Introduction to Symplectic Geometry By: Jean-Louis Koszul; Yi Ming Zou Publisher: Springer Print ISBN: 9789811339868, 9811339864 eText ISBN: 9789811339875, 9811339872 Copyright year: 2019 Format: EPUB Available from $ 74.99 USD SKU: 9789811339875 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. SKU: 9789811339868 Ebooks here: https://ebookscoffee.sellpass.io/products/Introduction-to-Symplectic-Geometry
