Perturbation Methods by E. J. HinchPerturbation Methods by E. J. Hinch

Perturbation Methods

byE. J. Hinch

Paperback | October 25, 1991

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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.
Title:Perturbation MethodsFormat:PaperbackDimensions:176 pages, 8.98 × 5.98 × 0.39 inPublished:October 25, 1991Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521378974

ISBN - 13:9780521378970


Table of Contents

Preface; 1. Algebraic equations; 2. Asymptotic expansions; 3. Integrals; 4. Regular problems in PDEs; 5. Matched asymptotic expansions; 6. Method of strained coordinates; 7. Method of multiple scales; 8. Improved convergence; Bibliography; Index.

Editorial Reviews

"...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