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Singularities and Oscillations (Softcover Reprint of the Original 1st 1997)

Singularities and Oscillations

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"Singularities and Oscillations" by Jeffrey Rauch, Michael Taylor is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.

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Best For: Students and researchers in physics and applied mathematics focusing on wave phenomena and boundary effects.
Focus: Theoretical and mathematical analysis of wave propagation, singularities, oscillations, and boundary layer behavior in physical media.
Covers: Formation of caustics, wave propagation at boundaries, viscous boundary layers, high-frequency electromagnetic waves in dielectric and semiconducting media, and microlocal analysis in nonlinear contexts.
Why It Matters: Provides a rigorous mathematical framework for understanding complex wave behaviors and boundary interactions relevant to physics and engineering applications.

"Singularities and Oscillations" by Jeffrey Rauch, Michael Taylor is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Dynamics

Author: Jeffrey Rauch, Michael Taylor

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 volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers. It examines the foundations of the theory of high- frequency electromagnetic waves in a dielectric or semiconducting medium. Nor are unifying themes entirely absent from nonlinear analysis: one chapter considers microlocal analysis, including paradifferential operator calculus, on Morrey spaces, and connections with various classes of partial differential equations.

AuthorJeffrey Rauch, Michael Taylor
PublisherSpringer
Published2012-09-27
ISBN-139781461273622
BindingPaperback
LanguageEnglish
SubjectsScience
TopicDynamics
SeriesIMA Volumes in Mathematics and Its Applications

Format: Paperback

Language: English

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