III. Give synonyms to the following words using the expressions from the text:
industrious/hard-working;
frightening, discouraging;
a lot/very much;
strict/rigid;
exact/;
thinking/logic;
mistaken/imperfect;
evidence/confirmation;
confirm/make sure;
UNIT 5. PURE MATHEMATICS
Before you start
Read the key words:
twin prime conjecture - простые числа, разность между которыми равна 2; числа-близнецы
conjecture – гипотеза, предложение
subset – подмножество, подкласс
continuous quantity – непрерывная величина
rational number – рациональное число
fraction – дробь
quaternion – кватернион
octonion - октонион
exhibit – проявлять, показать
consequence – следствие, результат
constitute – составлять
domain – область, поле, сфера
encompass – содержать, охватывать
higher-dimensional – многомерный
convex geometry – выпуклая геометрия
pursue – заниматься, проявлять интерес
with an eye on – с намерением, с целью
ramification – разветвление
Before you read
I. Look at the subtitles in the text. What 4 main divisions of pure mathematics can you name? The sentences below give definitions to different areas of mathematics. Complete the following sentences and translate them into Russian:
1) A_ _ _ _ _ _ _ _ _ is a branch of mathematics that deals with numbers and their addition, subtraction, multiplication, and division.
2) C_ _ _ _ _ _ _ _ _ _ _ _ is a branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set.
3) L_ _ _ _ _ algebra is a branch of algebra concerned with methods of solving systems of l_ _ _ _ _ equations; more generally, the mathematics of l_ _ _ _ _ transformations and vector spaces.
4) T_ _ _ _ _ _ _ _ _ _ _ is a branch of mathematics that deals with relationships between the sides and angles of triangles.
5) G_ _ _ _ _ _ _ is a branch of mathematics that deals with points, lines, angles, surfaces, and solids.
6) T_ _ _ _ _ _ _ is the mathematical study of shapes and spaces. It is an area of mathematics concerned with the properties of space that are preserved under continuous deformations including stretching and bending, but not tearing or gluing.
7) C_ _ _ _ _ _ _ is an advanced branch of mathematics that deals mostly with rates of change and with finding lengths, areas, and volumes.
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