9780387989310-0387989315-Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory

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

ISBN-13: 9780387989310
ISBN-10: 0387989315
Edition: 1999
Author: Carl M Bender, Steven A. Orszag
Publication date: 1999
Publisher: Springer
Format: Hardcover 607 pages
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Book details

ISBN-13: 9780387989310
ISBN-10: 0387989315
Edition: 1999
Author: Carl M Bender, Steven A. Orszag
Publication date: 1999
Publisher: Springer
Format: Hardcover 607 pages

Summary

Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (ISBN-13: 9780387989310 and ISBN-10: 0387989315), written by authors Carl M Bender, Steven A. Orszag, was published by Springer in 1999. With an overall rating of 4.3 stars, it's a notable title among other Engineering (Mathematical Analysis, Mathematics, Pure Mathematics, Mathematical Physics, Physics) books. You can easily purchase or rent Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (Hardcover, Used) from BooksRun, along with many other new and used Engineering books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $12.14.

Description

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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