02983nam a22005175i 4500 978-3-031-56225-9 DE-He213 20251030111815.0 cr nn 008mamaa 240411s2024 sz | s |||| 0|eng d 9783031562259 978-3-031-56225-9 10.1007/978-3-031-56225-9 doi QA641-670 PBMP bicssc MAT012030 bisacsh PBMP thema Eslami Rad, Anahita. author. aut http://id.loc.gov/vocabulary/relators/aut 75037 Symplectic and Contact Geometry [electronic resource] : A Concise Introduction / by Anahita Eslami Rad. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. X, 178 p. 56 illus., 4 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Latin American Mathematics Series, 2524-6763 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. Geometry, Differential. 69684 Manifolds (Mathematics). 69683 Differential Geometry. 69686 Manifolds and Cell Complexes. 73090 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031562242 Printed edition: 9783031562266 Printed edition: 9783031562273 Latin American Mathematics Series, 2524-6763 75038 https://doi.org/10.1007/978-3-031-56225-9 ZDB-2-SMA ZDB-2-SXMS 59080 59080