Lectures on Symplectic Geometry pdf epub mobi txt 電子書 下載2025
- 數學
- 幾何
- symplectic
- geometry
- 數學-辛幾何
- mathematics
- 微分幾何7
- 學術讀物
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
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很好的入門書
评分很好的入門書
评分1764 教材，1-17章。淺顯
评分基本是科普 沒什麼用 把學過的但沒名字的東西 加上名字 就是本書瞭 適閤學完後飆名詞
评分1764 教材，1-17章。淺顯
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