Prime Numbers and the Riemann Hypothesis

Prime Numbers and the Riemann Hypothesis

Details

Author(s)
Barry Mazur, William Stein
Format
Hardback | 156 pages
Dimensions
154 x 239 x 13mm | 390g
Publication date
06 Sep 2016
Publisher
CAMBRIDGE UNIVERSITY PRESS
Publication City/Country
Cambridge, United Kingdom
Language
English
Illustrations note
22 Halftones, color; 110 Line drawings, color; 110 Line drawings, black and white
ISBN10
1107101921
ISBN13
9781107101920
Bestsellers rank
69,002

Description

Prime 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.


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