Modular Arithmetic: In Motion скачать в хорошем качестве

Modular Arithmetic: In Motion

Modular arithmetic visually! We use a visualization tool called a "dynamical portrait." We explore addition and multiplication modulo n, and discover and prove the portrait is made of cycles if and only if the function (f(z) = z+a mod n or f(z) = az mod n) is bijective. This treatment is inspired by Martin H. Weissman's beautiful book, An Illustrated Theory of Numbers. This video is appropriate for an introduction to proof course, for undergraduate mathematics majors, or for the mathematically inclined, especially those interested in cryptography or number theory. This is part of a series on modular arithmetic:    • Modular Arithmetic Visually   For associated materials: https://proofofconcept.katestange.net...