From Stein to Weinstein and Back

Author: Kai Cieliebak
Publisher: American Mathematical Soc.
ISBN: 9780821885338
Release Date: 2012
Genre: Mathematics

A beautiful and comprehensive introduction to this important field. --Dusa McDuff, Barnard College, Columbia University This excellent book gives a detailed, clear, and wonderfully written treatment of the interplay between the world of Stein manifolds and the more topological and flexible world of Weinstein manifolds. Devoted to this subject with a long history, the book serves as a super introduction to this area and also contains the authors' new results. --Tomasz Mrowka, MIT This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from ``Stein to Weinstein'') and its applications in the complex geometric world of Stein manifolds (the road ``back''). This is the first book which systematically explores this connection, thus providing a new approach to the classical subject of Stein manifolds. It also contains the first detailed investigation of Weinstein manifolds, the symplectic counterparts of Stein manifolds, which play an important role in symplectic and contact topology. Assuming only a general background from differential topology, the book provides introductions to the various techniques from the theory of functions of several complex variables, symplectic geometry, $h$-principles, and Morse theory that enter the proofs of the main results. The main results of the book are original results of the authors, and several of these results appear here for the first time. The book will be beneficial for all students and mathematicians interested in geometric aspects of complex analysis, symplectic and contact topology, and the interconnections between these subjects.|This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from ""Stein to Weinstein"") and its applications in the complex geometric world of Stein manifolds (the road ""back""). This is the first book which systematically explores this connection, thus providing a new approach to the classical subject of Stein manifolds. It also contains the first detailed investigation of Weinstein manifolds, the symplectic counterparts of Stein manifolds, which play an important role in symplectic and contact topology.

Assuming only a general background from differential topology, the book provides introductions to the various techniques from the theory of functions of several complex variables, symplectic geometry, $h$-principles, and Morse theory that enter the proofs of the main results. The main results of the book are original results of the authors, and several of these results appear here for the first time. The book will be beneficial for all students and mathematicians interested in geometric aspects of complex analysis, symplectic and contact topology, and the interconnections between these subjects.

Discipline Punish

Author: Michel Foucault
Publisher: Vintage
ISBN: 9780307819291
Release Date: 2012-04-18
Genre: Social Science

In this brilliant work, the most influential philosopher since Sartre suggests that such vaunted reforms as the abolition of torture and the emergence of the modern penitentiary have merely shifted the focus of punishment from the prisoner's body to his soul.

The Official Guide for GMAT Review

Author: GMAC (Graduate Management Admission Council)
Publisher: John Wiley and Sons
ISBN: 9781119942511
Release Date: 2012-04-26
Genre: Study Aids

The most trusted source for studying the GMAT test, written by GMAC - the creators of the exam. The Official Guide to the GMAT, 13th Edition is the most up-to-date study guide for the GMAT test, containing 50 official questions from the new Integrated Reasoning component which was fully integrated into the test in June 2012. Because this component is more interactive than other core components in the GMAT exam (Verbal, Quantitative, and Analytical Writing), the Integrated Reasoning practice questions will be housed on a companion website that readers will be able to access after purchasing the book*. Includes: More than 900 questions from past GMAT exams Diagnostic section helps you assess where to focus your test-prep efforts Full answers and detailed explanations for practice questions Grammar review covering concepts tested in the GMAT Verbal section Comprehensive math review of the topics tested in the GMAT Quantitative section Actual essay topics, sample responses and scoring information Questions organized in order of difficulty to save study time Don't settle for anything less when studying for the GMAT test, purchase the Official Guide today. *To use the Integrated Reasoning companion website, you must have one of the following browsers: Safari, Google Chrome, Firefox, or Internet Explorer version 7 or higher.