Introduction to Symplectic Geometry - Hardcover

Koszul

 
9789811339868: Introduction to Symplectic Geometry
Hardcover
ISBN 10: 9811339864 ISBN 13: 9789811339868
Verlag: Springer, 2019

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
9811339864
ISBN 13 
9789811339868
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
172
Kontakt zum Hersteller
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Deutschland

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9789811339882: Introduction to Symplectic Geometry

Vorgestellte Ausgabe

ISBN 10:  9811339880 ISBN 13:  9789811339882
Verlag: Springer, 2019
Softcover