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Album: Definitions, proofs and examples

Track: Why do we do proofs?


Description: This is the first of three sessions by Dr Joel Feinstein on how and why we do proofs. Dr Feinstein's blog is available at http://explainingmaths.wordpress.com/ The aim of this session is to motivate students to understand why we might want to do proofs, why proofs are important, and how they can help us. In particular, the student will learn the following: proofs can help you to really see WHY a result is true; problems that are easy to state can be hard to solve (Fermat's Last Theorem); sometimes statements which appear to be intuitively obvious may turn out to be false (Simpson's paradox); the answer to a question will often depend crucially on the definitions you are working with. Target audience: suitable for anyone with a knowledge of elementary algebra and prime numbers, as may be obtained by studying A level mathematics.

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/Why-Proofs-09-10-b-.mp4

Duration: 30:39

Size: 63922176

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