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portada Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory
Type
Physical Book
Publisher
Author
Year
1999
Language
English
Pages
593
Format
Hardcover
Weight
2.10
ISBN
0387989315
ISBN13
9780387989310
Edition No.
1999
Categories

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

Bender Carl M. And Steven A. Orszag: (Author) · Springer · Hardcover

Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory - Bender Carl M. And Steven A. Orszag:

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Synopsis "Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory "

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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