Waves And Distributions - Thordur Jonsson

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Waves And Distributions

By: Thordur Jonsson, Jakob Yngvason

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Hardcover | 1 May 1995

At a Glance

Hardcover
196 Pages

Dimensions(cm)
22.86 x 16.51 x 1.91

Hardcover

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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.

Industry Reviews

"... the authors have written clearly about the material they have selected and the knowledgeable should find it straightforward reading. It could serve as a valuable notebook for a student who has already taken a course on the subject matter ..." D S Fones Journal of Fluid Mechanics "It provides a rigorous and comprehensive, yet concise treatment of the mathematics needed to deal with acoustics and wave phenomena in general ... a useful book on the mathematics of wave phenomena, covering almost all aspects of the subject." Peter F Dobbins FIOA Acoustics Bulletin, 1996

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Booktopia Publisher Services World Scientific Publishing Statistical Physics

Preface
Mechanics of Continua and Elastic Waves	p. 1
Maxwell's Equations and Electromagnetic Waves	p. 35
Plane Waves	p. 42
Distributions and Fourier Analysis	p. 58
Waves in Homogeneous Media	p. 94
Dispersion	p. 147
Table of Contents provided by Blackwell. All Rights Reserved.

Waves And Distributions

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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