Results 211 to 220 of about 2,710,146 (251)
Some of the next articles are maybe not open access.
Mathematics of the 19th century : mathematical logic, algebra, number theory, probability theory
, 1994One Mathematical Logic.- The Prehistory of Mathematical Logic.- Leibniz's Symbolic Logic.- The Quantification of a Predicate.- The "Formal Logic" of A. De Morgan.- Boole's Algebra of Logic.- Jevons' Algebra of Logic.- Venn's Symbolic Logic.- Schroder's ...
A. Kolmogorov, A. Yushkevich
semanticscholar +1 more source
Foundations of the Theory of Algebraic Numbers
Nature, 1932THIS is the first volume of Prof. Hancock's work and is intended as an introduction to the second volume. Its size shows that he is engaged in no light task. His object is to help in making the theory of algebraic numbers more accessible, more attractive, and less difficult.
openaire +2 more sources
Computer Algebra in the Service of Mathematical Physics and Number Theory
Computers in Mathematics, 2020D. Chudnovsky, G. Chudnovsky
semanticscholar +1 more source
Algebraic Aspects of Number Theory
2014Chapter 10 discusses some more interesting properties of integers, in particular, properties of prime numbers and primality testing by using the tools of modern algebra, which are not studied in Chap. 1. In addition, the applications of number theory, particularly those directed towards theoretical computer science, are presented.
Mahima Ranjan Adhikari, Avishek Adhikari
openaire +2 more sources
On a problem in algebraic number theory
Mathematical Proceedings of the Cambridge Philosophical Society, 1996Let K be an algebraic number field. If q is a prime ideal of the ring of integers of K and α is a number of K prime to q then Mq(α) denotes the multiplicative group generated by α modulo q. In the paper [5] there is the remark: ‘We do not know whether for all a, b, c ∈ ℚ with abc ≠ 0, |a| ≠ 1,|b| ≠ 1,|c| ≠ 1 there exist infinitely many primes q with Mq
openaire +2 more sources
Algebraic Number Theory: Cyclotomy
2018In this chapter, we return to one of Gauss’s favourite themes, cyclotomic integers, and look at how they were used by Kummer, one of the leaders of the next generation of German number theorists. French and German mathematicians did not keep up-to-date with each other’s work, and for a brief, exciting moment in Paris in 1847 it looked as if the ...
Jeremy Gray, Jeremy Gray
openaire +2 more sources
Algebraic Theory of Complex Numbers
1962Before defining complex numbers let us briefly review the more familiar types of numbers and let us examine why there are different kinds of numbers.
openaire +2 more sources
A Review of Number Theory and Algebra
2015Elementary 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 Number Theory, A Survey
1982Publisher 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
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.
openaire +2 more sources