A great mathematician named Madhava, working in Kerala, India, discovered the power series for sin(x) in the 1300s, hundreds of years before Newton, Leibniz, Gregory, Taylor, et al. In this video, master teacher @garyrubinstein shows how Madhava did it:
Students taking a first course in nonlinear dynamics and chaos (or anyone curious about the subject): Videos of lectures are freely available. Hope you enjoy them!
The distinction between subcritical and supercritical bifurcations is always confusing. Today, I tried to explain it in my introductory nonlinear dynamics class.
This book by Purcell was the best textbook I read as an undergraduate. It was so intellectually exciting, and had such fantastic pedagogy! I’m using relevant parts of it for my students this semester in multivariable calculus.
