Results 191 to 200 of about 527,157 (233)

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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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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The Birth of Algebraic Number Theory

2018
In the first chapter we present the development of the theory of algebraic numbers in the 19th century, describing concisely the work of Gauss, Dirichlet, Eisenstein, Kummer, Hermite, Kronecker and Dedekind.
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Algebraic Theory of Numbers.

The American Mathematical Monthly, 1972
D. J. Lewis, Pierre Samuel, Allan J. Silberger   +2 more
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Algebraic number theory.

Abstracts from the workshop held June 17-12, 2007; Vol. 4, no. 3, 1741-1791, 2007
G. Kings, M. Kisin, O. Venjakob
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Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller, Leticia M Nogueira, Angela B Mariotto   +2 more
exaly  

Algebraic 𝐾-Theory and Algebraic Number Theory

1989
R. Keith Dennis, Michael R. Stein
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Algebraic Number Theory

2021
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