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Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

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Cover of 'Introduction to Hamiltonian Dynamical Systems and the N-Body Problem'

Table of Contents

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    Book Overview
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    Chapter 1 Hamiltonian Systems
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    Chapter 2 Equations of Celestial Mechanics
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    Chapter 3 Linear Hamiltonian Systems
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    Chapter 4 Topics in Linear Theory
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    Chapter 5 Exterior Algebra and Differential Forms
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    Chapter 6 Symplectic Transformations
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    Chapter 7 Special Coordinates
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    Chapter 8 Geometric Theory
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    Chapter 9 Continuation of Solutions
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    Chapter 10 Normal Forms
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    Chapter 11 Bifurcations of Periodic Orbits
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    Chapter 12 Variational Techniques
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    Chapter 13 Stability and KAM Theory
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    Chapter 14 Twist Maps and Invariant Circle
Attention for Chapter 5: Exterior Algebra and Differential Forms
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