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Springer Mathematical Methods of Classical Mechanics - GTM 60

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Description

Master the mathematical foundations of classical mechanics with this advanced text from Springer. Part of the Graduate Texts in Mathematics series, this book provides a modern approach to dynamics by building a mathematical apparatus from the ground up. Instead of following traditional textbook methods, this work utilizes the geometry of manifolds to examine fundamental problems in the field. Readers will explore essential topics including the theory of oscillations, rigid body motion, and the Hamiltonian formalism. The text places a strong focus on geometrical considerations, covering vital concepts such as phase spaces, flows, vector fields, and Lie groups. This resource is designed for those seeking a deep understanding of qualitative methods in the theory of mechanics through a rigorous mathematical lens.

Key Features

Modern manifold geometry approach that distinguishes this text from traditional mechanics textbooks.

Comprehensive coverage of basic dynamics problems including oscillations and rigid body motion.

In-depth exploration of the Hamiltonian formalism and its mathematical applications.

Detailed focus on geometrical concepts such as phase spaces, flows, and vector fields.

Extensive discussion regarding Lie groups and qualitative methods of the theory.

Part of the respected Graduate Texts in Mathematics series (Volume 60) by Springer.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
16 May 1989
Listed Since
18 January 2007

Barcode

No barcode data available

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