Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory / Edition 1

Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory / Edition 1

by Steven a. Orszag, Carl M. Bender
     
 

ISBN-10: 0387989315

ISBN-13: 9780387989310

Pub. Date: 10/29/1999

Publisher: Springer New York

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining appro ximate analytical solutions to differential and difference equations. These methods allow one to analyze problems that are encountered in ph ysics and engineering that may not be solvable in closed form and for which

Overview

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining appro ximate analytical solutions to differential and difference equations. These methods allow one to analyze problems that are encountered in ph ysics and engineering that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutio ns. The presentation is aimed at teaching the insights that are most u seful in approaching new problems; it avoids special methods and trick s that work only for particular problems, such as the traditional tran scendental functions.

Product Details

ISBN-13:
9780387989310
Publisher:
Springer New York
Publication date:
10/29/1999
Edition description:
1999
Pages:
593
Product dimensions:
6.10(w) x 9.25(h) x 0.06(d)

Table of Contents

I Preface. 1 Ordinary Differential Equations. 2 Difference Equations. 3 Approximate Solution of Linear Differential Equations. 4 Approximate Solution of Nonlinear Equations. 5 Approximate Solution of Difference Equations. 6 Asymptotic Expansion of Integrals. 7 Perturbation Series. 8 Summation of Series. 9 Boundary Layer Theory. 10 WKB Theory. 11 Multiple Scales Analysis. Appendix, References, Index

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