Wave Motion
Seiten
2001
Cambridge University Press (Verlag)
978-0-521-63257-7 (ISBN)
Cambridge University Press (Verlag)
978-0-521-63257-7 (ISBN)
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This introduction to the mathematics of waves is for undergraduates in mathematics, physics or engineering. Further material on linear and nonlinear waves is also included for the benefit of graduates. The context and underlying physics is clearly explained; 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. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus 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 an acquaintance 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.
Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus 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 an acquaintance 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 on a stretched string; 3. Sound waves; 4. Linear water waves; 5. Waves in elastic solids; 6. Electromagnetic waves; Part II. Nonlinear Waves: 7. The formation and propagation of shock waves; 8. Nonlinear water waves; 9. Chemical and electrochemical waves; Part III. Advanced Topics: 10. Burgers' equation; 11. Diffraction and scattering; 12. Solitons and the inverse scattering transform; Appendix. Useful mathematical formulas and physical data; Bibliography; Index.
| Erscheint lt. Verlag | 29.1.2001 |
|---|---|
| Reihe/Serie | Cambridge Texts in Applied Mathematics |
| Zusatzinfo | Worked examples or Exercises; 1 Tables, unspecified; 13 Halftones, unspecified |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 870 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
| ISBN-10 | 0-521-63257-9 / 0521632579 |
| ISBN-13 | 978-0-521-63257-7 / 9780521632577 |
| Zustand | Neuware |
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