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Arbogast was interested in the history of mathematics and classified Mersenne's papers and collected manuscript copies of memoirs and letters of Fermat, Descartes, Johann Bernoulli, Varignon, de L'Hôpital and others. This is an extremely important collection, part of which is now in Paris and part in Florence.
His contributions to mathematics show him as a philosophical thinker somewhat ahead of his time.
Arbogast introduced discontinuous functions, investigated the limitations of algebraic methods, was careful in his use of infinite series and conceived the calculus as operational symbols.
References (2 books/articles)