Latin American Mathematics Series: A Concise Introduction

Eslami Rad, Anahita

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.

Details

Published by: Springer

Publication Date: 2025-04-12

Format: Paperback

ISBN-13: 9783031562273

DOI: 10.1007/978-3-031-56225-9

Dimensions: 235cm x155cm

Pages: 178