File : pdf, 17 MB, 277 pages
TOC
Introduction
1. Infinite Dimensional Manifolds
2 . Hamiltonian Systems
3 . Elliptic Operators and Function Spaces
4 . The Motion of an Incompressible Fluid
5 . Turbulence and Chorin’s formula
6 . Symmetry Groups in Mechanics
7 . Quantum Mechanical Systems
8 . Completeness Theorems and Nonlinear Wave Equations
9 . General Relativity as a Hamiltonian System
10 . Linearization Sta’bility of the Einstein Equations
Appendix: On the correspondence principle
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