Provides a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of "uniformity" is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB ...
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Provides a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of "uniformity" is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB method are covered, and the asymptotic validity (in the rigorous sense) of each method is carefully proved. First published in 1991, this book is still useful today because it is an introduction. It combines perturbation results with those known through other methods. Sometimes a geometrical result (such as the existence of a periodic solution) is rigorously deduced from a perturbation result, and at other times knowledge of the geometry of the solutions is used to aid in the selection of an effective perturbation method. Dr. Murdock's approach differs from other introductory texts because he attempts to present perturbation theory as a natural part of a larger whole, the mathematical theory of differential equations. He explores the meaning of the results and their connections to other ways of studying the same problems.
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Add this copy of Perturbations: Theory and Methods to cart. $41.63, very good condition, Sold by ThriftBooks-Atlanta rated 5.0 out of 5 stars, ships from Austell, GA, UNITED STATES, published 1987 by Society for Industrial and Applied Mathematic.
Edition:
1987, Society for Industrial and Applied Mathematics (SIAM)
Add this copy of Perturbations: Theory and Methods to cart. $65.00, very good condition, Sold by JDH Lawton OK rated 5.0 out of 5 stars, ships from LAWTON, OK, UNITED STATES, published 1987 by Society for Industrial and Applied Mathematics (SIAM).
Edition:
1987, Society for Industrial and Applied Mathematics (SIAM)
Publisher:
Society for Industrial and Applied Mathematics (SIAM)
Published:
1987
Language:
English
Alibris ID:
16999754781
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Seller's Description:
Very good. Ex-library. Trade paperback (US). Glued binding. 509 p. Contains: Illustrations. Classics in Applied Mathematics, 27. Audience: General/trade. LCCN 99036132 Type of material Book Personal name Murdock, James A. Main title Perturbations: theory and methods / James A. Murdock. Published/Created Philadelphia: Society for Industrial and Applied Mathematics, c1999. Description xx, 509 p. : ill.; 23 cm. LC classification QA871. M87 1999 Subjects Perturbation (Mathematics) Notes Includes bibliographical references and indexes. Series Classics in applied mathematics; 27 Dewey class no. 515/.35
Add this copy of Perturbations: Theory and Methods (Classics in Applied to cart. $83.13, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1987 by Society for Industrial and App.
Edition:
1987, Society for Industrial and Applied Mathematics (SIAM)
Add this copy of Perturbations: Theory and Methods (Classics in Applied to cart. $101.65, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1987 by Society for Industrial and App.
Edition:
1987, Society for Industrial and Applied Mathematics (SIAM)
