Results 291 to 300 of about 32,005 (324)

A Review of Number Theory and Algebra

2015
Elementary number theory may be regarded as a prerequisite for this book, but since we, the authors, want to be nice to you, the readers, we provide a brief review of this theory for those who already have some background on number theory and a crash course on elementary number theory for those who have not.
Harald Niederreiter, Arne Winterhof
openaire   +2 more sources

Algebraic Identities in the Theory of Numbers

The American Mathematical Monthly, 1943
(1943). Algebraic Identities in the Theory of Numbers. The American Mathematical Monthly: Vol. 50, No. 9, pp. 535-541.
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Kronecker’s Algebraic Number Theory

2018
In this chapter, we look at the Kroneckerian alternative to Dedekind’s approach to ‘ring theory’ set out in his Grundzuge and later extended by the Hungarian mathematician Gyula (Julius) Konig. This leads us to the emergence of the concept of an abstract field.
Jeremy Gray, Jeremy Gray
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Introduction to Algebraic Number Theory [PDF]

, 1982
By an algebraic number we mean a number 9 which is a root of the algebraic equation $$f(x) = a_n x^n + a_{n - 1} x^{n - 1} + \cdots + a_0 = 0,$$ (1)
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Primes and Algebraic Number Theory

2016
The final major area within the theory of numbers is algebraic number theory. In this chapter we present an overview of the major ideas in this discipline. In line with the theme of these notes, we will concentrate on primes and prime decompositions.
Gerhard Rosenberger, Benjamin Fine
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Applied Algebra and Number Theory

, 2014
H. Niederreiter, G. Larcher, F. Pillichshammer, Arne Winterhof, C. Xing   +4 more
semanticscholar   +1 more source

Algorithmic Algebra and Number Theory

Springer Berlin Heidelberg, 1999
Heinrich Matzat, G. Greuel, G. Hiss
semanticscholar   +1 more source

Algebraic Number Theory, A Survey

1982
Publisher Summary This chapter explains algebraic number fields and its discreteness, factoring polynomials, valuation theory, unit theorem, and finiteness of class group and their proofs. Number theory is a good test for constructive mathematics as it applies to both discrete and continuous constructions; the constructive development brings to light
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Model Theory, Differential Algebra, and Number Theory

, 1995
A. Pillay
semanticscholar   +1 more source

Algebraic Theory of Numbers.

The American Mathematical Monthly, 1972
D. J. Lewis, Pierre Samuel, Allan J. Silberger   +2 more
openaire   +2 more sources