Finite sets and cardinality - Foundations of Pure Mathematics - Dr Joel Feinstein
2,051 views · Published 24 February 2015 · 42:46 · Indexed 27 October 2026
Channel: University of Nottingham · 2015 · Education
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 for download on iTunes U at: https://itunes.apple.com/us/itunes-u/foundations-pure-mathematics/id950755120 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.
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