Центральный Дом Знаний - Writing mathematical papers in English by Jerzy Trzeciak

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Writing mathematical papers in English by Jerzy Trzeciak

by Jerzy Trzeciak


CONTENTS:

Part A: Phrases Used in Mathematical Texts
Abstract and introduction.............................................4
Definition.............................................................g
Notation......................................................... 7
Property..............................................................g
Assumption, condition, convention...................................ю
Theorem: general remarks............................................\2
Theorem: introductory phrase........................................13
Theorem: formulation................................................13
Proof: beginning.....................................................14
Proof: arguments....................................................15
Proof: consecutive steps..............................................\§
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................................................ 32
Quantifiers......................................................... 32
Number, quantity, size...............................................34
How to avoid repetition..............................................33
Word order.................................................... 4Q
Where to insert a comma............................................44
Some typical errors..................................................45
Index................................................................48
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