Differential Geometry and Mathematical Physics W. Vogel & M. Büttner GmbH Das stellt ihn in wachsendem

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Differential Geometry and Mathematical Physics W. Vogel & M. Büttner GmbH Das stellt ihn in wachsendemStarting 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