"Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and...

"In 1859, Bernhard Riemann, a little-known thirty-two-year-old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled On the Number of Prime Numbers Less Than a Given Quantity. Today, after 150 years of careful research and exhaustive study, the Riemann Hyphothesis remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it. Alternating passages of extraordinarily lucid mathematical...

Understanding math has never been easier. Combining bold, elegant graphics with easy-to-understand text, Simply Math is the perfect introduction to the subject for those who are short on time but hungry for knowledge. Covering more than 80 key mathematical theories from prime numbers and matrices to logarithms and quadratic equations, each pared-back, single-page entry explains the concept more clearly than ever before. Organized by major themes -...

Mette, a twenty-year old programmer of visual effects for video games, lives with her mother, Saskia, an aspiring playwright, in Brooklyn. Mette is a private and socially awkward young woman, who finds something consoling in repetitive mathematical calculations. But she has been recently rejected in love, and feels stuck in an endless loop, no longer certain of her place in the world. As Brian Hall's new novel opens, Mette has gone missing. Her disappearance...

Mathematics stories from Quanta Magazine. These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, "inspiration strikes willy-nilly." One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes...

"For centuries, mathematicians have tried, and failed, to solve the zeta-3 problem. This problem is simple in its formulation, but remains unsolved to this day, despite the attempts of some of the world's greatest mathematicians to solve it. The problem can be stated as follows: is there a simple symbolic formula for the following sum: 1+(1/2)^3+(1/3)^3+(1/4)^3+...? Although it is possible to calculate the approximate numerical value of the sum (for...