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Album: Foundations of Pure Mathematics

Track: Rational numbers, irrational numbers and indirect proofs - Foundations of Pure Mathematics - Dr Joel Feinstein


Description: The fourth lecture in Dr Joel Feinstein's G11FPM Foundations of Pure Mathematics module covers Highest Common Factor (HCF, also known as Greatest Common Divisor, GCD) for integers, and lowest terms for rational numbers. How and why indirect proof (proof by contradiction) works. Examples of indirect proofs, including the proof that the square root of two is irrational. These videos are also available on YouTube at: https://www.youtube.com/playlist?list=PLpRE0Zu_k-BzsKBqQ-HEqD6WVLIHSNuXa Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.

Keywords: pure mathematics, relations, functions, countable and uncountable sets, set theory, binomial coefficients

Author: The University of Nottingham

Category: Mathematics

Web page: http://www.nottingham.ac.uk/mathematics

Thumbnail: http://itunesu.nottingham.ac.uk/media/Mathematics/FoundationsofPureMathematics/images/mathematics-FPM14.jpg

Track media file: http://itunesu.nottingham.ac.uk/media/Mathematics/FoundationsofPureMathematics/video/g11fpm-lecture4.mp4

Duration: 33:36

Size: 82149376

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