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Asymptotic wave theory /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam : New York :
North-Holland Pub. Co. ; American Elsevier Pub. Co.,
1976.
|
| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 20. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
MARC
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| 100 | 1 | |a Roseau, Maurice. | |
| 245 | 1 | 0 | |a Asymptotic wave theory / |c by Maurice Roseau. |
| 260 | |a Amsterdam : |b North-Holland Pub. Co. ; |a New York : |b American Elsevier Pub. Co., |c 1976. | ||
| 300 | |a 1 online resource (x, 349 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland series in applied mathematics and mechanics ; |v v. 20 | |
| 504 | |a Includes bibliographical references (pages 345-347) and index. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Asymptotic Wave Theory; Copyright Page; Preface; Table of Contents; CHAPTER 1. THE FOURIER-LAPLACE INTEGRAL; 1.1. The Laplace transform; 1.2. The Fourier transform in L1; 1.3. The Fourier transform in L2; 1.4. The Laplace transform (continued); 1.5. The Mellin transform; CHAPTER 2. SPECIAL FUNCTIONS; 2.I. The gamma function; 2. II. The Bessel functions; CHAPTER 3. THE WAVE EQUATION; 3.1. Introduction; 3.2. The reflexion and refraction of a plane wave at the interface between two homogeneous media; 3.3. Spherical waves; 3.4. Cylindrical waves; 3.5. Group velocity; 3.6. Wave guide | |
| 505 | 8 | |a 3.7. Successive reflexions of plane waves at two parallel rigid planes3.8. The relation between spherical and plane waves; 3.9. The reflexion of a spherical wave at a plane interface; 3.10. An alternative approach to Weyl's formula. Poritsky's generalisation; CHAPTER 4. ASYMPTOTIC METHODS; 4.1. Asymptotic expansion; 4.2. The asymptotic expansion of Hankel's functions in the neighborhood of the point at infinity; 4.3. The Laplace method; 4.4. Asymptotic relations and Laplace's transform; 4.5. The Laplace method (continued); 4.6. The method of steepest descent | |
| 505 | 8 | |a 4.7. Waves in linear dispersive media4.8. The asymptotic representation of the reflected wave in the problem of a spherical wave impinging on a plane interface. The lateral wave; 4.9. The method of steepest descent; an extension to the case when some pole is located near the saddle; 4.10. The asymptotic representation of Hankel's functions of large order; 4.11. An asymptotic representation of Legendre's functions of large order; 4.12. The asymptotic representation of Hankel's functions of large order (continued); CHAPTER 5. SCATTERING MATRIXTHEORY; 5.1. Introduction; 5.I. The direct problem | |
| 505 | 8 | |a 5. II. The inverse problemCHAPTER 6. FLOW IN OPEN CHANNEL; ASYMPTOTIC SOLUTION OF SOME LINEAR AND NON-LINEAR WAVE EQUATIONS; 6.I. The kinematics and dynamics of flow in open channel; 6. II. The asymptotic representation of the solution of the wave equation; 6. III. Non-linear wave theory; CHAPTER 7. SEISMIC WAVES; 7.1. Waves in elastic solids; 7.2. Plane waves; 7.3. Reflexion and refraction of plane elastic waves; 7.4. Waves of kind I, II, III; 7.5. Analytic representation of P and S waves; 7.6. The layered spherical model; 7.7. The energy balance | |
| 505 | 8 | |a 7.8. The reflexion and transmission coefficients7.9. The wave system in the layered spherical model; 7.10. The P, PcP, PcS, PKP waves produced by a point source located outside the core; 7.11. Application of the method of steepest descent to P and PcP wave integrals; 7.12. The diffracted PcP wave; CHAPTER 8. SOME PROBLEMS IN WATER WAVE THEORY; Introduction; 8.I. Oscillations in an infinite channel of variable depth; 8. II. A diffraction problem; REFERENCES; INDEX | |
| 546 | |a English. | ||
| 650 | 0 | |a Wave-motion, Theory of. | |
| 650 | 0 | |a Wave equation. | |
| 650 | 0 | |a Asymptotic expansions. | |
| 650 | 6 | |a Th�eorie du mouvement ondulatoire. |0 (CaQQLa)201-0015063 | |
| 650 | 6 | |a �Equation d'onde. | |
| 650 | 6 | |a D�eveloppements asymptotiques. |0 (CaQQLa)201-0019870 | |
| 650 | 6 | |a �Equations d'onde. |0 (CaQQLa)201-0022571 | |
| 650 | 7 | |a SCIENCE |x Earth Sciences |x Geography. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Earth Sciences |x Geology. |2 bisacsh | |
| 650 | 7 | |a Asymptotic expansions |2 fast |0 (OCoLC)fst00819868 | |
| 650 | 7 | |a Wave equation |2 fast |0 (OCoLC)fst01172869 | |
| 650 | 7 | |a Wave-motion, Theory of |2 fast |0 (OCoLC)fst01172888 | |
| 650 | 7 | |a Asymptotische Methode |2 gnd |0 (DE-588)4287476-2 | |
| 650 | 7 | |a Wellengleichung |2 gnd |0 (DE-588)4065315-8 | |
| 650 | 7 | |a Welle |2 gnd |0 (DE-588)4065310-9 | |
| 650 | 7 | |a Mouvement ondulatoire, Th�eorie du. |2 ram | |
| 650 | 7 | |a �Equations d'onde. |2 ram | |
| 650 | 7 | |a D�eveloppements asymptotiques. |2 ram | |
| 650 | 7 | |a Analyse. |2 ram | |
| 650 | 7 | |a Asymptotes. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Roseau, Maurice. |t Asymptotic wave theory. |d Amsterdam : North-Holland Pub. Co. ; New York : American Elsevier Pub. Co., 1976 |w (DLC) 74026167 |w (OCoLC)1859600 |
| 830 | 0 | |a North-Holland series in applied mathematics and mechanics ; |v v. 20. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780720423709 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00665479 |z Texto completo |