Can I read Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory on EtoBox?

Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory by Carl M. Bender, Steven A. Orszag is a nonfiction available to read on EtoBox.

What is Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory about?

This book gives 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. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute- force numerical methods may not converge to useful solutions. The presentation is aimed at teaching the insights that are most useful in approaching new problems; it avoids special methods and tricks that work only for particular problems, such as the traditional transcendental functions. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and

Who reads Advanced Mathematical Methods for Scientists and Engineers I : Asymptotic Methods and Perturbation Theory?

Author

Carl M. Bender, Steven A. Orszag

Publisher

Springer New York : Imprint : Springer

Published

1999

Language

EN

ISBN

9780387989310

Category

nonfiction

Subjects

Science, Physics, Mathematics

Rating

4.32 / 5 (11 ratings)

Updated

2026-03-14