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Linear and Nonlinear Waves (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) Paperback – 15 Jul 1999

5.0 out of 5 stars 2 customer reviews

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Product details

  • Paperback: 660 pages
  • Publisher: Wiley-Blackwell; Reprint edition (15 July 1999)
  • Language: English
  • ISBN-10: 0471359424
  • ISBN-13: 978-0471359425
  • Product Dimensions: 15.5 x 3.8 x 22.9 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Bestsellers Rank: 1,606,319 in Books (See Top 100 in Books)
  • See Complete Table of Contents

Product Description

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)

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. --This text refers to an out of print or unavailable edition of this title.

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Top Customer Reviews

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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Format: Paperback
A classic. The book explores many topics and most of the times use a clear language. I found very interesting the average lagrangian method and actually this is the only book that talk obut this since the method has been invented by Whitham.
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Most Helpful Customer Reviews on Amazon.com (beta)

Amazon.com: HASH(0xa2afff94) out of 5 stars 8 reviews
19 of 20 people found the following review helpful
HASH(0xa302aaa4) out of 5 stars The most understandable treatment of waves I have read! 29 Jun. 1998
By A Customer - Published on Amazon.com
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.
6 of 6 people found the following review helpful
HASH(0xa2b293d8) out of 5 stars Good book 20 Sept. 2007
By Don C. Fletcher - Published on Amazon.com
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.
2 of 2 people found the following review helpful
HASH(0xa3d2d444) out of 5 stars Thorough and Clear 16 Jan. 2014
By honeste vivere - Published on Amazon.com
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.
HASH(0xa2b27b04) out of 5 stars Top-notch astringent well-organized classic 29 Jan. 2016
By C Seher - Published on Amazon.com
Format: Hardcover
This is the book to own if you were only allowed One book on the subject. Hard to imagine regretting having a desk copy! To call it "useful" is an understatement. It gets things done.

It is sparse, incisive, thoughtful, elegant, and expert. Its organization is modern, meaningful, commodious and avoidant of redundancy---in striking contrast to pretentious inessential pseudo-scholarship flooding the literature under the guise of some spurious sense of "completeness", more often than not.

My personal, fortuitous, falling in love with it is still fresh in my memory after decades: I was looking for the "straight dope" on the Kelvin wave pattern in boat wakes, without fanciful Airy functions and mumbo-jumbo fugues in hapless mathematese. I hit upon its pp 409-410 concise and tasteful "behold!" demonstration, ending with the inimitable "...all swimming objects have effective Mach number 3." I was hooked. I heard the music, and it was Mozart's Haffner serenade...
1 of 2 people found the following review helpful
HASH(0xa2b27864) out of 5 stars Basic book in fluidoynamics 10 July 2013
By martina luigi - Published on Amazon.com
Format: Paperback Verified Purchase
It is a basic book for graduate students and researchers in fluidoynamics. Linear, nonlinear dispersive and shock dispersionless waves in are described in detail in gas dynamics and water waves. A short review of the soliton theory is given.
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