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Time-Domain Scattering by P. A. Martin (Colorado School of Mines) at Abbey's Bookshop,
Time-Domain Scattering
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P. A. Martin (Colorado School of Mines)

Time-Domain Scattering

P. A. Martin (Colorado School of Mines)

$141.95

Hardback

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English
Cambridge University Press
24 June 2021
Differential calculus & equations; Mathematical modelling; Fluid mechanics; Wave mechanics (vibration & acoustics); Acoustic & sound engineering
Series: Encyclopedia of Mathematics and its Applications
The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers.
By:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 234mm,  Width: 156mm,  Spine: 19mm
Weight:   588g
ISBN:   9781108835596
ISBN 10:   1108835597
Series:   Encyclopedia of Mathematics and its Applications
Pages:   267
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
1. Acoustics and the Wave Equation; 2. Wavefunctions; 3. Characteristics and Discontinuities; 4. Initial-boundary Value Problems; 5. Use of Laplace Transforms; 6. Problems with Spherical Symmetry; 7. Scattering by a Sphere; 8. Scattering Frequencies and the Singularity Expansion Method; 9. Integral Representations; 10. Integral Equations; References; Citation Index; Index.

P. A. Martin is Professor in the Department of Applied Mathematics and Statistics at Colorado School of Mines. He was the Editor-in-Chief of the SIAM Journal on Applied Mathematics and is the author of Multiple Scattering (Cambridge, 2006).

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