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Chaos and Integrability in Nonlinear Dynamics: An Introduction

Chaos and Integrability in Nonlinear Dynamics

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"Chaos and Integrability in Nonlinear Dynamics" by Michael Tabor is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.

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Best For: Students and researchers in physics focusing on nonlinear dynamics and classical mechanics.
Focus: Explores chaos theory within nonlinear dynamics through the framework of Hamiltonian systems and integrability.
Covers: Integrability in Hamiltonian systems, nonintegrable dynamics, the KAM theorem, integrable partial differential equations, and soliton dynamics.
Why It Matters: Provides a foundational understanding of how chaos emerges from classical mechanics, linking traditional differential equations to modern nonlinear dynamics concepts.

"Chaos and Integrability in Nonlinear Dynamics" by Michael Tabor is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Dynamics

Author: Michael Tabor

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.

Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.

AuthorMichael Tabor
PublisherWiley-Interscience
Published1989-01-18
ISBN-139780471827283
BindingHardcover
Pages392
LanguageEnglish
SubjectsMathematics
TopicDynamics

Format: Hardcover

Length: 392 pages

Language: English

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