Read e-book online Asymptotic Wave Theory (Mathematics & Mechanics) PDF

By Maurice Roseau

ISBN-10: 0720423708

ISBN-13: 9780720423709

Asymptotic Wave conception investigates the asymptotic habit of wave representations and offers a few ordinary effects borrowed from hydrodynamics and elasticity thought. It describes innovations comparable to Fourier-Laplace transforms, operational calculus, precise services, and asymptotic equipment. It additionally discusses purposes to the wave equation, the weather of scattering matrix thought, difficulties concerning the wave equation, and diffraction.
Organized into 8 chapters, this quantity starts off with an outline of the Fourier-Laplace essential, the Mellin remodel, and specified services akin to the gamma functionality and the Bessel features. It then considers wave propagation, with emphasis on representations of airplane, cylindrical or round waves. It methodically introduces the reader to the reflexion and refraction of a airplane wave on the interface among homogeneous media, the asymptotic growth of Hankel's capabilities in the community of the purpose at infinity, and the asymptotic habit of the Laplace rework. The e-book additionally examines the tactic of steepest descent, the asymptotic illustration of Hankel's functionality of huge order, and the scattering matrix conception. the rest chapters specialise in difficulties of move in open channels, the propagation of elastic waves inside a layered round physique, and a few difficulties in water wave thought.
This booklet is a necessary source for mechanics and scholars of utilized arithmetic and mechanics.

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Asymptotic Wave Theory (Mathematics & Mechanics) by Maurice Roseau

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