Product Description

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the underlying geometry of integrable Hamiltonian systems. Includes exercises designed to complement the expositiont, and up-to-date references.

Product Details

• Amazon Sales Rank: #895320 in Books
• Published on: 2003-06-04
• Original language: English
• Dimensions: .1 pounds
• Binding: Paperback
• 240 pages

Review
"This book, an expanded version of the lectures delivered by the authors at the 'Centre de Recerca Matemàtica' Barcelona in July 2001, is designed for a modern introduction to symplectic and contact geometry to graduate students. It can also be useful to research mathematicians interested in integrable systems. The text includes up-to-date references, and has three parts. The first part, by Michèle Audin, contains an introduction to Lagrangian and special Lagrangian submanifolds in symplectic and Calabi-Yau manifolds…. The second part, by Ana Cannas da Silva, provides an elementary introduction to toric manifolds (i.e. smooth toric varieties)…. In these first two parts, there are exercises designed to complement the exposition or extend the reader's understanding…. The last part, by Eugene Lerman, is devoted to the topological study of these manifolds." —ZENTRALBLATT MATH

Book Info
Text contains an expanded version of the lectures delivered by the authors at the CRM Barcelona in July 2001. Provides an introduction to symplectic and contact geometry for graduate students. Softcover.