| Hardcover ISBN: | 978-0-8218-5349-8 |
| Product Code: | CHEL/375.H |
| List Price: | $72.00 |
| MAA Member Price: | $64.80 |
| AMS Member Price: | $64.80 |
| Electronic ISBN: | 978-0-8218-9400-2 |
| Product Code: | CHEL/375.H.E |
| List Price: | $72.00 |
| MAA Member Price: | $64.80 |
| AMS Member Price: | $57.60 |
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Book DetailsAMS Chelsea PublishingVolume: 375; 2012; 573 ppMSC: Primary 14; Secondary 16; 05; 11; 12; 13; 55;
This book is a comprehensive treatment of the theory of formal groups and its numerous applications in several areas of mathematics. The seven chapters of the book present basics and main results of the theory, as well as very important applications in algebraic topology, number theory, and algebraic geometry. Each chapter ends with several pages of historical and bibliographic summary. One prerequisite for reading the book is an introductory graduate algebra course, including certain familiarity with category theory.
ReadershipGraduate students and research mathematicians interested in formal groups and their applications in other areas of mathematics.
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Table of Contents
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Chapters
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Chapter 1. Methods for constructing one dimensional formal groups
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Chapter 2. Methods for constructing higher dimensional formal group laws
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Chapter 3. Curves, $p$-typical formal group laws, and lots of Witt vectors
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Chapter 4. Homomorphisms, endomorphisms, and the classification of formal groups by power series methods
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Chapter 5. Cartier-Dieudonné modules
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Chapter 6. Applications of formal groups in algebraic topology, number theory, and algebraic geometry
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Chapter 7. Formal groups and bialgebras
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Appendix A. On power series rings
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Appendix B. Brief notes on further applications of formal group (law) theory
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Additional Material
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This book is a comprehensive treatment of the theory of formal groups and its numerous applications in several areas of mathematics. The seven chapters of the book present basics and main results of the theory, as well as very important applications in algebraic topology, number theory, and algebraic geometry. Each chapter ends with several pages of historical and bibliographic summary. One prerequisite for reading the book is an introductory graduate algebra course, including certain familiarity with category theory.
Graduate students and research mathematicians interested in formal groups and their applications in other areas of mathematics.
-
Chapters
-
Chapter 1. Methods for constructing one dimensional formal groups
-
Chapter 2. Methods for constructing higher dimensional formal group laws
-
Chapter 3. Curves, $p$-typical formal group laws, and lots of Witt vectors
-
Chapter 4. Homomorphisms, endomorphisms, and the classification of formal groups by power series methods
-
Chapter 5. Cartier-Dieudonné modules
-
Chapter 6. Applications of formal groups in algebraic topology, number theory, and algebraic geometry
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Chapter 7. Formal groups and bialgebras
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Appendix A. On power series rings
-
Appendix B. Brief notes on further applications of formal group (law) theory
