123456How to Write a Part III Essay
T. W. K¨rner o Trinity Hall
These unofficial notes replace an earlier set by Marj Batchelor which were becoming illegible through repeated photocopying. Many of the key pieces of advice are taken almost word for word from her notes though the elegant picture of a small crustacean has, I am afraid, vanished. I should be glad to have suggestions for additions, corrections and improvements (by e-mail to twk@dpmms.cam.ac.uk or otherwise) both from essay writers and essay markers. These notes were last revised in 2009.

Contents
1 Introduction 1.1 What is the essay? . 1.2 Essay length . . . . . 1.3 Shakespeare it is not 1.4 Nor is it research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3 4 5 5 6 6 6 6 7 7 8 8 9 9 9 10 10

2 Technical points 2.1 How to count words . . . . . . 2.2 Meetings with your assessor . 2.3 How to contact your assessor . 2.4 Unfair means . . . . . . . . . 2.5 Making a timetable . . . . . .

3 How to read a paper 3.1 Why are mathematics papers hard to read? 3.2 How do we read a proof? . . . . . . . . . . . 3.3 Understanding . . . . . . . . . . . . . . . . . 3.4 Some papers are just long proofs . . . . . . 3.5 But all papers have context . . . . . . . . . 3.6 A possible moral . . . . . . . . . . . . . . . 1

4 How to write your essay 4.1 Your purpose . . . . . . . 4.2 Your topic . . . . . . . . . 4.3 The crustacean style . . . 4.4 Your outline . . . . . . . . 4.5 Navigation . . . . . . . . . 4.6 The introduction . . . . . 4.7 The conclusion . . . . . . 4.8 A note on... [continues]

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