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Linear and Nonlinear Waves (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) Hardcover – August, 1974

ISBN-13: 978-0471940906 ISBN-10: 0471940909 Edition: 1st

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Product Details

  • Series: Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts
  • Hardcover: 656 pages
  • Publisher: Wiley-Interscience; 1 edition (August 1974)
  • Language: English
  • ISBN-10: 0471940909
  • ISBN-13: 978-0471940906
  • Product Dimensions: 6.2 x 1.6 x 9.3 inches
  • Shipping Weight: 2.4 pounds
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #487,336 in Books (See Top 100 in Books)

Editorial Reviews

Review

The re-issue of this excellent book on linear and nonlinear waves in paperback form is to be welcomed. (Zentralblatt Math, Volume 940, No 15, 2000) --This text refers to the Paperback edition.

From the Back Cover

INTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS With Emphasis on Wave Propagation and Diffusion G. L. Lamb Jr.

Geared to scientists and engineers seeking to hone their mathematical skills, this book draws on such phenomena as heat conduction and wave motion to show how partial differential equations are used to obtain specific information about the phy-sical world. Topics include one-dimensional problems, Laplace Transform method, Green's functions, spherical geometry, and first order equations. 1995 (0-471-31123-5) 496 pp.

APPLIED MATHEMATICS Second Edition J. David Logan. This highly acclaimed book provides readers from diverse scientific and engineering fields with an easily accessible, up-to-date treatment of mathematical methods. Coverage ranges from such standard topics as fluid mechanics and calculus of variations to modern methods--dimensional analysis and scaling, nonlinear wave propagation, bifurcation, and singular perturbation. 1996 (0-471-16513-1) 496 pp.

Also in this series...ORTHOGONAL SETS AND POLAR METHODS IN LINEAR ALGEBRA. Applications to Matrix Calculations, Systems of Equations, Inequalities, and Linear Programming Enrique Castillo, Angel Cobo, Francisco Jubete, and Rosa Eva Pruneda 1999 (0-471-32889-8) 440 pp.

ALGEBRA Pierre Grillet 1999 (0-471-25243-3) 694 pp.


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17 of 18 people found the following review helpful By A Customer on June 29, 1998
Format: Hardcover
Linear and Nonlinear Waves provides an excellent treatment of the wave phenomena. This is a very complex and mathematically intesive subject, which Whitham conveys in an understandable and followable manner. He takes the approach that the reader has some knowlege of the subject, but writes at an introductory graduate level. This book will give any mathematician or engineer interested in waves an excellent introduction and bring them to a superior understanding.
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4 of 4 people found the following review helpful By Don C. Fletcher on September 20, 2007
Format: Paperback
I took some graduate level courses from Dr. Whitham at CalTech in 1973 while this book was still in draft form, and he was the head of the Applied Mathematics department. He was an excellent lecturer, and this book has long been an exemplar of that style as well as the pioneer book in the treatment of non linear waves. To my knowledege it was the first textbook to treat solitons. The book is very subtle in its treatment of physics, and the adept reader will note the bearing of dispersion relations on the foundations of quantum mechanics.
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1 of 1 people found the following review helpful By honeste vivere on January 16, 2014
Format: Paperback Verified Purchase
Whitham's book on linear (e.g., sine waves) and nonlinear (e.g., solitons and shocks) waves is a very thorough and well written narrative of the various manifestations of the fluctuations we call waves. Whether a beginning graduate student or researcher, the book provides very insightful and useful derivations combined with physically significant discussions.

In many mathematically driven books, the math overwhelms the physical connection to reality leaving the reader to wonder if all they can accomplish with the book is symbol gymnastics. Whitham's book avoids this issue by using detailed figures and discussions, for instance, to explain why (in physical terms) one might convert a cosine into a complex exponential.

If you are a researcher in any field that involves wave-like phenomena, I strongly recommend this book.
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