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Exercices d'analyse

Nature volume 140, page 445 (11 September 1937) | Download Citation

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Abstract

THIS 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.

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DOI

https://doi.org/10.1038/140445c0

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  1. Search for F. G. W. B. in:

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