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

Name: Advanced Mathematical Methods for Scientists and Engineers Asymptotic Methods and Perturbation Theory
Price: 77.48 USD
Availability: InStock
ISBN: 9780387989310

ISBN-10: 0387989315

ISBN-13: 9780387989310

Edition: 1999

Authors: Carl M. Bender, Steven A. Orszag

List price: $99.00

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Description:

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain 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 objective of this book is to teaching the insights and problem-solving skills that are most useful in solving mathematical problems arising in the course of modern research.Intended for graduate students and advanced undergraduates, the book assumes only a…

Book details

List price: $99.00
Copyright year: 1999
Publisher: Springer
Publication date: 10/29/1999
Binding: Hardcover
Pages: 593
Size: 6.50" wide x 9.75" long x 1.25" tall
Weight: 2.376
Language: English




Preface



Ordinary Differential Equations



Difference Equations



Approximate Solution of Linear Differential Equations



Approximate Solution of Nonlinear Equations



Approximate Solution of Difference Equations



Asymptotic Expansion of Integrals



Perturbation Series



Summation of Series



Boundary Layer Theory



WKB Theory



Multiple Scales Analysis


Appendix


References


Index