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Wavefronts and Rays as Characteristics and Asymptotics (2nd Edition) (Revised)

Wavefronts and Rays

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"Wavefronts and Rays" by Andrej Bóna, Michael A. Slawinski is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

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.

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Best For: Graduate students in physical sciences and engineering focusing on wave mechanics and dynamics.
Focus: Theoretical and mathematical foundations of rays and wavefronts using the theory of characteristics.
Covers: Physics and mathematics concepts related to rays, wavefronts, and their asymptotic behavior, with examples and exercises.
Why It Matters: Provides a coherent treatment bridging mathematics and physics, essential for understanding wave propagation and related phenomena.

"Wavefronts and Rays" by Andrej Bóna, Michael A. Slawinski is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Cosmology

Author: Andrej Bóna, Michael A. Slawinski

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorAndrej Bóna, Michael A. Slawinski
PublisherWorld Scientific Publishing Company Incorporated
Published2014-12-31
ISBN-139789814644785
BindingHardcover
Pages319
LanguageEnglish
SubjectsScience
TopicCosmology

Format: Hardcover

Length: 319 pages

Language: English

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