Camille jordan biography

He went on over the next decade to produce further results of fundamental importance. He studied primitive permutation groups and proved a finiteness theorem. His finiteness theorem showed that for a given c c c there are only finitely many primitive groups with class c c c other than the symmetric and alternating groups. Although there are infinite families of such finite subgroups, Jordan found that they were of a very specific group theoretic structure which he was able to describe.

Jordan is best remembered today among analysts and topologists for his proof that a simply closed curve divides a plane into exactly two regions, now called the Jordan curve theorem. It was only his increased understanding of mathematical rigour which made him realise that a proof of such a result was necessary. He also originated the concept of functions of bounded variation and is known especially for his definition of the length of a curve.

The second edition appeared in while the Jordan curve theorem appeared in the third edition of the text which appeared between and In some respects this is a little strange since it is a rigorous analysis text built on top of the attempts to put the topic on a firm foundation begun by Cauchy and given considerable impetus by Weierstrass. Gispert-Chambaz in [ 7 ] contrasts the way that topological concepts are treated by Jordan in the first and second editions of the book.

In the first edition most of the topological concepts are dealt with in a supplement to Volume 3. In this respect one can see the second edition as setting a tone for analysis textbooks which continues today. Among Jordan's many contributions to analysis we should also mention his generalisation of the criteria for the convergence of a Fourier series.

It was usually known as the Journal de Liouville since Liouville had founded the journal in Liouville died in and in Jordan became camille jordan biography of the Journal, a role he kept for over 35 years until his death. In Jordan retired from his positions. The final years of his life were saddened, however, because of World War I which began in Between and three of his six sons were killed in the war.

Finally we should note some rather confusing facts. The Jordan of Gauss -Jordan is Wilhelm Jordan to who applied the method to finding squared errors to work on surveying. Jordan algebras are called after the German physicist and mathematician Pascual Jordan to References show. Biography in Encyclopaedia Britannica. Back to Profile. Photos Works.

Main Photo. Camille Jordan. School period Add photo. Career Add photo. Achievements Add photo. Membership Add photo. Awards Add photo. Other Photos Add photo. Connections Add photo.

Camille jordan biography

Cousin: Claude Jordan. Camille Jordan was a French mathematician. He also served as a professor at the Ecole Polytechnique and College de France. More photos. About this article Camille Jordan All Sources. Updated Aug 08 About encyclopedia. Related Topics Jordan. Cameroons former German colony. Cameroon, The Catholic Church in. Cameroon, Mount.

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