Results 1 to 10 of about 75,354 (217)
Mathematics in ‘the news’: number theory and number sense
The Mathematical Gazette, 2022 Time spent in national pandemic ‘lockdowns’ and ‘tiers’ for most of 2020 has created an opportunity to revisit some ideas previously committed to paper, but unfinished. I now return to one of them, to continue and share the line of thought, if not to complete it.
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Number theory in secondary schools’ mathematics
Lietuvos matematikos rinkinys, 2021 Schools’ curricula are analyzed in terms of Number Theory. We deduce, that the concept of number is first and main in secondary schools’ Mathematics. The problems of divisibility of numbers are also discussed, the examples of such problems are given.
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Experimental mathematics and its use in number theory
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2022 The purpose of the work is to show the usefulness and features of experimental mathematics. Two number theory problems are solved using Wolfram Mathematica. The solution to the first problem has already been published. Congruencies of the form F(A(p)) ≡ εF(S) (mod p) by prime modulo p are proved, whenever A(p) is a polynomial respect p with integer ...
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The mathematical theory of low Mach number flows [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2005 In this paper one can find a very interesting approach to the mathematical theory of the passage from compressible to incompressible fluid flows as the Mach number tends to zero. Starting from a system of equations which allows to treat simultaneously the three most commonly studied models: the isentropic incompressible Euler equations, the non ...
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Discrete Mathematics/Number Theory
, 2017 Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics such as integers, graphs, and statements do not vary smoothly in this way, but have distinct, separated values ...
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A Mathematical Theory of Origami Numbers and Constructions
, 1999 We give a hierarchial set of axioms for mathematical origami. The hierachy gives the fields of Pythagorean numbers, first discussed by Hilbert, the field of Euclidean constructible numbers which are obtained by the usual constructions of straightedge and compass, and the Origami numbers, which is also the field generated from the intersections of ...
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In defense of intuitive mathematical theories as the basis for natural number
Behavioral and Brain Sciences, 2008 AbstractThough there are holes in the theory of how children move through stages of numerical competence, the current approach offers the most promising avenue for characterizing changes in competence as children confront new mathematical concepts. Like the science of mathematics, children's discovery of number is rooted in intuitions about sets, and ...
UCSD Language and Development Lab +1 more
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Historical Changes in the Concepts of Number, Mathematics and Number Theory
, 2017 This essay traces the history of three interconnected strands. Firstly, changes in the concept of number, secondly, the study of the qualities of number, which evolved into number theory, and thirdly, the nature of mathematics itself, from early Greek mathematics to the 20th century. These were embedded in philosophical shifts, from the classical Greek
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Problems in Number Theory related to Mathematical Physics
, 2008 This thesis consists of an introduction and four papers. All four papers are devoted to problems in Number Theory. In Paper I, a special class of local ζ-functions is studied. The main theorem states that the functions have all zeros on the line Re(s)=1/2.This is a natural generalization of the result of Bump and Ng stating that the zeros of the Mellin
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