Exercices d'analyse
1937; Nature Portfolio; Volume: 140; Issue: 3541 Linguagem: Inglês
10.1038/140445c0
ISSN1476-4687
Autores Tópico(s)Algebraic Geometry and Number Theory
ResumoTHIS is the author's fourth volume of exercises in analysis. It is devoted mainly to partial differential equations of the first order, and consists of a discussion of some 55 problems taken from examination papers set at the Sorbonne for the Certificate in Calculus and from Part II of Édouard Goursat's "Course in Mathematical Analysis". The questions selected range from total differential equations to be solved by Bertrand's method, to simultaneous systems and problems in geometry involving partial equations. The solutions are not only complete, but also are characterized by their clarity and elegance. In nine cases, alternative methods, geometrical and analytical, are considered, whilst problem 53 is provided with three solutions. Relevant extensions, particular cases and applications are also indicated wherever possible. Exercices d'analyse Par Prof. Gaston Julia. Rédigés par Dr. Georges Bourion. Tome 4: Équations aux dérivées partielles du premier ordre. Pp. v + 230. (Paris: Gauthier-Villars, 1935.) 60 francs.
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