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Wavefronts and Rays as Characteristics and Asymptotics
Contributor(s): Andrej Bona & Michael a Slawinski (Author)
ISBN: 9814295515     ISBN-13: 9789814295512
Publisher: World Scientific Publishing Company
OUR PRICE:   $85.50  
Product Type: Hardcover
Published: May 2011
Qty:
Additional Information
BISAC Categories:
- Science | Waves & Wave Mechanics
- Science | Mechanics - Dynamics
- Science | Physics - Mathematical & Computational
Dewey: 539.722
Physical Information: 0.8" H x 6.3" W x 9" (1.25 lbs) 296 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
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.