Introduction to Symplectic Geometry

Language: English

Published by Springer Verlag, Singapore, SG, 2019

9811339864 / 9789811339868

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This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters:  Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.This book is also inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau's tools related to the non-equivariant case of co-adjoint action on Souriau's moment map through Souriau's Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric.

Seller Inventory # LU-9789811339868

Title
Introduction to Symplectic Geometry
Author
Jean-Louis Koszul, Yi Ming Zou
Publisher
Springer Verlag, Singapore, SG
Publication year
2019
Condition
New
Binding
Hardback
Language
English
ISBN 10
9811339864
ISBN 13
9789811339868
Edition
2019 ed.

Rarewaves.com USA

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