The power and properties of numbers, from basic addition and sums of squares to cutting-edge theoryWe use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner...

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which m...

Seven realms.Five branches of Magis.The Ash Lords are sworn to protect the realms-at the cost of their soul.After his powers erupted one night, leaving two dead, a mysterious force known as the Dark Wind tore Aros from his home realm of Arteyva. Ten years later, the Wind calls him back-to compete in the Ash Trials for a chance at becoming an Ash Lord.Kingdoms teeter on the edge of war. The realms are beginning to fracture. But no one sees it coming.T...