eBook ISBN:  9781614440093 
Product Code:  CAR/9.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
eBook ISBN:  9781614440093 
Product Code:  CAR/9.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 

Book DetailsThe Carus Mathematical MonographsVolume: 9; 1975; 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


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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