000			a
999			_c30889 _d30889
008			220728b xxu||||| |||| 00| 0 eng d
020			_a9780883856505
082			_a512.73 _bVEE
100			_aVeen, Roland van der
245			_aRiemann hypothesis: a million dollar problem
260			_bMathematical Association of America, _c2016 _aWashington :
300			_axi, 144 p. ; _bill., _c23 cm
365			_b45.00 _cUSD _d82.00
490			_aAnneli Lax new mathematical library _vv.46
504			_aIncludes bibliographical references and index.
520			_aThe Riemann hypothesis concerns the prime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 ...Ubiquitous and fundamental in mathematics as they are, it is important and interesting to know as much as possible about these numbers. Simple questions would be: how are the prime numbers distributed among the positive integers? What is the number of prime numbers of 100 digits? Of 1,000 digits? These questions were the starting point of a groundbreaking paper by Bernhard Riemann written in 1859. As an aside in his article, Riemann formulated his now famous hypothesis that so far no one has come close to proving: All nontrivial zeroes of the zeta function lie on the critical line. Hidden behind this at first mysterious phrase lies a whole mathematical universe of prime numbers, infinite sequences, infinite products, and complex functions. The present book is a first exploration of this fascinating, unknown world. It originated from an online course for mathematically talented secondary school students organized by the authors of this book at the University of Amsterdam. Its aim was to bring the students into contact with challenging university level mathematics and show them what the Riemann Hypothesis is all about and why it is such an important problem in mathematics.
650			_aRiemann hypothesis
700			_aCraats, Jan van de
942			_2ddc _cBK