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Class Field Theory
 
John Tate University of Texas at Austin, Austin, TX
Class Field Theory
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-4426-7
Product Code:  CHEL/366.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-1-4704-1574-7
Product Code:  CHEL/366.H.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Hardcover ISBN:  978-0-8218-4426-7
eBook: ISBN:  978-1-4704-1574-7
Product Code:  CHEL/366.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $114.10 $91.35
Class Field Theory
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Class Field Theory
John Tate University of Texas at Austin, Austin, TX
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-4426-7
Product Code:  CHEL/366.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-1-4704-1574-7
Product Code:  CHEL/366.H.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Hardcover ISBN:  978-0-8218-4426-7
eBook ISBN:  978-1-4704-1574-7
Product Code:  CHEL/366.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: 3662008; 192 pp
    MSC: Primary 11;

    This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory, and the authors accomplished this goal spectacularly: for more than 40 years since its first publication, the book has served as an ultimate source for many generations of mathematicians.

    In this revised edition, two mathematical additions complementing the exposition in the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.

    Readership

    Graduate students and research mathematicians interested in number theory.

  • Table of Contents
     
     
    • Chapters
    • Preliminaries
    • Chapter V. The first fundamental inequality
    • Chapter VI. Second fundamental inequality
    • Chapter VII. Reciprocity law
    • Chapter VIII. The existence theorem
    • Chapter IX. Connected component of idèle classes
    • Chapter X. The Grunwald–Wang theorem
    • Chapter XI. Higher ramification theory
    • Chapter XII. Explicit reciprocity laws
    • Chapter XIII. Group extensions
    • Chapter XIV. Abstract class field theory
    • Chapter XV. Weil groups
  • Additional Material
     
     
  • Reviews
     
     
    • This new edition of the famous Artin-Tate notes on class field theory is a must-have, even for those who already have a copy of the original. This is a classic, a book that has inspired a generation of number theorists. It's hard going but deep, insightful, and essential.

      MAA Reviews
  • 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: 3662008; 192 pp
MSC: Primary 11;

This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory, and the authors accomplished this goal spectacularly: for more than 40 years since its first publication, the book has served as an ultimate source for many generations of mathematicians.

In this revised edition, two mathematical additions complementing the exposition in the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.

Readership

Graduate students and research mathematicians interested in number theory.

  • Chapters
  • Preliminaries
  • Chapter V. The first fundamental inequality
  • Chapter VI. Second fundamental inequality
  • Chapter VII. Reciprocity law
  • Chapter VIII. The existence theorem
  • Chapter IX. Connected component of idèle classes
  • Chapter X. The Grunwald–Wang theorem
  • Chapter XI. Higher ramification theory
  • Chapter XII. Explicit reciprocity laws
  • Chapter XIII. Group extensions
  • Chapter XIV. Abstract class field theory
  • Chapter XV. Weil groups
  • This new edition of the famous Artin-Tate notes on class field theory is a must-have, even for those who already have a copy of the original. This is a classic, a book that has inspired a generation of number theorists. It's hard going but deep, insightful, and essential.

    MAA Reviews
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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