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The Elements of the Theory of Algebraic Numbers by Legh Wilber Reid




The Elements of the Theory of Algebraic Numbers - Table of Contents

1. Preliminary Definitions and Theorems. 2. The Rational Realm. Divisibility of Integers. 3. The Rational Realm. Congruences. 4. The Rational Realm. Quadratic Residues. 5. The Realm k(i). 6. The Realm fc(V—3) 7. The Realm k(V2) 8. The Realm £(V—5) 9. General Theorems Concerning Algebraic Numbers. 10. The General Quadratic Realm. 11. Ideals of a Quadratc Realm. 12. Congruences whose Moduli are Ideals. 13. The Units of the General Quadratic Realm. 14. The Ideal Classes of a Quadratic Realm.

What You Will Learn in The Elements of the Theory of Algebraic Numbers

It has been my endeavor in this book to lead by easy stages a reader, entirely unacquainted with the subject, to an appreciation of some of the fundamental conceptions in the general theory of algebraic numbers. Many numerical examples are given. With this object in view, the author has treated the theory of rational integers more in the manner of the general theory than is usual, and have emphasized those properties of these integers which find their analogues in the general theory. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.

Book Details & Specifications

Title: The Elements of the Theory of Algebraic Numbers by Legh Wilber Reid
Publisher: The Macmillan company
Year: 1910
Pages: 488
Type: PDF
Language: English
ISBN-10 #: 1236324447
ISBN-13 #:
License: N\A
Amazon: Amazon

About the Author: Legh Wilber Reid

The author Legh Wilber Reid is Professor of Mathematics at Haverford College.

Galois Theory


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