Ricci Flow and the Poincare Conjecture
by John Morgan, Gang Tian
Publisher: American Mathematical Society 2007
Number of pages: 493
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's three preprints. With the large amount of background material that is presented and the detailed versions of the central arguments, this book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
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This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.
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Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.
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