writings cover the entire range of mathematics and mathematical physics.
Cauchy is a prolific writer; he writes approximately eight hundred research articles and five complete textbooks.
He is a devout Roman Catholic, strict Bourbon royalist, and a close associate of the Jesuit order.