Title Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems Author(s) Rudolph, Gerd;Schmidt, Matthias Publication Dordrecht, Springer Netherlands, 2013. Description XIV, 762 p : online resource Abstract Note 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 reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact ISBN,Price 9789400753457 Keyword(s) 1. CLASSICAL MECHANICS 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. GLOBAL ANALYSIS (MATHEMATICS) 6. Global Analysis and Analysis on Manifolds 7. LIE GROUPS 8. Manifolds (Mathematics) 9. Mathematical Methods in Physics 10. MECHANICS 11. PHYSICS 12. TOPOLOGICAL GROUPS 13. Topological Groups, Lie Groups Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I06330     On Shelf