Wavefronts and Rays as Characteristics and Asymptotics

Nonfiction, Science & Nature, Science, Physics, Dynamics, Earth Sciences, Geophysics
Cover of the book Wavefronts and Rays as Characteristics and Asymptotics by Michael A Slawinski, Andrej Bóna, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Michael A Slawinski, Andrej Bóna ISBN: 9789814651554
Publisher: World Scientific Publishing Company Publication: December 30, 2014
Imprint: WSPC Language: English
Author: Michael A Slawinski, Andrej Bóna
ISBN: 9789814651554
Publisher: World Scientific Publishing Company
Publication: December 30, 2014
Imprint: WSPC
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 phenomena such as caustics.

Contents:

  • Characteristic Equations of First-Order Linear Partial Differential Equations
  • Characteristic Equations of Second-Order Linear Partial Differential Equations
  • Characteristic Equations of First-Order Nonlinear Partial Differential Equations
  • Propagation of Discontinuities for Linear Partial Differential Equations
  • Caustics

Readership: Theoretical seismologists, physicists and mathematicians interested in seismology.
Key Features:

  • This book is a bridge between mathematicians, mathematical physicists, and applied scientists in all fields who study wave propagation and employ ray theoretic methods
  • This second, extended edition includes a new appendix/chapter on Green's functions
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Theoretical seismologists, physicists and mathematicians interested in seismology.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Teaching and Learning with Technology by Michael A Slawinski, Andrej Bóna
Cover of the book Algal and Cyanobacteria Symbioses by Michael A Slawinski, Andrej Bóna
Cover of the book Optimization Theory by Michael A Slawinski, Andrej Bóna
Cover of the book Leverage Innovation Capability by Michael A Slawinski, Andrej Bóna
Cover of the book Chemical Theory beyond the Born-Oppenheimer Paradigm by Michael A Slawinski, Andrej Bóna
Cover of the book Risk, Value and Default by Michael A Slawinski, Andrej Bóna
Cover of the book A History of Food Culture in China by Michael A Slawinski, Andrej Bóna
Cover of the book Mathematical Modelling by Michael A Slawinski, Andrej Bóna
Cover of the book Advanced Finance Theories by Michael A Slawinski, Andrej Bóna
Cover of the book Practical Signal Processing and Its Applications by Michael A Slawinski, Andrej Bóna
Cover of the book Truth and Assertibility by Michael A Slawinski, Andrej Bóna
Cover of the book Golden Dragon and Purple Phoenix by Michael A Slawinski, Andrej Bóna
Cover of the book Luminous Pursuit by Michael A Slawinski, Andrej Bóna
Cover of the book Graph Theory by Michael A Slawinski, Andrej Bóna
Cover of the book China and the Group 20 by Michael A Slawinski, Andrej Bóna
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy