Perturbation Methods / Edition 1

by Ali H. Nayfeh

Overview

The Method of Perturbations (asymptotic expansions) is an approximations technique for solving complicated problems in mathematics, engineering and physics involving nonlinear equations, variable coefficients and nonlinear boundary conditions. The purpose of this book is to present in a unified way an account of some of these techniques, pointing out their similarities, differences, and advantages, as well as their limitations.

Product Details

ISBN-13:	2900471399178
Publication date:	07/26/2000
Edition description:	WILEY CLAS
Pages:	437
Product dimensions:	6.00(w) x 1.25(h) x 9.00(d)

About the Author

Ali H. Nayfeh received his BS in engineering science and his MS and PhD in aeronautics and astronautics from Stanford University. He holds honorary doctorates from Marine Technical University, Russia, Technical University of Munich, Germany, and Politechnika Szczecinska, Poland. He is currently University Distinguished Professor of Engineering at Virginia Tech. He is the Editor of the Wiley Series in Nonlinear Science and Editor in Chief of Nonlinear Dynamics and the Journal of Vibration and Control.

Table of Contents

Straightforward Expansions and Sources of Nonuniformity.
The Method of Strained Coordinates.
The Methods of Matched and Composite Asymptotic Expansions.
Variation of Parameters and Methods of Averaging.
The Method of Multiple Scales.
Asymptotic Solutions of Linear Equations.
References and Author Index.
Subject Index.

Editorial Reviews

Presents perturbation techniques. Coverage encompasses straightforward expansions and sources of nonuniformity, the method of strained coordinates, matched and composite asymptotic expansions, variations of parameters and methods of averaging, multiple scales, and asymptotic solutions of linear equations. Examples are drawn from different branches of physics and engineering. For each example a short description of the physical problem is first presented. Includes exercises. Assumes knowledge of basic calculus and elementary properties of ordinary and partial differential equations. Author information is not given. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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