Édouard Goursat
| Édouard Goursat | |
|---|---|
Edouard Goursat
|
|
| Born |
21 May 1858 Lanzac, Lot |
| Died | 25 November 1936 (aged 78) Paris |
| Nationality | French |
| Fields | Mathematics |
| Institutions | University of Paris |
| Alma mater | École Normale Supérieure |
| Doctoral advisor | Jean Gaston Darboux |
| Doctoral students |
Georges Darmois Dumitru Ionescu |
| Known for | Goursat tetrahedron, Cauchy–Goursat theorem |
Édouard Jean-Baptiste Goursat (21 May 1858 – 25 November 1936) was a French mathematician, now remembered principally as an expositor for his Cours d'analyse mathématique, which appeared in the first decade of the twentieth century. It set a standard for the high-level teaching of mathematical analysis, especially complex analysis. This text was reviewed by William Fogg Osgood for the Bulletin of the American Mathematical Society. This led to its translation in English by Earle Raymond Hedrick published by Ginn and Company. Goursat also published texts on partial differential equations and hypergeometric series.
Edouard Goursat was born in Lanzac, Lot. He was a graduate of the École Normale Supérieure, where he later taught and developed his Cours. At that time the topological foundations of complex analysis were still not clarified, with the Jordan curve theorem considered a challenge to mathematical rigour (as it would remain until L. E. J. Brouwer took in hand the approach from combinatorial topology). Goursat’s work was considered by his contemporaries, including G. H. Hardy, to be exemplary in facing up to the difficulties inherent in stating the fundamental Cauchy integral theorem properly. For that reason it is sometimes called the Cauchy–Goursat theorem.
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