Wavefronts and rays as characteristics and asymptotics
 Author/Creator
 Bóna, Andrej.
 Language
 English.
 Imprint
 Singapore ; Hackensack, NJ : World Scientific, c2011.
 Physical description
 xvii, 276 p. : ill. ; 24 cm.
Access
Available online

Stacks

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QA377 .B685 2011

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QA377 .B685 2011
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Contributors
 Contributor
 Slawinski, M. A. (Michael A.), 1961
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 263265) and index.
 Contents

 Characteristic Equations of FirstOrder Linear Partial Differential Equations Characteristic Equations of SecondOrder Linear Partial Differential Equations Characteristic Equations of FirstOrder Nonlinear Partial Differential Equations Propagation of Discontinuities Caustics.
 (source: Nielsen Book Data)
 Publisher's Summary
 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Responsibility
 Andrej Bóna, Michael A. Slawinski.
 ISBN
 9789814295512
 9814295515