Edouard Goursat

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name = Edouard Goursat
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caption = Edouard Goursat
birth_date = 21 May 1858
birth_place = Lanzac, Lot
death_date = 25 November 1936
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nationality = France
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field = mathematics
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alma_mater = École Normale Supérieure
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Edouard 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.

Books by Edouard Goursat

* [http://www.archive.org/details/coursemathanalys01gourrich A Course In Mathematical Analysis Vol I] Translated by O. Dunkel and E. R. Hedrick (Ginn and Company, 1904)
* [http://www.archive.org/details/coursemathema0102gourrich A Course In Mathematical Analysis Vol II, part I] Translated by O. Dunkel and E. R. Hedrick (Ginn and Company, 1916) (Complex analysis)
* [http://www.archive.org/details/differentalequat033197mbp A Course In Mathematical Analysis Vol II Part II] Translated by O. Dunkel and E. R. Hedrick (Ginn and Company, 1917) (Differential Equations)

* [http://name.umdl.umich.edu/ACR1803.0001.001 Leçons sur l'intégration des équations aux dérivées partielles du premier ordre] (Hermann, Paris, 1891)
* [http://gallica.bnf.fr/document?O=N084146 Leçons sur l'intégration des équations aux dérivées partielles du second ordre, à deux variables indépendantes Tome 1] (Hermann, Paris 1896-1898)
* [http://gallica.bnf.fr/document?O=N084147 Leçons sur l'intégration des équations aux dérivées partielles du second ordre, à deux variables indépendantes Tome 2] (Hermann, Paris 1896-1898)
* [http://gallica.bnf.fr/document?O=N038309 Leçons sur les séries hypergéométriques et sur quelques fonctions qui s'y rattachent] (Hermann, Paris, 1936-1939)
* [http://gallica.bnf.fr/document?O=N038954 Le problème de Bäcklund] (Gauthier-Villars, Paris, 1925)
* [http://gallica.bnf.fr/document?O=N099552 Leçons sur le problème de Pfaff] (Hermann,Paris, 1922)
* [http://gallica.bnf.fr/document?O=N099595 Théorie des fonctions algébriques et de leurs intégrales : étude des fonctions analytiques sur une surface de Riemann] with Paul Appell (Gauthier-Villars, Paris, 1895)
* [http://gallica.bnf.fr/document?O=N092706 Théorie des fonctions algébriques d'une variable et des transcendantes qui s'y rattachent Tome II, Fonctions automorphes] with Paul Appell (Gauthier-Villars, 1930)

External links

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* William Fogg Osgood [http://projecteuclid.org/euclid.bams/1183417526 A modern French Calculus] Bull. Amer. Math. Soc. 9, (1903), pp. 547-555.
* William Fogg Osgood [http://projecteuclid.org/euclid.bams/1183418774 Review: Edouard Goursat, A Course in Mathematical Analysis] Bull. Amer. Math. Soc. 12, (1906), p. 263.
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