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Symplectic and contact geometrya concise introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Symplectic and contact geometryby Anahita Eslami Rad.
Reminder of title:	a concise introduction /
Author:	Eslami Rad, Anahita.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	x, 178 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Symplectic geometry.
Online resource:	https://doi.org/10.1007/978-3-031-56225-9
ISBN:	9783031562259$q(electronic bk.)

Symplectic and contact geometrya concise introduction /
Eslami Rad, Anahita.

Symplectic and contact geometrya concise introduction /[electronic resource] :by Anahita Eslami Rad. - Cham :Springer Nature Switzerland :2024. - x, 178 p. :ill., digital ;24 cm. - Latin American mathematics series,2524-6763. - 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.

ISBN: 9783031562259$q(electronic bk.)

Standard No.: 10.1007/978-3-031-56225-9doiSubjects--Topical Terms:

468678
Symplectic geometry.

LC Class. No.: QA665

Dewey Class. No.: 516.36

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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.
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