# iTunes U albums

### 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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