By Maurice Roseau
Organized into 8 chapters, this quantity starts with an summary of the Fourier-Laplace necessary, the Mellin rework, and detailed features equivalent to the gamma functionality and the Bessel capabilities. 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 enlargement of Hankel's capabilities in the community of the purpose at infinity, and the asymptotic habit of the Laplace rework. The ebook additionally examines the strategy of steepest descent, the asymptotic illustration of Hankel's functionality of huge order, and the scattering matrix conception. the remainder chapters concentrate on difficulties of circulate in open channels, the propagation of elastic waves inside a layered round physique, and a few difficulties in water wave conception.
This booklet is a worthwhile source for mechanics and scholars of utilized arithmetic and mechanics.
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