An expert guide to the relationship between information theory and the physics of wave propagation, covering stochastic and deterministic approaches, engineering applications, and the universal physical limits of radiation. It is an ideal reference for researchers and graduate students in electrical engineering, physics, and applied mathematics.

This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series.The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow. The intent of this book is to create a text suitable for independent study by undergraduate students in mathematics, engineering, and science. The content of the book is meant to be self-contained, requiring no special reference material. Access to computer software such as MathematicaR, MATLABR, or MapleR is recommended, but not necessary. Scripts for MATLAB applications will be available via the Web. Exercises are given within the text to allow further practice with selected topics.

"No one interested in the history of optics, the history of eighteenth- and nineteenth-century physics, or the general phenomenon of theory change in science can afford to ignore Jed Buchwald's well-structured, highly detailed, and scrupulously researched book. . . . Buchwald's analysis will surely constitute the essential starting point for further work on this important and hitherto relatively neglected episode of theory change."—John Worrall, Isis

This volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.

Clear, coherent work for graduate-level study discusses the Maxwell field equations, radiation from wire antennas, wave aspects of radio-astronomical antenna theory, the Doppler effect, and more.

Two experimental procedures prompted the empirical development of psychophysical models: those that measure response frequency, often referred to as response probability; and those that measure response time, sometimes referred to as reaction time. The history of psychophysics is filled with theories that predict one or the other of these two responses. Yet the persistent reappearance of empirical relationships between these two measures of performance makes clear the need for a theory that both predicts and relates these two measures. Most likely, both response measures are the result of a single process that generates empirical laws relating response time and response probability. It is this process — its theory, description, and application — that is the topic of The Wave Theory of Difference and Similarity. Originally published in 1992, the author of this book has set out to provide a theoretical foundation for formulating new theories that systematize earlier results and to stimulate new concepts and introduce new tools for exploring mental phenomena and improving mental measurement.

From the author of Future Shock, a striking way out of today’s despair . . . a bracing, optimistic look at our new potentials. The Third Wave makes startling sense of the violent changes now battering our world. Its sweeping synthesis casts fresh light on our new forms of marriage and family, on today's dramatic changes in business and economics. It explains the role of cults, the new definitions of work, play, love, and success. It points toward new forms of twenty-first-century democracy. Praise for The Third Wave “Magnificent . . . an astonishing array of information.”—The Washington Post “Imperishably fresh.”—Business Week “Will mesmerize readers, and rightly so.”—Vogue “Alvin Toffler . . . has written another blockbuster . . . a powerful book.”—The Guardian “Fresh ideas, clearly explained. . . . Toffler has proven again that he is a master.”—United Press International “Toffler has imagination and an ability to think of various future possibilities by transcending prevailing values, assumptions and myths.”—Associated Press “Once you have walked into his version of the future, you may decide never again to whitewash some of the built-in frailties of the real present.”—Financial Post “Rich, stimulating and basically optimistic . . . will unquestionably aid many to a greater understanding of [today’s] puzzling social changes.”—The Globe & Mail “A detailed breathtakingly bold projection of the social changes required if we are to survive. . . . Toffler’s vision of a democratic, self-sustaining utopia is a brave alternative to recent grim warnings.”—Cosmopolitan