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Album: Foundations of Pure Mathematics

Track: Finite sets and cardinality - Foundations of Pure Mathematics - Dr Joel Feinstein


Description: The sixteenth lecture in Dr Joel Feinstein's G11FPM Foundations of Pure Mathematics module covers cardinality of finite sets: n-sets and k-subsets of sets. Discussion of injections, surjections and bijections between finite sets, including the Pigeonhole Principle. Contrast with infinite sets. Cardinalities of unions of sets: the Inclusion-Exclusion Principle (see Workshop 8 for more details). Binomial coefficients and the Binomial Theorem. 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-lecture16.mp4

Duration: 42:45

Size: 311533568

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