In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem

In Pursuit of Zeta-3, takes a look at the history and importance of a centuries-old but still unanswered math problem. Drawing on detailed examples, historical anecdotes, and even occasionally poetry, Nahin sheds light on the richness of the nature of zeta-3. He shows its intimate connections to the Riemann hypothesis, another mathematical mystery that has stumped mathematicians for nearly two centuries. He looks at its links with Euler’s achievements and explores the modern research area of Euler sums, where zeta-3 occurs frequently. An exact solution to the zeta-3 question wouldn’t simply satisfy pure mathematical interest: it would have critical ramifications for applications in physics and engineering, such as quantum electrodynamics.

Challenge problems with detailed solutions and MATLAB code are included at the end of each of the book’s sections.