| 翻訳と辞書 |
| Disquisitiones Arithmeticae ： ウィキペディア英語版 |
Disquisitiones Arithmeticae
The ''Disquisitiones Arithmeticae'' (Latin: ''Arithmetical Investigations'') is a textbook of number theory written in Latin〔(''Disquisitiones Arithmeticae'' ) at Yalepress.yale.edu〕 by Carl Friedrich Gauss in 1798 when Gauss was 21 and first published in 1801 when he was 24. In this book Gauss brings together results in number theory obtained by mathematicians such as Fermat, Euler, Lagrange and Legendre and adds important new results of his own.
==Scope==
The ''Disquisitiones'' covers both elementary number theory and parts of the area of mathematics now called algebraic number theory. However, Gauss did not explicitly recognize the concept of a group, which is central to modern algebra, so he did not use this term. His own title for his subject was Higher Arithmetic. In his Preface to the ''Disquisitiones'' Gauss describes the scope of the book as follows:
:''The inquiries which this volume will investigate pertain to that part of Mathematics which concerns itself with integers.''
Gauss also states "When confronting many difficult problems, derivations have been suppressed for the sake of brevity when readers refer to this work." ("Quod, in pluribus quaestionibus difficilibus, demonstrationibus syntheticis usus sum, analysinque per quam erutae sunt suppressi, imprimis brevitatis studio tribuendum est, cui quantum fieri poterat consulere oportebat")
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
■ウィキペディアで「Disquisitiones Arithmeticae」の詳細全文を読む
スポンサード リンク
| 翻訳と辞書 : 翻訳のためのインターネットリソース |
Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.
|
|