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1.

図書
図書
1. Huygens' principle and hyperbolic equations
Paul Günther
出版情報: Boston ; Tokyo : Academic Press, c1988  lvii, 847 p. ; 24 cm
シリーズ名: Perspectives in mathematics ; v. 5
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2.

図書
図書
2. An introduction to the mathematical theory of waves
Roger Knobel
出版情報: Providence, R.I. : American Mathematical Society , Princeton, N.J. : Institute for Advanced Study, c2000  xiv, 196 p. ; 22 cm
シリーズ名: Student mathematical library ; v. 3 . IAS/Park City mathematical subseries
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目次情報: 続きを見る
Introduction
Introduction to waves
A mathematical representation of waves
Partial differential equation
Traveling and standing waves: Traveling waves
The Korteweg-de Vries equation
The Sine-Gordon equation
The wave equation D'Alembert's solution of the wave equation
Vibrations of a semi-infinite string
Characteristic lines of the wave equation
Standing wave solutions of the wave equation
Standing waves of a nonhomogeneous string
Superposition of standing waves
Fourier series and the wave equation
Waves in conservation laws: Conservation laws
Examples of conservation laws
The method of characteristics
Gradient catastrophes and breaking times
Shock waves Shock wave example: Traffic at a red light
Shock waves and the viscosity method
Rarefaction waves An example with rarefaction and shock waves
Nonunique solutions and the entropy condition
Weak solutions of conservation laws
Bibliography
Index
Introduction
Introduction to waves
A mathematical representation of waves
3.

図書
図書
3. Nonlinear wave dynamics : complexity and simplicity
by Jüri Engelbrecht
出版情報: Dordrecht : Kluwer Academic Publishers, c1997  xiv, 183 p. ; 25 cm
シリーズ名: Kluwer texts in the mathematical sciences ; v. 17
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4.

図書
図書
4. Recent mathematical methods in nonlinear wave propagation : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.), held in Montecatini Terme, Italy, May 23-31, 1994
G. Bolliat [sic.] ... [et al.] ; editor, T. Ruggeri
出版情報: Berlin : Springer, c1996  142 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1640 . Fondazione C.I.M.E.
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5.

図書
図書
5. Mathematical papers of George Green
edited by N.M. Ferrers
出版情報: Bronx, N.Y. : Chelsea Pub. Co, 1970  x, 336 p. ; 21 cm
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目次情報: 続きを見る
An essay on the application of mathematical analysis to the theories of electricity and magnetism
Preface
Introductory observations
General preliminary results
Application of the preceding results to the theory of electricity Application of the preliminary results to the theory of magnetism
Mathematical investigations concerning the laws of the equilibrium of fluids analogous to the electric fluid, with other similar researches
On the determination of the exterior and interior attractions of ellipsoids of variable densities
On the motion of waves in a variable canal of small depth and width On the reflexion and refraction of sound
On the laws of the reflexion and refraction of light at the common surface of two non-crystallized media
Note on the motion of waves in canals Supplement to a memoir on the reflexion and refraction of light
On the propagation of light in crystallized media Researches on the vibration of pendulums in fluid media
Appendix
An essay on the application of mathematical analysis to the theories of electricity and magnetism
Preface
Introductory observations
6.

図書
図書
6. Introduction to elastic wave propagation (: pbk.)
A. Bedford, D.S. Drumheller
出版情報: Chichester ; New York : Wiley, c1994  xiii, 297 p. ; 24 cm
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目次情報: 続きを見る
Linear Elasticity
One-Dimensional Waves
Steady-State Waves
Transient Waves
Nonlinear Wave Propagation
Appendices
Bibliography
Solutions to Exercises
Index
Linear Elasticity
One-Dimensional Waves
Steady-State Waves
7.

図書
図書
7. Mathematical papers of the late George Green, Fellow of Gonville and Caius College, Cambridge
edited by N.M. Ferrers
出版情報: London : Macmillan, 1871  x, 336 p. ; 23 cm
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