Cubics and the Prettiest Theorem in Calculus - Arithmetic and Geometry Math Foundations

Offered By: Insights into Mathematics via YouTube

Course Description

Overview

Explore the fascinating world of cubic polynomials and their algebraic calculus in this 28-minute mathematics lecture. Delve into Taylor expansions, subderivatives, tangent lines, and tangent conics for cubic functions. Discover the "prettiest theorem in calculus" attributed to Etienne Ghys, complete with an elementary and elegant proof. Learn about the MathFoundations series, which aims to establish proper mathematical foundations while addressing logical challenges in modern pure mathematics.

Syllabus

Introduction
Strategy
Tangents
Special cubic
Cubic disjoint tangent conic theorem
Example

Taught by

Insights into Mathematics

Related Courses

A-Level Exams - Sample Assessment
Maths Explained via YouTube A-Level 2021 Practice Exams
Maths Explained via YouTube Introduction to group theory
The Open University via OpenLearn The Big Mathematics Divide - Between "Exact" and "Approximate" - Sociology and Pure Maths
Insights into Mathematics via YouTube Is Pure Mathematics Logically Viable? Five Challenges - Sociology and Pure Maths
Insights into Mathematics via YouTube