Disquisitiones Arithmeticae

✍ Scribed by Paul Groth (editor); Todd W. Bressi (editor)

• Publisher: Yale University Press
• Year: 2006
• Tongue: English
• Leaves: 496
• Category: Library

✦ Synopsis

The first translation into English of the standard work on the theory of numbers by one of the greatest masters of modern mathematical analysis, this classic was first published in 1801 in Latin.  It has continued to be important to mathematicians as the source of the ideas from which number theory was developed and to students of the history of the electrical, astronomical, and engineering sciences, which were furthered by Gauss’ application of his mathematical principles to these fields.  Father Clarke has achieved a sympathetic and faithful translation of this monumental work.  The book is complete and unabridged, and a bibliography of the references cited by Gauss has been added by the translator.

 

"Whatever set of values is adopted, Gauss's Disquistiones Arithmeticae surely belongs among the greatest mathematical treatises of all fields and periods. . . . The appearance of an English version of this classic is most welcome."—Asger Aaboe. 

✦ Table of Contents

Translator's Preface
Bibliographical Abbreviations
Contents
Dedication
Author's Preface
Section I. Congruent Numbers in General
Section II. Congruences of the First Degree
Section III. Residues of Powers
Section IV. Congruences of the Second Degree
Section V. Forms and Indeterminate Equations of the Second Degree
Section VI. Various Applications of the Preceding Discussions
Section VII. Equations Defining Sections of a Circle
Additional Notes
Tables
Gauss' Handwritten Notes
List of Special Symbols
Directory of Terms