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Album: Definitions, proofs and examples

Track: How do we do proofs? (Part I)


Description: This is the first of two sessions on how to do proofs. See also Dr Feinstein's blog at http://explainingmaths.wordpress.com/ The aim of these sessions on how we do proofs is to help students with some of the relatively routine aspects of doing proofs. In particular, we focus on how to start proofs, and how and when to use definitions and known results. With practice, students should become fluent in these routine aspects of writing proofs, and this will allow them to focus instead on the more creative and interesting aspects of constructing proofs. Part I is suitable for anyone with a knowledge of elementary algebra (including odd numbers, multiples of eight and the binomial theorem for expanding powers of (a+b)), and functions from the set of real numbers to itself (odd functions, even functions, multiplication and composition of functions).

Keywords: set inclusions, set equalities,sums of subsets of the real line, sum, union, difference, Cartesian products, set differences, set inclusions, bounded sets, unbounded sets, open set, continuous functions, divergent sequences, convergent sequences

Author: Dr Joel Feinstein

Category: Mathematics

Web page: http://explainingmaths.wordpress.com/definitions-proofs-and-examples/

Thumbnail: http://itunesu.nottingham.ac.uk/media/Mathematics/Proofs/images/maths-dpe.jpg

Track media file: http://itunesu.nottingham.ac.uk/media/Mathematics/MathematicalAnalysis/video/How-Proofs-I-0910.mp4

Duration: 29:01

Size: 60582404

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