Home > Camille Jordan

He is remembered now by name in a number of foundational results:

• the Jordan curve theorem, a topological result required in complex analysis;
• the Jordan normal form, and the Gauss-Jordan elimination method, in linear algebra;
• in mathematical analysisAnalysis is that branch of mathematics which deals with the real numbers and complex numbers and their functions. It has its beginnings in the rigorous formulation of calculus and studies concepts such as continuity, integration and differentiability in g, Jordan content is an area measure that predates measure theory;
• in group theory the Jordan-Hölder theorem on composition seriesIn mathematics, a composition series of a group G is a chain of subgroups of G satisfying : where stands for normal subgroup, such that the quotient group of each link in the chain is a simple group. For a finite group G such composition series always exi is a basic result.

In fact the work of Jordan did much to bring Galois theoryIn mathematics, Galois theory is that branch of abstract algebra which studies the symmetries of the roots of polynomials. In other words, the Galois theory is the study of solutions to polynomials and how the different solutions are related to each other into the mainstream. He also investigated the Mathieu groupIn mathematics, the Mathieu groups are five finite simple groups discovered by the French mathematician Emile Leonard Mathieu. They are usually thought of as permutation groups on n points (where n can take the values 11, 12, 22, 23 or 24) and are named Ms, the first examples of sporadic groups. His Traité des substitutions, on permutation groupIn mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself); the relationship is oftens, was published in 1870.