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Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems by Matthias Schmidt, Gerd Rudolph (Hardcover, 2012)

About this product

About this product

Product Information

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.

Product Identifiers

Publisher
Springer
ISBN-13
9789400753440
eBay Product ID (ePID)
128970714

Product Key Features

Author
Matthias Schmidt, Gerd Rudolph
Publication Name
Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems
Format
Hardcover
Language
English
Subject
Mechanics, Mathematics, Physics
Publication Year
2012
Type
Textbook
Number of Pages
762 Pages

Dimensions

Item Height
235mm
Item Width
155mm

Additional Product Features

Title_Author
Gerd Rudolph, Matthias Schmidt
Series Title
Theoretical and Mathematical Physics
Country/Region of Manufacture
Netherlands

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