Wave Motion

Գրքի շապիկի երեսը
Cambridge University Press, 2000 - 468 էջ
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.
 

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Բովանդակություն

Introduction page
1
Basic Ideas
7
Waves on a Stretched String
17
Sound Waves
36
Nonlinear Waves
219
Stokes Expansion
280
Exercises
349
Advanced Topics
355
Diffraction and Scattering
378
Solitons and the Inverse Scattering Transform
405
Useful Mathematical Formulas and Physical Data
451
Index
459
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