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Introduction to Symplectic Geometry on Hardback by Jean-Louis Koszul
Introduction to Symplectic Geometry on Hardback by Jean-Louis Koszul
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Introduction to Symplectic Geometry

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Description

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.

Author Biography:

Jean Louis Koszul, born in 1921, was a French Mathematician. He was a member of 2nd generation of Bourbaki, also a member of French Academy of Sciences.  Jean-Louis Koszul passed away on January 12th 2018, at the age of 97.
Release date Australia
April 26th, 2019
Audience
  • Professional & Vocational
Edition
1st ed. 2019
Illustrations
9 Illustrations, color; 10 Illustrations, black and white; L, 121 p. 19 illus., 9 illus. in color.
Pages
121
ISBN-13
9789811339868
Product ID
28824263

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