Duality for Polygons and the Fundamental Theorem of Algebra 
Duality for Polygons and the Fundamental Theorem of Algebra
by UNSW / N.J. Wildberger
Video Lecture 13 of 26
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Date Added: July 28, 2011

Lecture Description

In this video lecture, Prof. N.J. Wildberger talks about duality for polygons and the fundamental theorem of algebra. 

We define the dual of a polygon in the plane with respect to a fixed origin and unit circle. This duality is related to the notion of the dual of a cone.Then we give a purely rational formulation of the Fundamental Theorem of Algebra, and a proof which keeps track of the winding number of the image of concentric circles about the origin.

Course Index

Course Description

In this course, Prof. N.J. Wildberger gives 26 video lectures on Algebraic Topology.  This is a beginner's course in Algebraic Topology given by Assoc. Prof. N J Wildberger of the School of Mathematics and Statistics, UNSW. It features a visual approach to the subject that stresses the importance of familiarity with specific examples. It also introduces 'rational curvature', a simple but important innovation. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry.

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