Elementary Symplectic Topology and Mechanics /
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Series: | Lecture Notes of the Unione Matematica Italiana,
16 |
| Subjects: | |
| Online Access: | Click here to view the full text content |
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Table of Contents:
- Beginning
- Notes on Differential Geometry
- Symplectic Manifolds
- Poisson brackets environment
- Cauchy Problem for H-J equations
- Calculus of Variations and Conjugate Points
- Asymptotic Theory of Oscillating Integrals
- Lusternik-Schnirelman and Morse
- Finite Exact Reductions
- Other instances
- Bibliography.