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Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics

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"Mathematical Methods of Classical Mechanics" by V.I. Arnol'd is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

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Best For: Students and researchers in physics and applied mathematics focusing on classical mechanics.
Focus: Mathematical foundations and geometrical methods in classical mechanics, including dynamics, oscillations, and Hamiltonian formalism.
Covers: Basic problems in dynamics, phase spaces, vector fields, Lie groups, dynamical systems theory, and asymptotic methods such as averaging and adiabatic invariance.
Why It Matters: Provides a rigorous mathematical framework for understanding classical mechanics, emphasizing geometrical perspectives and advanced methods useful for theoretical and applied studies.

"Mathematical Methods of Classical Mechanics" by V.I. Arnol'd is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Dynamics

Author: V.I. Arnol'd

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 book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

AuthorV.I. Arnol'd
PublisherSpringer
Published2010-12-01
ISBN-139781441930873
BindingPaperback
Pages520
LanguageEnglish
SubjectsMathematics
TopicDynamics
SeriesGraduate Texts in Mathematics

Format: Paperback

Length: 520 pages

Language: English

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