Applied Asymptotic Analysis

ISBN-10: 0821840789

ISBN-13: 9780821840788

Edition: 2006

Authors: Peter D. Miller

List price: $75.00
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A survey of asymptotic methods set in the applied research context of wave propagation, this book stresses rigorous analysis in addition to formal manipulations. It is intended for a beginning graduate course on asymptotic analysis in applied mathematics.
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Book details

List price: $75.00
Copyright year: 2006
Publisher: American Mathematical Society
Publication date: 6/27/2006
Binding: Hardcover
Pages: 467
Size: 7.00" wide x 10.00" long x 1.25" tall
Weight: 3.212
Language: English

Spyridon Kamvissis is a researcher at the Max Planck Institute of Mathematics in Bonn, Germany, and a Professor of Mathematics at the National Technical University in Athens, Greece. Kenneth D. T-R McLaughlin is Assistant Professor of Mathematics at the University of North Carolina, Chapel Hill. Peter D. Miller is Assistant Professor of Mathematics at the University of Michigan, Ann Arbor.

Fundamentals: Themes of asymptotic analysis
The nature of asymptotic approximations
Asymptotic analysis of exponential integrals: Fundamental techniques for integrals
Laplace's method for asymptotic expansions of integrals
The method of steepest descents for asymptotic expansions of integrals
The method of stationary phase for asymptotic analysis of oscillatory integrals
Asymptotic analysis of differential equations: Asymptotic behavior of solutions of linear second-order differential equations in the complex plane
Introduction to asymptotics of solutions of ordinary differential equations with respect to parameters
Asymptotics of linear boundary-value problems
Asymptotics of oscillatory phenomena
Weakly nonlinear waves
Appendix: Fundamental inequalities
Index of names
Subject index
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