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

• Main Authors: Rudolph, Gerd (Author), Schmidt, Matthias (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2013.
• Series: Theoretical and Mathematical Physics,
• Subjects: 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...