Overview: Provides profound yet compact knowledge in manifolds, tensor fields, differential forms, Lie groups, G-manifolds and symplectic algebra and geometry for theoretical physicists.Prepares the reader to a.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 i
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