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Other titles in the Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts series:

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

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

 

Synopses & Reviews

Synopsis:

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.

Table of Contents

Introduction and General Outline.

HYPERBOLIC WAVES.

Waves and First Order Equations.

Specific Problems.

Burger's Equation.

Hyperbolic Systems.

Gas Dynamics.

The Wave Equation.

Shock Dynamics.

The Propagation of Weak Shocks.

Wave Hierarchies.

DISPERSIVE WAVES.

Linear Dispersive Waves.

Wave Patterns.

Water Waves.

Nonlinear Dispersion and the Variational Method.

Group Velocities, Instability, and Higher Order Dispersion.

Applications of the Nonlinear Theory.

Exact Solutions: Interacting Solitary Waves.

References.

Index.

Product Details

ISBN:
9780471940906
Author:
Whitham, Gerald Beresford
Author:
Whitham, G. B.
Publisher:
Wiley-Interscience
Location:
New York
Subject:
Waves & Wave Mechanics
Subject:
Wave-motion, theory of
Subject:
Waves
Subject:
Applied Mathematics in Science
Copyright:
Edition Description:
Bibliography: p. 621-628.
Series:
Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts
Series Volume:
no. 34
Publication Date:
19740909
Binding:
Hardback
Language:
English
Illustrations:
Yes
Pages:
656
Dimensions:
9.31x6.48x1.44 in. 2.24 lbs.

Related Subjects

Science and Mathematics » Mathematics » Physics

Linear and Nonlinear Waves (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)
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Product details 656 pages Wiley-Interscience - English 9780471940906 Reviews:
"Synopsis" by , 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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