rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Asymptotic wave theory
  name:
    name part: Roseau, Maurice.
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: New York
    publisher: North-Holland Pub. Co.
    publisher: American Elsevier Pub. Co.
    date issued: 1976
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (x, 349 pages) : illustrations
  table of contents: 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
  table of contents: 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
  table of contents: 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
  table of contents: 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
  table of contents: 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
  note: by Maurice Roseau.
  note: 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. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages 345-347) and index.
  note: English.
  subject:
    topic: Wave-motion, Theory of
  subject:
    topic: Wave equation
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Théorie du mouvement ondulatoire
  subject:
    topic: Équation d'onde
  subject:
    topic: Développements asymptotiques
  subject:
    topic: Équations d'onde
  subject:
    topic: SCIENCE
    topic: Earth Sciences
    topic: Geography
  subject:
    topic: SCIENCE
    topic: Earth Sciences
    topic: Geology
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Wave equation
  subject:
    topic: Wave-motion, Theory of
  subject:
    topic: Asymptotische Methode
  subject:
    topic: Wellengleichung
  subject:
    topic: Welle
  subject:
    topic: Mouvement ondulatoire, Théorie du
  subject:
    topic: Équations d'onde
  subject:
    topic: Développements asymptotiques
  subject:
    topic: Analyse
  subject:
    topic: Asymptotes
  subject:
    topic: ASYMPTOTES
  subject:
    topic: WAVE EQUATIONS
  subject:
    topic: WAVES
  subject:
    topic: Waves
    topic: Mathematics
  subject:
    topic: Wave equations
    topic: Asymptotic theory
  classification: QA371
  classification: 551/.1133
  classification: 515/.353
  classification: 31.80
  classification: SK 950
  classification: UF 5000
  classification: PB 81(W1)
  classification: QH 40
  classification: 35J05
  classification: 76B15
  related item:
    title info:
      title: Asymptotic wave theory
    name:
      name part: Roseau, Maurice.
    origin info:
      publisher: Amsterdam : North-Holland Pub. Co. ; New York : American Elsevier Pub. Co., 1976
    identifier: (DLC) 74026167
    identifier: (OCoLC)1859600
  related item:
    identifier: (DLC) 74026167
    identifier: (OCoLC)1859600
  related item:
    title info:
      title: North-Holland series in applied mathematics and mechanics ; v. 20
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  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101107
    record change date: 20260326184028.1
    record identifier: in00005746307
    language of cataloging:
      language term: eng