Symplectic and Contact Geometry by Eslami Rad, Anahita;

A Concise Introduction

Series: Latin American Mathematics Series;

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Product details:

Edition number 2024
Publisher Springer Nature Switzerland
Date of Publication 12 April 2024
Number of Volumes 1 pieces, Book

ISBN 9783031562242
Binding Hardback
No. of pages178 pages
Size 235x155 mm
Language English
Illustrations X, 178 p. 56 illus., 4 illus. in color. Illustrations, black & white

Long description:

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.