1.01 Winding numbers and the fundamental theorem of algebra
Channel: Jonathan Evans
Date: 2018-09-12

A sketch proof of the fundamental theorem of algebra using winding numbers; this introduces the key ideas of homotopy and homotopy invariance of winding number, which will lead us to develop the notion of the fundamental group. For notes, see here: http://www.homepages.ucl.ac.uk/~ucahjde/tg/html/pi1-01.html