Perturbation Methods
1st Edition
Published on 25. October 1991
978-1-139-92720-8 (ISBN)
Description
Perturbation methods are one of the fundamental tools used by all applied mathematicians and theoretical physicists. In this book, the author has managed to present the theory and techniques underlying such methods in a manner which will give the text wide appeal to students from a broad range of disciplines. Asymptotic expansions, strained coordinates and multiple scales are illustrated by copious use of examples drawn from all areas of applied mathematics and theoretical 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 to give a physical understanding of the subtle balances in a complex problem.
Reviews / Votes
'A nice and readable introduction.' Monatshefte fuer MathematikMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
File size
10,37 MB
ISBN-13
978-1-139-92720-8 (9781139927208)
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Schweitzer Classification
Other editions
Additional editions
E. J. Hinch
Perturbation Methods
Book
10/1991
Cambridge University Press
€66.40
Shipment within 15-20 days
E. J. Hinch
Perturbation Methods
Book
10/1991
Cambridge University Press
€74.28
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Content
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.
