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Album: Foundations of Pure Mathematics

Track: Rational numbers and irrational numbers: further results- Foundations of Pure Mathematics - Dr Joel Feinstein


Description: The fifth lecture in Dr Joel Feinstein's G11FPM Foundations of Pure Mathematics module covers: • The algebra of rational numbers: sums and products of rational numbers are rational (etc.) • Comparison with irrational numbers: investigation of combinations of rational numbers and irrational numbers. • Density of the rationals and the irrationals in the real line. Note the factor 2 error in the last sketch proof, as noted in the call-out. 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-lecture5.mp4

Duration: 47:04

Size: 115945472

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