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Wavefronts and Rays as Characteristics and Asymptotics

Wavefronts and Rays as Characteristics and Asymptotics

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"Wavefronts and Rays as Characteristics and Asymptotics" by Andrej B¢na, 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 the phenomena such as caustics.

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Best For: Graduate students in physical sciences and engineering
Focus: Theoretical foundations and mathematical treatment of rays and wavefronts
Covers: Physics concepts and mathematics related to rays, characteristics, and asymptotic methods
Why It Matters: Provides a coherent link between physics and mathematics for understanding wave phenomena

"Wavefronts and Rays as Characteristics and Asymptotics" by Andrej B¢na, 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 B¢na, 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 the phenomena such as caustics.

AuthorAndrej B¢na, Michael A. Slawinski
PublisherWorld Scientific
Published2011
ISBN-139789814295512
BindingHardcover
Pages295
LanguageEnglish
SubjectsScience
TopicCosmology

Format: Hardcover

Length: 295 pages

Language: English

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