Jerzy Trzeciak. Writing mathematical papers in English: A practical guide. - Gdansk Teachers' Press, 1993. 48 p.
This booklet is intended to provide practical help for authors of mathematical papers. It is written mainly for non-English speaking writers but should prove useful even to native speakers of English who are beginning their mathematical writing and may not yet have developed a command of the structure of mathematical discourse.
CONTENTS
Part A: Phrases Used in Mathematical Texts
Abstract and introduction.............................................4
Definition.............................................................6
Notation..............................................................7
Property..............................................................8
Assumption, condition, convention...................................10
Theorem: general remarks............................................12
Theorem: introductory phrase........................................13
Theorem: formulation................................................13
Proof: beginning.....................................................14
Proof: arguments....................................................15
Proof: consecutive steps..............................................16
Proof: "it is sufficient to............................................17
Proof: "it is easily seen that .........................................18
Proof: conclusion and remarks.......................................18
References to the literature...........................................19
Acknowledgments....................................................20
How to shorten the paper............................................20
Editorial correspondence.............................................21
Referee's report......................................................21
Part B: Selected Problems of English Grammar
Indefinite article (a, an, —)..........................................23
Definite article (the).................................................24
Article omission......................................................25
Infinitive.............................................................27
Ing-form.............................................................29
Passive voice.........................................................31
Quantifiers...........................................................32
Number, quantity, size...............................................34
How to avoid repetition..............................................38
Word order..........................................................40
Where to insert a comma............................................44
Some typical errors..................................................46
Index................................................................48
