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.
General
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