Articles liés à A Brief Introduction to Symplectic and Contact Manifolds

A Brief Introduction to Symplectic and Contact Manifolds - Couverture rigide

Banyaga, Augustin; Houenou, Djideme F

 
9789814696708: A Brief Introduction to Symplectic and Contact Manifolds

Synopsis

The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.

We begin with the linear theory, then give the definition of symplectic manifolds and some basic examples, review advanced calculus, discuss Hamiltonian systems, tour rapidly group and the basics of contact geometry, and solve problems in chapter 8. The material just described can be used as a one semester course on Symplectic and Contact Geometry.

The book contains also more advanced material, suitable to advanced graduate students and researchers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.

We begin with the linear theory, then give the definition of symplectic manifolds and some basic examples, review advanced calculus, discuss Hamiltonian systems, tour rapidly group and the basics of contact geometry, and solve problems in chapter 8. The material just described can be used as a one semester course on Symplectic and Contact Geometry.

The book contains also more advanced material, suitable to advanced graduate students and researchers.

Revue de presse

This book provides a brief and compact introduction to the study of symplectic and contact manifolds. The material in Chapters 1 to 6 is elementary and suitable for a one-semester first-year graduate course, while the Epilogue and Appendix B deal with a more advanced topic, providing an introduction to a very active area of current research. --Mathematical Reviews Clippings

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.