Wave Motion [Paperback]

Textbook on wave phenomena for advanced undergraduate courses; worked examples, exercises and solutions for teachers.This textbook is an introduction to the mathematics of wave phenomena, and is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Further material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.This textbook is an introduction to the mathematics of wave phenomena, and is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Further material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.Waves are a ubiquitous and important feature of the physical world, and, throughout history, it has been a major challenge to understand them. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as with fluid mechanics, elasticity, and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.Introduction; Part I. Linear Waves: 1. Basic ideas; 2. Waves l#O