Curves and Surfaces III: The remarkable role of De Casteljau Bezier curves in Algebraic Calculus

Speaker: 

Prof N J Wildberger

Affiliation: 

UNSW Sydney

Date: 

Thu, 18/04/2019 - 12:00pm

Venue: 

RC-4082, The Red Centre, UNSW

Abstract: 

The most important 20th century development in the theory of curves and surfaces was initiated by two French car engineers around 1960. The quadratic and cubic curves they introduced, with further extensions called B-splines and NURBS, have gone on to provide a core technology for engineers, architects, video game creators and even font designers, and are omnipresent in modern graphics programs.

We now understand how they play a natural and central role in the Algebraic Calculus also; and in particular their behaviour at infinity determines whether Archimedes’ parabolic area formula extends to them. In this talk we will exhibit related integration and differentiation formulas that undergraduates should meet in a calculus course.

School Seminar Series: