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January 2004
- Date Published: January 2004
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One of the founding works of algebraic number theory, the Disquisitiones Arithmeticae (Latin: Arithmetical Investigations) is a textbook of number theory written in Latin by Carl Friedrich Gauss in 1798 when Gauss was 21 and first published in 1801 when he was 24.
May 25, 2023 · The origin of Algebraic Number Theory is attributed to Fermat’s Last Theorem which was conjectured by a French mathematician Pierre de Fermat in 1637. It states that the equation \(X^n+Y^n=Z^n\) has no solution in non-zero integers x, y, z, when n is an integer greater than 2.
Jan 19, 2019 · In the algebra textbook by Netto [3087], appearing in 1900, algebraic numbers and their fields serve as tools in the study of polynomial equations, and in the second volume of Weber’s treatise [1302], published in 1896, one finds a broad exposition of Kronecker’s theory of algebraic numbers.
- Władysław Narkiewicz
- narkiew@math.uni.wroc.pl
- 2018
t. e. Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [1]
The purpose of this section is to give an overview of the aims of algebraic number theory and to provide motivation for the study of the subject. We shall be concerned with generalisations of the integral domain ℤ of ordinary integers which are called rings of algebraic integers: an algebraic integer is a root of a monic polynomial in ℤ[X ...
The origin of Algebraic Number Theory is attributed to Fermat’s Last Theorem which was conjectured by a French mathematician Pierre de Fermat in 1637. It states that the equation Xn + Yn = Zn has no solution in non-zero integers x, y, z, when n is an integer greater than 2.
Apr 10, 2007 · First published Tue Apr 10, 2007; substantive revision Thu Jun 18, 2020 Set theory is one of the greatest achievements of modern mathematics. Basically all mathematical concepts, methods, and results admit of representation within axiomatic set theory.
