Linear and Nonlinear Waves

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Reprint of the 1974 edition, with no additions or emendations. Intended for first- and second-year graduate students of applied mathematics, as well as engineering and physics students. Discusses hyperbolic waves, and related subjects such as Burgers' equation, gas and shock dynamics, and wave hierarchies; and dispersive waves and related subjects such as water waves and nonlinear dispersion. -- Copyright © 1999 Book News, Inc., Portland, OR All rights reserved


Book Description
Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.


Book Info
Covers all the major well-established ideas of linear and nonlinear waves, emphasizing nonlinear theory from the outset and introduces the very active research areas in this field. DLC: Wave-motion, Theory of.


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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Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.


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