So tiny its square is zero!? | Dual numbers, polynomial rings and finite fields скачать в хорошем качестве

So tiny its square is zero!? | Dual numbers, polynomial rings and finite fields

In this video, we begin with exploring the square root of zero, and how it can be used to do calculus without limits! We also look at polynomial rings, and finite fields. --- Further reading: Frank Luebecks Homepage on the polynomials we use to make finite fields: http://www.math.rwth-achen.de/~Frank.... Wikipedia article on dual numbers: https://en.wikipedia.org/wiki/Dual_nu... Wikipedia article on finite fields: https://en.wikipedia.org/wiki/Finite_... --- Shapes & Sizes is a math-themed youtube channel run by Torstein Vik, which explores the more exotic shapes and sizes that arise in mathematics, such as unusual number systems, new approaches to mathematical philosophy, and some of the magical connections that arise in mathematics. Subscribe if you want to see more of this kind of content! --- Music: Gymnopédie 1 - Erik Satie A special thanks to all my friends who have helped me on various stages of this video.