Foundations of Mechanics

Couverture
American Mathematical Soc., 2008 - 826 pages
A reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics. It offers a treatment of geometric mechanics. It is also suitable as a textbook for the foundations of differentiable and Hamiltonian dynamics.
 

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Table des matières

PART PRELIMINARIES
1
Calculus on Manifolds
60
ANALYTICAL DYNAMICS 1 59
159
Chapter 8
207
3
248
Hamiltonian Systems with Symmetry
253
2
292
8
304
A Zoo of Stable Bifurcations
595
The General Pathology
606
The TwoBody Problem
619
The Delaunay Variables
631
Whittakers Method
638
Poincare Variables
647
Exercise
656
The ThreeBody Problem
663

0
341
2
357
HamiltonJacobi Theory and Mathematical Physics
370
AN OUTLINE OF QUALITATIVE DYNAMICS
507
Ditlerentiable Dynamics
520
Hamiltonian Dynamics
572
Exercises
579
Exercises
587
Exercises
673
Exercises
687
Exercises
699
Blbllography
759
Index
791
Glossary of Symbols
807
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