Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems
Rudolph, G. and Schmidt, M.
Starting from undergraduate level, this book systematically develops the basics of - Analysis on manifolds, Lie groups and G-manifolds (including equivariant dynamics) - Symplectic algebra and geometry, Hamiltonian systems, symmetries and reduction, - Integrable systems, Hamilton-Jacobi theory (including Morse families, the Maslov class and caustics). The first item is relevant for virtually all areas of mathematical physics, while the second item provides the basis of Hamiltonian mechanics. The last item introduces to important special areas. Necessary background knowledge on topology is prov
體積:
1
年:
2013
出版商:
Springer Netherlands
語言:
english
頁數:
765
ISBN 10:
9400753454
ISBN 13:
9789400753457
系列:
Theoretical and Mathematical Physics
文件:
PDF, 10.37 MB
IPFS:
,
english, 2013
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