Convex Geometric Analysis
by Keith Ball, Vitali Milman
Publisher: Cambridge University Press 1998
Number of pages: 236
Convex bodies are at once simple and amazingly rich in structure. This collection involves researchers in classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis. It is representative of the best research in a very active field that brings together ideas from several major strands in mathematics.
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The present book grew out of notes written for a course by the same name taught by the author during in 2005. Only some basic abstract algebra, linear algebra, and mathematical maturity are the prerequisites for reading this book.
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These are notes from an experimental mathematics course entitled Geometry and the Imagination as developed by Conway, Doyle, Thurston and others. The course aims to convey the richness, diversity, connectedness, depth and pleasure of mathematics.