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Nonlinear Waves, Solitons and Chaos
The second edition of a highly successful book on nonlinear waves, solitons and chaos.
Analytical and Numerical Methods for Wave Propagation in Fluid Media
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance. Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
It's a Nonlinear World
Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations. After an introductory chapter that explores what it means to be nonlinear, the book covers the mathematical concepts such as limit cycles, fractals, chaos, bifurcations, and solitons, that will be applied throughout the book. Numerous computer simulations and exercises allow students to explore topics in greater depth using the Maple computer algebra system. The mathematical level of the text assumes prior exposure to ordinary differential equations and familiarity with the wave and diffusion equations. No prior knowledge of Maple is assumed. The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the "real world", or for self-study by practicing scientists and engineers.
An Introduction to the Mathematical Theory of Waves
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.Th...
Ways Out Of The Arms Race: From The Nuclear Threat To Mutual Security - Proceedings Of The Second International Scientists' Congress
This congress gathers together scientists from all over the world to analyse the problems of, and possible solutions to, the arms race.Speakers: A Arbatov, E Ash, V Baranovsky, P Deák, H-P Dürr, S Elworthy, R Ennals, R Fieldhouse, R Forsberg, V Gamba-Stonehouse, R Garwin, V Goldanskii, F Heisbourg, F von Hippel, D Hodgkin, S Kapitza, T Kibble, A Lecocq, P Lewis, S Lunn, R McNamara, S Oznobischev, J Pike, R Rilling, J Rotblat, R Sagdeev, M Schmidt, J Sharp, P Smoker, P Starlinger, J A Stein, K Subrahmanyam, T Taylor, M-B Theorin, J Thompson, R Trapp & C Voûte.
Scientific and Technical Aerospace Reports
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Nonlinear Dynamics, Chaotic and Complex Systems
The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late twentieth century science. It turns out that chaotic bahaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavor. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field.
