# Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory

## Carl M. Bender; Steven A. Orszag

4,32 valoración promedio
( 22 valoraciones por Goodreads )

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

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Review:

"This book is a reprint of the original published by McGraw-Hill \ref [MR0538168 (80d:00030)]. The only changes are the addition of the Roman numeral I to the title and the provision of a subtitle, "Asymptotic methods and perturbation theory". This latter improvement is much needed, as the original title suggested that this was a teaching book for undergraduate scientists and engineers. It is not, but is an excellent introduction to asymptotic and perturbation methods for master's degree students or beginning research students. Certain parts of it could be used for a course in asymptotics for final year undergraduates in applied mathematics or mathematical physics.

This is a book that has stood the test of time and I cannot but endorse the remarks of the original reviewer. It is written in a fresh and lively style and the many graphs and tables, comparing the results of exact and approximate methods, were in advance of its time. I have owned a copy of the original for over twenty years, using it on a regular basis, and, after the original had gone out of print, lending it to my research students. Springer-Verlag has done a great service to users of, and researchers in, asymptotics and perturbation theory by reprinting this classic."  (A.D. Wood, Mathematical Reviews)

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## 1.Advanced Mathematical Methods for Scientists and Engineers I

ISBN 10: 0387989315 ISBN 13: 9780387989310
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## 2.Advanced Mathematical Methods for Scientists and Engineers I

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## 3.Advanced Mathematical Methods for Scientists and Engineers I

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## 4.Advanced Mathematical Methods for Scientists and Engineers

Editorial: Springer 1999-12-01 (1999)
ISBN 10: 0387989315 ISBN 13: 9780387989310
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## 5.Advanced Mathematical Methods for Scientists and Engineers

Editorial: Springer New York 1999-10-29, New York (1999)
ISBN 10: 0387989315 ISBN 13: 9780387989310
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Descripción Springer New York 1999-10-29, New York, 1999. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387989310

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## 6.Advanced Mathematical Methods for Scientists and Engineers I

Editorial: Springer-Verlag New York Inc. (1999)
ISBN 10: 0387989315 ISBN 13: 9780387989310
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Descripción Springer-Verlag New York Inc., 1999. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780387989310

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## 7.Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory (Hardback)

Editorial: Springer-Verlag New York Inc., United States (1999)
ISBN 10: 0387989315 ISBN 13: 9780387989310
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Descripción Springer-Verlag New York Inc., United States, 1999. Hardback. Estado de conservación: New. New edition. Language: English . Brand New Book. A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions. Nº de ref. de la librería AAZ9780387989310

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## 8.Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory (Hardback)

Editorial: Springer-Verlag New York Inc., United States (1999)
ISBN 10: 0387989315 ISBN 13: 9780387989310
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(London, Reino Unido)
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Descripción Springer-Verlag New York Inc., United States, 1999. Hardback. Estado de conservación: New. New edition. Language: English . Brand New Book. A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions. Nº de ref. de la librería AAZ9780387989310

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## 9.Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory: v. 1 (Hardcover)

ISBN 10: 0387989315 ISBN 13: 9780387989310
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## 10.Advanced Mathematical Methods for Scientists and Engineers I

Editorial: Springer-Verlag New York Inc. (1999)
ISBN 10: 0387989315 ISBN 13: 9780387989310