Prime Obsession
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Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003) is a historical book on mathematics by John Derbyshire, detailing the history of the Riemann hypothesis and some of its applications. It is written for a popular audience, so even though it includes college-level mathematics, rigorous proofs are not provided, and much is taken on faith. Much historical background is provided, starting from Carl Friedrich Gauss and continuing well into the twentieth century.
The book is written such that every other chapter presents historical elements related to the development of the theorem, and the other chapters deal with the mathematical and technical aspects.