Functions and sets 
Functions and sets
by University of Nottingham
Video Lecture 20 of 29
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Date Added: March 16, 2015

Lecture Description

The fourteenth lecture in Dr Joel Feinstein's G11FPM Foundations of Pure Mathematics module covers set-valued functions. Images and preimages (inverse images) of sets under functions: definitions, notation and example.
Definition and examples of composition of functions. Associativity of function composition.

The twelfth lecture in Dr Joel Feinstein's G11FPM Foundations of Pure Mathematics module covers notation for recurring decimal expansions. Real numbers with more than one decimal expansion. Real numbers have recurring/terminating decimal expansions if and only if they are rational.

These videos are also available for download on iTunes U at: itunes.apple.com/us/itunes-u/foundations-pure-mathematics/id950755120
Dr Feinstein's blog may be viewed at: explainingmaths.wordpress.com.
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.

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