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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods

Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory Hardback - 1999

by Carl M. Bender

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  • Hardcover

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and pertubation theory for obtaining approximate analytical solutions to differential and difference equations. The presentation provides insights that will be useful approaching new problems.

Description

Hardback. New. 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.
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From the publisher

Intended for graduate students and advanced undergraduates, 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 provide useful solutions.

First line

An nth-order differential equation has the form y(n)(x) = F[x, y(x), y'(x), ..., y(n-1)(x)], (1.1.1) where y(k) = dky/dxk.