p and modern twists on traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves.
This Masterclass edition contains many additional chapters and appendices not found in Number Theory Revealed: An Introduction, highlighting beautiful developments and inspiring other subjects in mathematics (like algebra). This allows instructors to tailor a course suited to their own (and their students') interests. There are new yet accessible topics like the curvature of circles in a tiling of a circle by circles, the latest discoveries on gaps between primes, a new proof of Mordell's Theorem for congruent elliptic curves, and a discussion of the abc
abc-conjecture including its proof for polynomials.
Andrew Granville: University of Montreal, Quebec, Canada and University College London, London, England and (formerly) University of Georgia, Athens, GA