Wave theory and applications
著者
書誌事項
Wave theory and applications
（Oxford applied mathematics and computing science series）
Clarendon Press , Oxford University Press, 1988
- : pbk.
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注記
Includes index
内容説明・目次
内容説明
This textbook provides an introduction to wave theory and its applications to physical phenomena such as deep water waves, transmission lines, elasticity and traffic flow. Each of the main topics, which include the classical wave equation, dispersion, dissipation, interconnected waves, diffusive waves and first and second order non-linear waves, is treated generally with the derivation of governing equations followed by a discussion of particular problems in detail. There is more extensive coverage of non-linear and elastic waves and one chapter is devoted to the use of characteristics and asymptotic expansions. The book includes exercises, some with solutions, and examples of the applications of the theory of waves and oscillations. It should be suitable for first, second and third year undergraduates, and their lecturers, on mathematics, physics and engineering courses.
目次
- Transverse waves on strings, including d'Alembert's solution
- transverse vibrations of strings
- long waves on canals, including an introduction to Bessel functions
- surface waves on relatively deep water
- characteristics and boundary conditions
- transmission lines, including use of Laplace transform for partial differential equations with constant coefficients, Kelvin's cable, Heaviside cables
- linear isentropic isotropic elastodynamics, including Rayleigh waves, Rayleigh-Lamb theory
- linear dilational waves in thermoelastic and Voigt solids
- unidirectional traffic flow, including Burgers' equation
- non-linear plane dilatational waves in solids. Index.
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