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Wavefronts and Rays as Characteristics and Asymptotics

Wavefronts and Rays as Characteristics and Asymptotics

Hardcover

Physics

ISBN10: 9814295515
ISBN13: 9789814295512
Publisher: World Scientific Publishing Company
Published: May 23 2011
Pages: 296
Weight: 1.25
Height: 0.80 Width: 6.30 Depth: 9.00
Language: English
This textbook -- incorporated with many illuminating examples and exercises -- is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors' emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation -- by a pure mathematician's standards -- is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and the phenomena such as caustics.

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