| 书目名称 | Symplectic and Contact Geometry | | 副标题 | A Concise Introducti | | 编辑 | Anahita Eslami Rad | | 视频video | | | 概述 | Offers a succinct introduction to the topic, focusing on its relationship with Lie theory and classical mechanics.Covers symplectic linear algebra, Hamiltonian systems, Darboux‘ theorem, and Legendria | | 丛书名称 | Latin American Mathematics Series | | 图书封面 |  | | 描述 | .This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics...Organized into four chapters, this work serves as a stepping stone for readers to delve into the subject, providing a succinct and motivating foundation. The content covers definitions, symplectic linear algebra, symplectic and contact manifolds, Hamiltonian systems, and more. Prerequisite knowledge includes differential geometry, manifolds, algebraic topology, de Rham cohomology, and the basics of Lie groups. Quick reviews are included where necessary, and examples and constructions are provided to foster understanding..Ideal for advanced undergraduate students and graduate students, this volume can also serve as a valuable resource for independent researchers seeking a quick yet solid understanding of symplectic and contact geometry. | | 出版日期 | Textbook 2024 | | 关键词 | symplectic manifold; symplectic form; Hermitian form; Lagrangian submanifold; symplectomorphism; almost c | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-56225-9 | | isbn_softcover | 978-3-031-56227-3 | | isbn_ebook | 978-3-031-56225-9Series ISSN 2524-6755 Series E-ISSN 2524-6763 | | issn_series | 2524-6755 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:54:47
