Alexander A. Dorfmann Diffraction of Water Waves Integral Transforms and Special Functions ISBN: 978-3-8440-2074-8 Prijs: 35,80 € / 44,75 SFR |
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The book describes mathematical tools to investigate diffraction of water waves. The foun-dations of these techniques where given by Arnold Sommerfeld. The book emphasizes on integral transforms such as Laplace, Hilbert, Havelock, Mellin, Legendre, Mathieu among oth-ers. Furthermore, double integral transforms are studied. Different coordinate systems are also discussed. The actual calculations are done in detail. An appendix summarizes curvilinear co- ordinates, special functions such as sine and cosine integrals, and the separation of variables for partial differential equations. The book provides a rich source of mathematical tools ap- plied in this special field of hydrodynamics, and it is a useful addition to the literature in this research field. Willi-Hans Steeb |
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Bron: Zentralblatt MATH 1287 -1 | |
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