UID:
almahu_9949723944702882
Umfang:
X, 178 p. 56 illus., 4 illus. in color.
,
online resource.
Ausgabe:
1st ed. 2024.
ISBN:
9783031562259
Serie:
Latin American Mathematics Series,
Inhalt:
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.
Anmerkung:
Preface -- Symplectic linear algebra -- Symplectic manifolds -- Hamiltonian systems -- Contact manifolds -- References -- Index.
In:
Springer Nature eBook
Weitere Ausg.:
Printed edition: ISBN 9783031562242
Weitere Ausg.:
Printed edition: ISBN 9783031562266
Weitere Ausg.:
Printed edition: ISBN 9783031562273
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1007/978-3-031-56225-9
URL:
https://doi.org/10.1007/978-3-031-56225-9
URL:
Volltext
(URL des Erstveröffentlichers)
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