Differential Geometry and Mathematical Physics Part I. Manifolds, Lie Groups and Hamiltonian Systems /

• Κύριοι συγγραφείς: Rudolph, Gerd (Συγγραφέας), Schmidt, Matthias (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2013.
• Σειρά: Theoretical and Mathematical Physics,
• Θέματα: Physics.; Topological groups.; Lie groups.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Mechanics.; Mathematical Methods in Physics.; Global Analysis and Analysis on Manifolds.; Topological Groups, Lie Groups.; Differential Geometry.

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reductio...

Πίνακας περιεχομένων:

• 1 Differentiable manifolds
•  2 Vector bundles
•  3 Vector fields
•  4 Differential forms
•  5 Lie groups
•  6 Lie group actions
•  7 Linear symplectic algebra
•  8 Symplectic geometry
•  9 Hamiltonian systems
•  10 Symmetries
• 11 Integrability
• 12 Hamilton-Jacobi theory
•  References.