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Introduction to Mechanics and Symmetry

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Cover of 'Introduction to Mechanics and Symmetry'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction and Overview
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    Chapter 2 Hamiltonian Systems on Linear Symplectic Spaces
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    Chapter 3 An Introduction to Infinite-Dimensional Systems
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    Chapter 4 Manifolds, Vector Fields, and Differential Forms
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    Chapter 5 Hamiltonian Systems on Symplectic Manifolds
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    Chapter 6 Cotangent Bundles
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    Chapter 7 Lagrangian Mechanics
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    Chapter 8 Variational Principles, Constraints, and Rotating Systems
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    Chapter 9 An Introduction to Lie Groups
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    Chapter 10 Poisson Manifolds
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    Chapter 11 Momentum Maps
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    Chapter 12 Computation and Properties of Momentum Maps
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    Chapter 13 Lie-Poisson and Euler-Poincaré Reduction
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    Chapter 14 Coadjoint Orbits
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    Chapter 15 The Free Rigid Body
Attention for Chapter 10: Poisson Manifolds
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