A Concise Introduction Eslami Rad, Anahita. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access X, 178 p. 56 illus., 4 illus. in color. online resource. 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. Preface -- Symplectic linear algebra -- Symplectic manifolds -- Hamiltonian systems -- Contact manifolds -- References -- Index. by Anahita Eslami Rad. Geometry, Differential Manifolds (Mathematics) Differential Geometry Manifolds and Cell Complexes QA641-670 9783031562259 https://doi.org/10.1007/978-3-031-56225-9 https://doi.org/10.1007/978-3-031-56225-9 240411 20251030111815.0 978-3-031-56225-9