This revision guide for MA244 Analysis III has been designed as an aid to revision, not a substitute for it. In contrast to previous revision guides, this one includes a number of key proofs. (This is no indication of how likely they are to appear on the exam.) Examples are not so critical with Analysis III, but it is important that you can apply the theorems as well as prove them, so consult your notes for the full picture.

Use at your own risk. No guarantee is made that this revision guide is complete, or that it will improve your exam performance. Use of this guide will increase entropy, contributing to the heat death of the universe. Contains no GM ingredients. Your mileage may vary. All your base are belong to us.

This revision guide was originally written by Tim Sullivan in 2001-02, and was revised by David McCormick for the new syllabus this year, based upon lectures by Anthony Manning given in 2006-07. With thanks to Jonathan Elliott, Timothy Williams, Matthew Hutton, Andrew Brendon-Penn and Anthony Manning for their helpful comments. Please email any corrections to d.s.mccormick@warwick.ac.uk.

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