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Elementary Symplectic Topology and Mechanics

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Cover of 'Elementary Symplectic Topology and Mechanics'

Table of Contents

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    Book Overview
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    Chapter 1 Notes on Differential Geometry
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    Chapter 2 Symplectic Manifolds
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    Chapter 3 Poisson Brackets Environment
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    Chapter 4 Cauchy Problem for Hamilton-Jacobi Equations
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    Chapter 5 Calculus of Variations, Conjugate Points and Morse Index
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    Chapter 6 A Short Introduction to the Asymptotic Theory of Rapidly Oscillating Integrals
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    Chapter 7 Notes on Lusternik-Schnirelman and Morse Theories
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    Chapter 8 Finite Exact Reductions
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    Chapter 9 Other Instances: Generalized Elasticity
Attention for Chapter 1: Notes on Differential Geometry
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