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Number theory

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Number Theory: Nice Generalization of the Waring Conjecture - DataScienceCentral.com

The Waring conjecture – actually a problem associated with a number of conjectures, many now being solved – is one of the most fascinating mathematical problems. This article covers new aspects of this problem, with a generalization and new conjectures, some with a tentative solution, and a new framework to tackle the problem. Yet it… Read More »Number Theory: Nice Generalization of the Waring Conjecture

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I See Number Theory

We had a really interesting week in my number theory class. We are really a seminar, seven teachers and I investigating elementary number theory together. I hope they're learning half as much as I am. This week we were exploring primes and modular arithmetic. The first day we were thinking about the \(4x \pm 1\) and \(6x \pm 1\) structures, and the results that there are an infinite number of each type of prime. To gain modular arithmetic practice, we played Modular Skirmish. (Cf. this post…

Number Theory: A Lively Introduction with Proofs, Applications, and Stories | Number Theory | Mathematics & Statistics | Subjects | Wiley

Number Theory: A Lively Introduction with Proofs, Applications, and Stories, is a new book that provides a rigorous yet accessible introduction to elementary number theory along with relevant applications. Readable discussions motivate new concepts and theorems before their formal definitions and statements are presented. Many theorems are preceded by Numerical Proof Previews, which are numerical examples that will help give students a concrete understanding of both the statements of the…

Elementary Introduction to Number Theory

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Twin Prime Distribution

Twin Prime Distribution Demystified by Prime Spiral Sieve Geometry and Algorithms

Unsolved Problems in Number Theory (Problem Books in Mathematics) by Richard Guy: Springer 9780387208602 - Irish Booksellers

Elementary Number Theory by Burton, David - ISBN 10: 0073383147 - ISBN 13: 9780073383149 - McGraw Hill - 2010 - Hardcover

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Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively.
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