000			01644nam a22002057a 4500
005			20260116222220.0
008			260116b |||||||| |||| 00| 0 eng d
020			_a9781107499430
041			_aeng
082			_a512.7 _bMazP
100			_aMazur, Barry
245			_aPrime Numbers and the Riemann Hypothesis / _cBarry Mazur And William Stein
260			_aNewyork : _bCambridge University press, _c©2016
300			_avii,129p.
520			_arime numbers are beautiful, mysterious, and beguiling mathematical objects. The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so-called Riemann hypothesis, which remains one of the most important unsolved problems in mathematics. Through the deep insights of the authors, this book introduces primes and explains the Riemann hypothesis. Students with a minimal mathematical background and scholars alike will enjoy this comprehensive discussion of primes. The first part of the book will inspire the curiosity of a general reader with an accessible explanation of the key ideas. The exposition of these ideas is generously illuminated by computational graphics that exhibit the key concepts and phenomena in enticing detail. Readers with more mathematical experience will then go deeper into the structure of primes and see how the Riemann hypothesis relates to Fourier analysis using the vocabulary of spectra. Readers with a strong mathematical background will be able to connect these ideas to historical formulations of the Riemann hypothesis.
650			_aNumber theory
650			_aRiemann hypothesis
700			_aStein,William
942			_cBK
999			_c7935 _d7935