Infinitesimal Calculus with Finite Fields - Famous Math Problems

YouTube·Finite Fields

Explore infinitesimal calculus over finite fields in this 34-minute video lecture. Discover how to apply calculus concepts to the semi-cubical parabola in the finite field F_7, challenging traditional notions of real number analysis. Learn about the importance of polynumbers, de Casteljau Bezier curves, and a more computational approach to mathematics. Examine the geometric properties of a hexagon inscribed and circumscribed to the semi-cubical parabola in F_7, gaining insights into algebraic calculus and its applications in undergraduate education and research.