Applied Mathematics / Edition 3

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Overview

This examination of mathematical methods covers scaling and dimensional analysis, regular and singular perturbation methods, nonlinear wave propagation, and stability and bifurcation.

The outstanding Second Edition — skillfully revised and thoroughly updated

Since its initial publication over ten years ago, J. David Logan's Applied Mathematics has established itself as an ideal modern introduction to the principles of this important subject. Now, energized with fresh material and refined to achieve optimum clarity, this Second Edition brings Logan's highly acclaimed text fully up to date for the '90s and beyond.

Like the original, this revised volume covers not only such standard topics as fluid mechanics and calculus of variations, but also more contemporary methods, including dimensional analysis and scaling, nonlinear wave propagation, bifurcation, and singular perturbation. New sections have been added on the WKB approximation, the asymptotic expansion of integrals, and numerical methods. The treatment of partial differential equations, integral equations, and Green's functions has also been expanded, and there are many new exercises throughout to help readers develop and improve problem-solving skills with the support of the Maple programs provided.

Classical in approach and broad in scope, Applied Mathematics, Second Edition is firmly rooted in the interdependence of mathematics and the physical sciences, making it an accessible and truly relevant resource for students and practitioners across a wide range of scientific and engineering fields.

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Editorial Reviews

From the Publisher
“…can be thoroughly recommended to all who want an up-to-date approach to their subject.” (Zentralblatt MATH, 2007)

"Future mathematicians, scientists and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference." (MAA Reviews, October 12, 2006)

Booknews
This second edition, published some ten years after the first, is considerably updated, but retains coverage of such standard topics as fluid mechanics and calculus of variations, as well as more contemporary methods such as dimensional analysis and scaling, nonlinear wave propagation, bifurcation, and singular perturbation. New sections are included on the WKB approximation, the asymptotic expansion of integrals, and numerical methods, while treatment of partial differential equations, integral equations, and Green's functions is expanded. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780471746621
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 4/21/2006
  • Edition description: REV
  • Edition number: 3
  • Pages: 552
  • Product dimensions: 5.83 (w) x 9.70 (h) x 1.38 (d)

Meet the Author

J. DAVID LOGAN, PhD, is Willa Cather Professor of Mathematics at the University of Nebraska, Lincoln. He is also the author of An Introduction to Nonlinear Partial Differential Equations, Second Edition and Mathematical Methods in Biology, both published by Wiley. Dr. Logan has served on the faculties at the University of Arizona, Kansas State University, and Rensselaer Polytechnic Institute, and he has been affiliated with Los Alamos Scientific Laboratory, Lawrence Livermore National Laboratory, and the Aerospace Research Laboratory.

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Table of Contents

Preface
1 Dimensional Analysis and Scaling 1
2 Perturbation Methods 32
3 Calculus of Variations 107
4 Partial Differential Equation Models 176
5 Integral Equations and Green's Functions 239
6 Wave Phenomena in Continuous Systems 290
7 Stability and Bifurcation 404
Index 473
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