Linear and Nonlinear Waves (Pure and Applied Mathematics)

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.

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.