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Disquisitiones Arithmeticae
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Language:
English
Published/Copyright:
2006
About this book
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.
Topics
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Frontmatter
i -
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Translator's Preface
v -
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Bibliographical Abbreviations
vii -
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Contents
ix -
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Dedication
xv -
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Author's Preface
xvii -
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Section I. Congruent Numbers in General
1 -
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Section II. Congruences of the First Degree
5 -
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Section III. Residues of Powers
29 -
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Section IV. Congruences of the Second Degree
63 -
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Section V. Forms and Indeterminate Equations of the Second Degree
108 -
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Section VI. Various Applications of the Preceding Discussions
375 -
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Section VII. Equations Defining Sections of a Circle
407 -
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Additional Notes
461 -
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Tables
463 -
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Gauss' Handwritten Notes
467 -
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List of Special Symbols
470 -
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Directory of Terms
471
Publishing information
Pages and Images/Illustrations in book
eBook published on:
May 15, 2006
eBook ISBN:
9780300194258
Pages and Images/Illustrations in book
