Introduction to analytical dynamics
著者
書誌事項
Introduction to analytical dynamics
（Springer undergraduate mathematics series）
Springer, c2009
New ed
- : pbk
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注記
Includes bibliographical references (p. 235-236) and index
内容説明・目次
内容説明
First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton's laws through Lagrange's equations and Hamilton's principle, to Hamilton's equations and canonical transformations.
This new edition has been extensively revised and updated to include:
A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations.
A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles.
A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics.
A wealth of examples show the subject in action and a range of exercises - with solutions - are provided to help test understanding.
目次
- Frames of Reference.- One Degree of Freedom.- Lagrangian Mechanics.- Noether#x2019
- s Theorem.- Rigid Bodies.- Oscillations.- Hamiltonian Mechanics.- Geometry of Classical Mechanics.- Epilogue: Relativity and Quantum Theory.
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