Calculus of Variations

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book Calculus of Variations by Lev D. Elsgolc, Dover Publications
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Author: Lev D. Elsgolc ISBN: 9780486154930
Publisher: Dover Publications Publication: May 7, 2012
Imprint: Dover Publications Language: English
Author: Lev D. Elsgolc
ISBN: 9780486154930
Publisher: Dover Publications
Publication: May 7, 2012
Imprint: Dover Publications
Language: English

This concise text offers both professionals and students an introduction to the fundamentals and standard methods of the calculus of variations. In addition to surveys of problems with fixed and movable boundaries, it explores highly practical direct methods for the solution of variational problems.
Topics include the method of variation in problems with fixed boundaries; variational problems with movable boundaries and other problems; sufficiency conditions for an extremum; variational problems of constrained extrema; and direct methods of solving variational problems. Each chapter features numerous illustrative problems, and solutions appear at the end.

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This concise text offers both professionals and students an introduction to the fundamentals and standard methods of the calculus of variations. In addition to surveys of problems with fixed and movable boundaries, it explores highly practical direct methods for the solution of variational problems.
Topics include the method of variation in problems with fixed boundaries; variational problems with movable boundaries and other problems; sufficiency conditions for an extremum; variational problems of constrained extrema; and direct methods of solving variational problems. Each chapter features numerous illustrative problems, and solutions appear at the end.

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