Flavors of Geometry

Mathematical Sciences Research Institute

doi:10.1017/9781009701853

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 by masters in their respective 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 most of the lectures are richly illustrated. Bibiliographies and indexes are included to encourage further reading on the topics discussed.

‘ … a useful introductory textbook to convex geometry.’

Source: European Mathematical Society

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-viii
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Preface
pp ix-x
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Note on MSRI Programs
pp xi-xii
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An Elementary Introduction to Modern Convex Geometry
pp 1-58
- By Keith Ball
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Hyperbolic Geometry
pp 59-116
- By James W. Cannon, William J. Floyd, Richard Kenyon, Walter R. Parry
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Complex Dynamics in Several Variables
pp 117-150
- By John Smillie
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Volume Estimates and Rapid Mixing
pp 151-182
- By Béla Bollobäs
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Cumulative Index
pp 183-194
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Flavors of Geometry

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

Preface
pp ix-x

Note on MSRI Programs
pp xi-xii

An Elementary Introduction to Modern Convex Geometry
pp 1-58

Hyperbolic Geometry
pp 59-116

Complex Dynamics in Several Variables
pp 117-150

Volume Estimates and Rapid Mixing
pp 151-182

Cumulative Index
pp 183-194

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Flavors of Geometry

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