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Formal Groups and Applications

AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Available Formats:
Hardcover ISBN: 978-0-8218-5349-8
Product Code: CHEL/375.H
573 pp
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 573 pp List Price:$72.00
MAA Member Price: $64.80 AMS Member Price:$57.60
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $108.00 MAA Member Price:$97.20
AMS Member Price: $97.20 Click above image for expanded view Formal Groups and Applications AMS Chelsea Publishing: An Imprint of the American Mathematical Society Available Formats:  Hardcover ISBN: 978-0-8218-5349-8 Product Code: CHEL/375.H 573 pp  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 573 pp
 List Price: $72.00 MAA Member Price:$64.80 AMS Member Price: $57.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$108.00
MAA Member Price: $97.20 AMS Member Price:$97.20
• Book Details

AMS Chelsea Publishing
Volume: 3752012
MSC: 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.

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
• Chapter 7. Formal groups and bialgebras
• Appendix A. On power series rings
• Appendix B. Brief notes on further applications of formal group (law) theory

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Volume: 3752012
MSC: 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.

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
• Chapter 7. Formal groups and bialgebras
• Appendix A. On power series rings
• Appendix B. Brief notes on further applications of formal group (law) theory
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