Perturbations: Theory and Methods (Classics in Applied Mathematics)

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9780898714432: Perturbations: Theory and Methods (Classics in Applied Mathematics)

Perturbations: Theory and Methods gives 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.

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From the Publisher:

This user-friendly work presents perturbation theory for the solution of algebraic and differential equations, especially ordinary differential equations. It covers all of the methods commonly used in both regular and singular perturbations: Taylor series, Lindstedt series, strained parameters, multiple scales, averaging, matching and WKB methods. Its unique feature is the attention given to the interpretation of results. Considerable attention is given to the mathematical validity of the methods presented and to the estimation of error in a perturbation approximation. Makes accessible to all users of perturbations theory many of the subtler points often known only by specialists.

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Murdock, James A.
Editore: Society for Industrial and Applied Mathematics
ISBN 10: 0898714435 ISBN 13: 9780898714432
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Descrizione libro Society for Industrial and Applied Mathematics. PAPERBACK. Condizione libro: New. 0898714435 New Condition. Codice libro della libreria NEW6.0603837

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Murdock, James A.
Editore: Society for Industrial and App (1987)
ISBN 10: 0898714435 ISBN 13: 9780898714432
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Descrizione libro Society for Industrial and App, 1987. Paperback. Condizione libro: New. Codice libro della libreria P110898714435

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James A. Murdock
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 1999. Paperback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780898714432

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James A. Murdock
Editore: Society for Industrial Applied Mathematics,U.S., United States (1999)
ISBN 10: 0898714435 ISBN 13: 9780898714432
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 1999. Paperback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAN9780898714432

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Murdock, James A.
Editore: Society for Industrial and Applied Mathematics (1987)
ISBN 10: 0898714435 ISBN 13: 9780898714432
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Descrizione libro Society for Industrial and Applied Mathematics, 1987. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780898714432

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James A. Murdock, Robert O'Malley
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ISBN 10: 0898714435 ISBN 13: 9780898714432
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Descrizione libro Society for Industrial & Applied Mathematics,U.S. Paperback. Condizione libro: new. BRAND NEW, Perturbations: Theory and Methods, James A. Murdock, Robert O'Malley, Perturbations: Theory and Methods gives 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. Codice libro della libreria B9780898714432

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James A. Murdock
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ISBN 10: 0898714435 ISBN 13: 9780898714432
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Descrizione libro Society for Industrial and Applied Mathematics, 1987. Paperback. Condizione libro: New. 1. Codice libro della libreria DADAX0898714435

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James A. Murdock
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Descrizione libro Society for Industrial and Applied Mathematics, 1987. Paperback. Condizione libro: New. book. Codice libro della libreria 0898714435

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James A. Murdock
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ISBN 10: 0898714435 ISBN 13: 9780898714432
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Descrizione libro Society for Industrial & Applied, 1999. Paperback. Condizione libro: Brand New. 1st edition. 509 pages. 9.25x6.25x1.25 inches. In Stock. Codice libro della libreria __0898714435

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