History of Mathematics: Chronological Divisions II

Eighteenth Century Mathematics:  The towering figure of Leonhard Euler, one of the greatest and most prolific mathematicians of all time, dominates this century.  This period's central themes include the development of infinitesimal analysis and its notations, power series, the introduction of the concept of function and the early development of number theory.

Nineteenth Century Mathematics:  Among many other developments, this century saw the creation of non-Euclidean geometries, of projective and Riemannian geometries, and set theory and mathematical logic. It also witnessed the rapid growth of number theory, group theory and topology (analysis situs).

Twentieth Century Mathematics:  The extreme level of abstraction and generality that characterizes contemporary mathematics renders much of the enormous wealth of this period inaccessible to historians who are not mathematicians themselves.  Among the highlights of the past century are the following ones, with implications that are beginning to be felt in physics, cosmology and philosophy:  Category theory, topos theory, algebraic geometry and cohomology theories.

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