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Formal Groups and Applications
 
Formal Groups and Applications
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-5349-8
Product Code:  CHEL/375.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-0-8218-9400-2
Product Code:  CHEL/375.H.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Hardcover ISBN:  978-0-8218-5349-8
eBook: ISBN:  978-0-8218-9400-2
Product Code:  CHEL/375.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $114.10 $91.35
Formal Groups and Applications
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Formal Groups and Applications
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-5349-8
Product Code:  CHEL/375.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-0-8218-9400-2
Product Code:  CHEL/375.H.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Hardcover ISBN:  978-0-8218-5349-8
eBook ISBN:  978-0-8218-9400-2
Product Code:  CHEL/375.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $114.10 $91.35
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 3752012; 573 pp
    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.

    Readership

    Graduate students and research mathematicians interested in formal groups and their applications in other areas of mathematics.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3752012; 573 pp
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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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