A textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines. Series Editor(s): Ablowitz, Mark J.; Davis, S. H.; Hinch, E. J.; Iserles, A.; Ockendon, J.; Olver, Peter J. Series: Cambridge Texts in Applied Mathematics. Num Pages: 176 pages, bibliography, index. BIC Classification: PBK; PBW. Category: (P) Professional & Vocational. Dimension: 229 x 154 x 11. Weight in Grams: 274. . 2008. 1st Edition. paperback. . . . .

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Bibliographic Details

Title: Perturbation Methods: 6 (Cambridge Texts in Applied Mathematics, Series Number 6)
Publisher: Cambridge University Press
Publication Date: 2008
Language: English
ISBN 10: 0521378974
ISBN 13: 9780521378970
Binding: Soft cover
Edition: 1st Edition
Condition: New

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Synopsis

In this book the author presents the theory and techniques underlying perturbation methods in a manner that will make the book widely appealing to readers in a broad range of disciplines. Methods of algebraic equations, asymptotic expansions, integrals, PDEs, strained coordinates, and multiple scales are illustrated by copious use of examples drawn from many areas of mathematics and physics. The philosophy adopted is that there is no single or best method for such problems, but that one may exploit the small parameter given some experience and understanding of similar perturbation problems. The author does not look to perturbation methods to give quantitative answers but rather uses them to give a physical understanding of the subtle balances in a complex problem.

Review

"...a suitable text book for a one semester graduate course in perturbation methods. It may also be used for self study by physicists who need to know more about perturbation methods for their work....a good starting point for those who wish to enlarge their knowledge of perturbation methods." Edward G. Harris, American Journal of Physics

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