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＜電子ブック＞
Symplectic and Contact Geometry : A Concise Introduction / by Anahita Eslami Rad
(Latin American Mathematics Series. ISSN:25246763)

版	1st ed. 2024.
出版者	Cham : Springer Nature Switzerland : Imprint: Springer
出版年	2024
本文言語	英語
大きさ	X, 178 p. 56 illus., 4 illus. in color : online resource
著者標目	*Eslami Rad, Anahita author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Manifolds (Mathematics) FREE:Differential Geometry FREE:Manifolds and Cell Complexes
一般注記	Preface -- Symplectic linear algebra -- Symplectic manifolds -- Hamiltonian systems -- Contact manifolds -- References -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-031-56225-9

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