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The Theory of Algebraic Numbers: Second Edition
 
The Theory of Algebraic Numbers
MAA Press: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-61444-009-3
Product Code:  CAR/9.E
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
The Theory of Algebraic Numbers
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The Theory of Algebraic Numbers: Second Edition
MAA Press: An Imprint of the American Mathematical Society
eBook ISBN:  978-1-61444-009-3
Product Code:  CAR/9.E
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
  • Book Details
     
     
    The Carus Mathematical Monographs
    Volume: 91975; 162 pp

    This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.

  • Table of Contents
     
     
    • Chapters
    • Chapter I. Divisibility
    • Chapter II. The Gaussian primes
    • Chapter III. Polynomials over a field
    • Chapter VI. Algebraic number fields
    • Chapter V. Bases
    • Chapter VI. Algebraic integers and integral bases
    • Chapter VII. Arithmetic in algebraic number fields
    • Chapter VIII. The fundamental theorem of ideal theory
    • Chapter IX. Consequences of the fundamental theorem
    • Chapter X. Ideal classes and class numbers
    • Chapter XI. The Fermat conjecture
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 91975; 162 pp

This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.

  • Chapters
  • Chapter I. Divisibility
  • Chapter II. The Gaussian primes
  • Chapter III. Polynomials over a field
  • Chapter VI. Algebraic number fields
  • Chapter V. Bases
  • Chapter VI. Algebraic integers and integral bases
  • Chapter VII. Arithmetic in algebraic number fields
  • Chapter VIII. The fundamental theorem of ideal theory
  • Chapter IX. Consequences of the fundamental theorem
  • Chapter X. Ideal classes and class numbers
  • Chapter XI. The Fermat conjecture
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.