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Mathematical Methods of Classical Mechanics (1989. Corr. 4th Printing 1997)

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 and dynamical systems.
Focus: Developing the mathematical framework underlying classical mechanics, including dynamics, oscillations, and Hamiltonian formalism.
Covers: Geometrical aspects such as phase spaces, vector fields, Lie groups, and qualitative and asymptotic methods in dynamical systems.
Why It Matters: Provides a rigorous mathematical foundation for classical mechanics, facilitating deeper understanding of dynamical systems and their behavior.

"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 Science & Business Media
Published1997-09-05
ISBN-139780387968902
BindingHardcover
Pages552
LanguageEnglish
SubjectsMathematics
TopicDynamics
SeriesGraduate Texts in Mathematics

Format: Hardcover

Length: 552 pages

Language: English

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