Who is the book for?
English for Mathematics is intended for intermediate and higher level students who specialise in mathematics or are simply interested in it. The underlying assumption is that the students who are going to use this book have more than basic knowledge of mathematics. Therefore, our aim is not to explain the obvious to people whose knowledge of the subject is by far more extensive than ours. The book is by no means exhaustive as the authors decided to focus on the issues addressed during the standard graduate course. We hope that the book will give the students a chance to familiarise themselves with vocabulary and idioms associated with mathematical English in the lightest and most entertaining fashion.
How is the book organised?
The book is made of 18 units. Each unit focuses on one vocabulary area or related vocabulary areas, stated in the title of the unit. Each unit, except unit 18, starts with “Make sure you understand the following terms” section, introducing words and phrases which are essential for understanding and doing the exercises in each unit. It is followed by the practice section, containing exercises as well as some explanatory remarks to better highlight the analysed issue. You will also find examples of specialist vocabulary and collocations in typical contexts. There are also crosswords and quizzes whose aim is not to test the students’ knowledge of mathematics, but rather to motivate them to explore the language and review the key vocabulary. Some units contain the “Pronunciation tips” section, to study pronunciation and stress patterns of words included in the unit. The book has the key at the back.
How to use the book?
You can use English for Mathematics in class or for self-study. We recommend that you work through the first six units of the book first. After that, you may work on the book in any order that suits you. You should keep in mind, however, that the concepts are introduced systematically, so if you come across a term or concept you are not familiar with, you should look it up in previous sections.
- Contents
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INTRODUCTION 7
PHONETIC TRANSCRIPTION IS EASY 9
1. TERMINOLOGY AND SYMBOLS 11
2. NUMBERS 14
3. FOUR BASIC OPERATIONS 21
4. FRACTIONS 35
5. ROOTS, POWERS AND LOGARITHMS 41
6. EQUATIONS AND INEQUALITIES 48
7. MATRICES. MATRIX SOLUTIONS OF LINEAR SYSTEMS 62
8. FUNCTIONS 71
9. CALCULUS 81
10. BASIC CONCEPTS OF TWO-DIMENSIONAL GEOMETRY 90
11. TRIANGLES – BASIC CONCEPTS 95
12. CIRCLES AND ELLIPSES 98
13. QUADRILATERALS AND OTHER POLYGONS 101
14. CONSTRUCTIONS AND PLANE GEOMETRY REVISION EXERCISES 105
15. THREE-DIMENSIONAL GEOMETRIC FIGURES 111
16. TRIGONOMETRY AND THE CARTESIAN COORDINATE SYSTEM 116
17. VECTORS 128
18. MISCELLANEOUS EXERCISES 133
ENGLISH-POLISH GLOSSARY 141
POLISH-ENGLISH GLOSSARY 153
KEY 165
REFERENCES 179