Wavefronts and Rays: As Characteristics and Asymptotics: Second Edition - Rilegato

Bóna, Andrej; Slawinski, Michael A.

Rilegato

ISBN 10: 9814644781 ISBN 13: 9789814644785

Casa editrice: World Scientific Pub Co Inc, 2015

Riassunto

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 phenomena such as caustics.

Su questo libro

Recensione

I thought I knew everything I needed to know about characteristics and their role in the solution of partial differential equations. After reading this book, I discovered that I was wrong. The authors draw us along on an incredible mathematical journey by starting from simple examples and moving on to progressively more sophisticated examples. Thus, the authors provide the community interested in wave propagation with a new set of insights and tools to carry on with their research. In this new edition, the authors have refined some of the discussions of the first edition and added some extremely informative appendices of mathematical derivations of mathematical concepts that are fundamental to this book. On the one hand, for much of the audience of the book, this information may already be known. However, for others, it may not be known. Readers may have used the mathematics while not knowing origin and derivation of the formulations present therein. For those readers, they are most valuable. --Norman Bleistein, Center for Wave Phenomena, Colorado School of Mines, USA

I like this book for the style that leads the reader from the simple to the complex, but which also includes a variety of physical sciences applications. The treatment is kept at a level of mathematics that is useful for the physical scientist, providing insight to many of the issues encountered in applications. It is a bridge between mathematicians, mathematical physicists, and applied scientists in all fields who study wave propagation and employ ray theoretic methods. In this second edition, the authors have made many refinements that improve the treatment of the material, and they have expanded the appendices to make the text more self-contained. --John Stockwell, Center for Wave Phenomena, Colorado School of Mines, USA

Each chapter of the book contains examples motivating the study and a set of solved exercises. --Zentralblatt MATH

Dettagli dell'edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 9814644781
• ISBN 13: 9789814644785
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 319
• Contatto del produttore: non disponibile
• Persona responsabile: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Germania