Symplectic and contact geometry: a concise introduction
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 subjec...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2024]
|
| Ausgabe: | 2024 |
| Schriftenreihe: | Latin American mathematics series
|
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | Preface.- Symplectic linear algebra.- Symplectic manifolds.- Hamiltonian systems.- Contact manifolds.- References.- Index. |
| Beschreibung: | x, 178 Seiten Illustrationen 235 mm |
| ISBN: | 9783031562242 |
Internformat
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| 490 | 0 | |a Latin American mathematics series | |
| 500 | |a Preface.- Symplectic linear algebra.- Symplectic manifolds.- Hamiltonian systems.- Contact manifolds.- References.- Index. | ||
| 520 | |a 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 | ||
| 650 | 4 | |a bicssc | |
| 650 | 4 | |a bisacsh | |
| 650 | 4 | |a Manifolds (Mathematics) | |
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Datensatz im Suchindex
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| id | DE-604.BV049679179 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T07:55:04Z |
| institution | BVB |
| isbn | 9783031562242 |
| language | English |
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| spelling | Eslami Rad, Anahita Verfasser aut Symplectic and contact geometry a concise introduction Anahita Eslami Rad Cham Springer [2024] x, 178 Seiten Illustrationen 235 mm txt rdacontent n rdamedia nc rdacarrier Latin American mathematics series 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 bicssc bisacsh Manifolds (Mathematics) Geometry, Differential Hardcover, Softcover / Mathematik/Geometrie Erscheint auch als Online-Ausgabe 978-3-031-56225-9 |
| spellingShingle | Eslami Rad, Anahita Symplectic and contact geometry a concise introduction bicssc bisacsh Manifolds (Mathematics) Geometry, Differential |
| title | Symplectic and contact geometry a concise introduction |
| title_auth | Symplectic and contact geometry a concise introduction |
| title_exact_search | Symplectic and contact geometry a concise introduction |
| title_full | Symplectic and contact geometry a concise introduction Anahita Eslami Rad |
| title_fullStr | Symplectic and contact geometry a concise introduction Anahita Eslami Rad |
| title_full_unstemmed | Symplectic and contact geometry a concise introduction Anahita Eslami Rad |
| title_short | Symplectic and contact geometry |
| title_sort | symplectic and contact geometry a concise introduction |
| title_sub | a concise introduction |
| topic | bicssc bisacsh Manifolds (Mathematics) Geometry, Differential |
| topic_facet | bicssc bisacsh Manifolds (Mathematics) Geometry, Differential |
| work_keys_str_mv | AT eslamiradanahita symplecticandcontactgeometryaconciseintroduction |