Polynumbers and De Casteljau Bezier Curves - Algebraic Calculus and DCB Curves - N J Wildberger

This course explores the Algebraic Calculus approach, focusing on polynomially parametrized curves known as de Casteljau Bezier curves. Students will learn about planar integration formulas, polynomial arithmetic using polynumbers, and the linear algebra of Pascal matrices. The teaching method involves hands-on exploration using GeoGebra for computations and demonstrations. The course is designed for motivated amateur or professional mathematicians interested in research-level mathematics with a practical, concrete approach.