Ralph Abraham, Jerrold Marsden

Foundations of Mechanics

• Gebundenes Buch

Produktbeschreibung

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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Produktdetails

• AMS Chelsea Publishing
• Verlag: American Mathematical Society
• 2 Revised edition
• Seitenzahl: 826
• Erscheinungstermin: 30. Mai 2008
• Englisch
• Abmessung: 261mm x 188mm x 48mm
• Gewicht: 1632g
• ISBN-13: 9780821844380
• Artikelnr.: 48534017

Inhaltsangabe

Part I: Preliminaries 1. Differential Theory 2. Calculus on Manifolds Part
II: Analytical Dynamics 3. HamiHonlan and Lagrangian Systems 4. Hamiltonian
Systems with Symmetry 5. Hamilton-Jacobi Theory and Mathematical Physics
Part III: An Outline of Qualitative Dynamics 6. Topological Dynamics 7.
Differentiable Dynamics 8. Hamiltonian Dynamics Part IV: Celestial
Mechanics 9. The Two-Body Problem 10. The Three-Body Problem

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Part I: Preliminaries 1. Differential Theory 2. Calculus on Manifolds Part II: Analytical Dynamics 3. HamiHonlan and Lagrangian Systems 4. Hamiltonian Systems with Symmetry 5. Hamilton-Jacobi Theory and Mathematical Physics Part III: An Outline of Qualitative Dynamics 6. Topological Dynamics 7. Differentiable Dynamics 8. Hamiltonian Dynamics Part IV: Celestial Mechanics 9. The Two-Body Problem 10. The Three-Body Problem