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Waves And Distributions

By: Thordur Jonsson,Jakob Yngvason

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Waves And Distributions

By: Thordur Jonsson,Jakob Yngvason

This book begins with an introduction on continuum mechanics and a derivation of the linear partial differential equations for sound waves in fluids and elastic waves in solids. There is a brief chapter on the wave equations of electrodynamics. This is followed by a description of plane wave solutions and a discussion of concepts like reflection, refraction, polarization and the role of boundary conditions.The second part of the book deals with the theory and applications of distributions and Fourier transforms. Furthermore, dispersion, the method of stationary phase, Kramers-Kronig relations and various examples including surface waves on liquids are discussed.This text is unique because it emphasizes the use of distributions to analyze the solutions of the wave equation. The treatment of continuum mechanics is self-contained, as well as the discussion on distributions and Fourier transforms. In addition, many classical methods of theoretical physics are thoroughly discussed, e.g. the use of Green functions and multipole expansions.

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Page Count

203

Publisher

World Scientific

Published Date

ISBN 10

981310452X

ISBN 13

9789813104525

Waves & Distributions

By: Þórður Jónsson,Thordur Jonsson,Orur Jonsson,Jakob Yngvason

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Waves & Distributions

By: Þórður Jónsson,Thordur Jonsson,Orur Jonsson,Jakob Yngvason

This book begins with an introduction on continuum mechanics and a derivation of the linear partial differential equations for sound waves in fluids and elastic waves in solids. There is a brief chapter on the wave equations of electrodynamics. This is followed by a description of plane wave solutions and a discussion of concepts like reflection, refraction, polarization and the role of boundary conditions.The second part of the book deals with the theory and applications of distributions and Fourier transforms. Furthermore, dispersion, the method of stationary phase, Kramers-Kronig relations and various examples including surface waves on liquids are discussed.This text is unique because it emphasizes the use of distributions to analyze the solutions of the wave equation. The treatment of continuum mechanics is self-contained, as well as the discussion on distributions and Fourier transforms. In addition, many classical methods of theoretical physics are thoroughly discussed, e.g. the use of Green functions and multipole expansions.

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Page Count

186

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

9810209746

ISBN 13

9789810209742