"This book, an expanded version of the lectures delivered by the authors at the 'Centre de Recerca Matematica' 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 Michele 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

• A Lagrangian Submanifolds.- I Lagrangian and special Lagrangian immersions in C“.- II Lagrangian and special Lagrangian submanifolds in symplectic and Calabi-Yau manifolds.- B Symplectic Toric Manifolds.- I Symplectic Viewpoint.- II Algebraic Viewpoint.- C Geodesic Flows and Contact Toric Manifolds.- I From toric integrable geodesic flows to contact toric manifolds.- II Contact group actions and contact moment maps.- III Proof of Theorem I.38.- List of Contributors.