Introduction to Symplectic Geometry (Hardcover, 1st ed. 2019)

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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Release date:	April 2019
First published:	2019
Authors:	Jean-Louis Koszul • Yiming Zou
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	121
Edition:	1st ed. 2019
ISBN-13:	978-981-13-3986-8
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics Books > Science & Mathematics > Physics > Classical mechanics > General
LSN:	981-13-3986-4
Barcode:	9789811339868

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