Boundary Value Problems and Fourier Expansions

Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book Boundary Value Problems and Fourier Expansions by Charles R. MacCluer, Dover Publications
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Author: Charles R. MacCluer ISBN: 9780486153179
Publisher: Dover Publications Publication: January 18, 2013
Imprint: Dover Publications Language: English
Author: Charles R. MacCluer
ISBN: 9780486153179
Publisher: Dover Publications
Publication: January 18, 2013
Imprint: Dover Publications
Language: English

Based on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to selected topics, including Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises.

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Based on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to selected topics, including Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises.

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