More on Rational and Irrational Numbers 
More on Rational and Irrational Numbers
by University of Nottingham
Video Lecture 7 of 29
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Date Added: March 15, 2015

Lecture 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 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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