Number Theory and Combinatorics in the Islamic World

J. L. Berggren ()
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J. L. Berggren: Simon Fraser University, Department of Mathematics

Chapter Chapter 7 in Episodes in the Mathematics of Medieval Islam, 2016, pp 223-245 from Springer

Abstract: Abstract Number theory has a rich ancient tradition, much of it being found in Books VII–IX of Euclid’s Elements. Among the beautiful results in these three books, one finds a proof that there are infinitely many prime numbers, and that if 2n − 1 is a prime then 2n−1(2n − 1) is a perfect number, i.e., it is equal to the sum of its proper divisors.

Keywords: Rational Number; Main Diagonal; Arabic Text; Arabic Word; Triangular Number (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-1-4939-3780-6_7

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