Articles liés à Wavefronts and Rays: As Characteristics and Asymptotics

Wavefronts and Rays: As Characteristics and Asymptotics - Couverture rigide

Bóna, Andrej; Slawinski, Michael A

 
9789814295512: Wavefronts and Rays: As Characteristics and Asymptotics
Couverture rigide
ISBN 10 : 9814295515 ISBN 13 : 9789814295512
Editeur : World Scientific Publishing Co Pte Ltd, 2011

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse

"This book ... leads the reader from the simple to the complex, but which also includes a variety of physical sciences applications. It is a bridge between mathematicians, mathematical physicists, and applied scientists in all fields who study wave propagation and employ ray theoretic methods." --The Leading Edge

The authors' emphasis of presenting the characteristics as hypersurfaces on which the side conditions cannot be arbitrarily fixed due to constrains of the differential equations is extremely important. Notably, it sheds new light on the eikonal equation. Also, the authors explain why the characteristics depend only on the highest derivatives of the differential equation, from where the similarity between the characteristics of elastodynamics and electromagnetism becomes apparent. This is an extremely good presentation of the theory of characteristics. --Albert Tarantola, Institut de Physique du Globe de Paris

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2011
Langue
anglais
ISBN 10 
9814295515
ISBN 13 
9789814295512
Reliure
Relié
Nombre de pages
296
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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