Overview
- Authors:
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Benson Farb
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Department of Mathematics, Princeton University, Princeton, USA
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R. Keith Dennis
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Department of Mathematics, Cornell University, Ithaca, USA
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Table of contents (10 chapters)
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The Core Course
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- Benson Farb, R. Keith Dennis
Pages 3-27
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- Benson Farb, R. Keith Dennis
Pages 29-56
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- Benson Farb, R. Keith Dennis
Pages 57-79
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- Benson Farb, R. Keith Dennis
Pages 81-108
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- Benson Farb, R. Keith Dennis
Pages 109-148
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Selected Topics
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Front Matter
Pages 149-149
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- Benson Farb, R. Keith Dennis
Pages 151-159
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- Benson Farb, R. Keith Dennis
Pages 161-175
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- Benson Farb, R. Keith Dennis
Pages 177-183
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- Benson Farb, R. Keith Dennis
Pages 185-198
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Supplementary Exercises
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Front Matter
Pages 199-199
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- Benson Farb, R. Keith Dennis
Pages 201-214
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Back Matter
Pages 215-226
About this book
About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.
Authors and Affiliations
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Department of Mathematics, Princeton University, Princeton, USA
Benson Farb
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Department of Mathematics, Cornell University, Ithaca, USA
R. Keith Dennis
