Flavors of Geometry (Mathematical Sciences Research Institute Publications, Series Number 31)

Flavors of Geometry is a collection of lectures on four geometrically-influenced fields of mathematics that have experienced great development in recent years. It presents chapters by masters in their fields on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation. Each lecture begins with a discussion of elementary concepts, examines the highlights of the field, and concludes with a look at more advanced material. The style and presentation of the chapters are clear and accessible, and many of the lectures are richly illustrated. The book includes bibiliographies and indexes to encourage further reading. It will be an influential resource for graduate students and advanced undergraduates in mathematics. Flavors Of Geometry Is A Volume Of Lectures On Four Geometrically Influenced Fields Of Mathematics That Have Experienced Great Development In Recent Years. Growing Out Of A Series Of Introductory Lectures Given At The Mathematical Sciences Research Institute In January 1995 And January 1996, The Book Presents Chapters On Hyperbolic Geometry, Dynamics In Several Complex Variables, Convex Geometry, And Volume Estimation, By Masters In Their Respective Fields. Each Lecture Begins With A Discussion Of Elementary Concepts, Examines The Highlights Of The Field, And Concludes With A Look At More Advanced Material. The Style And Presentation Of The Chapters Are Clear And Accessible, And Most Of The Lectures Are Richly Illustrated. Bibliographies And Indexes Are Included To Encourage Further Reading On The Topics Discussed. These Lectures Are An Excellent Starting Place For Graduate Students And Will Also Interest Researchers Wanting A Flavor Of New Developments In Geometry.--jacket. An Elementary Introduction To Modern Convex Geometry / Keith Ball -- Hyperbolic Geometry / James W. Cannon [and Others] -- Complex Dynamics In Several Variables / John Smillie ; Notes By Gregery T. Buzzard -- Volume Estimates And Rapid Mixing / Béla Bollobás. Edited By Silvio Levy. Based On A Series Of Lectures Given At The Mathematical Sciences Research Institute In January 1995 And January 1996. Includes Bibliographical References And Indexes. A volume of lectures on four geometrically-influenced fields of mathematics that have experienced great development in recent years, with chapters by well-known researchers on hyperbolic geometry, dynamics in several complex variables, convex geometry, and Banach space geometry. TOC ......Page 1 pref.pdf......Page 2 ball.pdf......Page 6 cannon.pdf......Page 64 smillie.pdf......Page 121 bollobas.pdf......Page 155