Vocabulary

1. A list of words to remember:

to accept – принимать

acceptable - приемлемый

addition – сложение

to add; sum

argument (of a complex number) – аргумент комплексного числа

argument by analogy – доказательство по аналогии

argument type list – список формальных параметров

argument variable – переменный аргумент

convincing argument – веский довод

increment of argument – приращение аргумента

complex number – комплексное число; сложное число; аффикс

to define – определять

definition - определение

to denote – обозначать

notation – обозначение; система представления чисел

division – деление

to divide; quotient

explicitly – в явной форме, в явном виде

exponentiation – возведение в степень

exponentiation operator – оператор возведения в степень

identity – единичный элемент; тождественное равенство

imaginary – мнимый

inequality – неравенство

integer – (целое) число

to lack – не содержать, не хватать

lack (n) - нехватка

multiplication – умножение

to multiply; product

to obey – подчиняться; удовлетворять условиям

particular – особый, фиксированный; (n) – частное решение

in particular – а именно, в частности

power - степень

quantity – величина; элемент

real number – вещественное число; действительное число

recognition – признание; распознавание

square root – квадратный корень

subtraction – вычитание

to subtract; difference

to take to power – возвести в степень

Make your own sentences on the topic using the words above.

2. Fill in the gaps in the sentences with these words.

1) … (power) is an arithmetic operation on numbers. It is repeated multiplication, just as multiplication is repeated ….

2) … can be compared in terms of "more", "less" or "equal", or by assigning a numerical value in terms of a unit of measurement.

3) Any number can be expressed in scientific … using the appropriate exponent, or power of 10.

4) The coefficient is not always written … if it happens to be equal to one.

5) In arithmetic, … is one of the four basic binary operations; it is the inverse of addition.

6) The complex number i is purely algebraic. That is, we call it a "number" because it will … all the rules we normally associate with a number.

7) Pioneering attempt towards automatic … of handwritten mathematical expressions dates back to 60's of the previous century.

8) Solving … is very like solving equations: you do most of the same things, but you must also pay attention to the direction of the …(less or greater).

9) In 1637, a very important book was published in France by Rene Descartes. He used the letter 'x', 'y','z' to stand for the unknown amouts in his maths problems. His book became very popular. Other mathematicians followed his practice and started using the letter 'x' to … the unknown.

10) An … solution is one that clearly addresses the problem being addressed, and demonstrates logical thinking by justifying each step.

11) …, students must demonstrate that they understand the significance of quantifiers and conditionals such as "for all", "there exists", "some", "any", "at least one", "if and only if".

Read Text 2 and report on the historical facts connected with complex numbers

Text 2.