English for students of mathematics and information technology

 

 

Министерство науки и высшего образования Российской Федерации 

 

Федеральное государственное бюджетное образовательное учреждение 

высшего образования  

«Оренбургский государственный университет» 

 
 
 
 

Е.В. Дмитриева, Н.С. Сахарова 

 
 

ENGLISH FOR STUDENTS OF 

MATHEMATICS AND INFORMATION 

TECHNOLOGY 

 
 

Учебное пособие 

 
 
 
 

Рекомендовано 
ученым 
советом 
федерального 
государственного 

бюджетного 
образовательного 
учреждения 
высшего 
образования 

«Оренбургский государственный университет» для обучающихся по 
образовательным программам высшего образования по направлениям 
подготовки 02.03.01 Математика и компьютерные науки, 09.03.01 
Информатика 
и 
вычислительная 
техника, 
01.03.02 
Прикладная 

математика и информатика, 10.05.01 Компьютерная безопасность, 
02.03.02 Фундаментальная информатика и информационные технологии 

 
 
 
 
 
 

Оренбург 

2021 

УДК 81.111 : 61(075.8).773.3 (076.5) 
ББК  81.432.1я73+58я 73 32.973.202я73 
 Д 53 

 Рецензент – профессор, доктор педагогических наук В. В. Мороз 

Д 53 

   Дмитриева, Е.В. 
 English for students of mathematics and information technology 
[Электронный ресурс] : учебное пособие для обучающихся по 
образовательным программам высшего образования по направлениям 
подготовки 02.03.01 Математика и компьютерные науки, 09.03.01 
Информатика и вычислительная техника, 01.03.02 Прикладная 
математика и информатика, 10.05.01 Компьютерная безопасность, 
02.03.02 Фундаментальная информатика и информационные 
технологии / Е. В. Дмитриева, Н. С. Сахарова; М-во науки и высш. 
образования Рос. Федерации, Федер. гос. бюджет. образоват. 
учреждение высш. образования "Оренбург. гос. ун-т". - Оренбург : 
ОГУ. - 2021. - 150 с- Загл. с тит. экрана.
ISBN 978-5-7410-2660-1

Учебное пособие состоит из 10 разделов, в которых представлены 
аутентичные тексты в сфере IT технологий и математики на английском 
языке, грамматический и лексический справочный материал, направленный 
на развитие аналитических, переводческих и коммуникативных умений 
студентов в области высоких технологий. 
Учебное пособие предназначено для студентов 2 курса по 
направлению подготовки 02.03.01 Математика и компьютерные науки, 
09.03.01 Информатика и вычислительная техника, 01.03.02 Прикладная 
математика и информатика, 10.05.01 Компьютерная безопасность, 02.03.02 
Фундаментальная информатика и информационные технологии. 

УДК 81.111 : 61(075.8).773.3 (076.5) 
ББК  81.432.1я73+58я 73 32.973.202я73 

ISBN 978-5-7410-2660-1 

 Дмитриева Е.В.,

Сахарова Н.С.,2021

 ОГУ, 2021

Содержание 

 

Введение ............................................................................................................................... 4 

1 Unit 1 University Training ................................................................................................. 5 

2 Unit 2 Mathematics .......................................................................................................... 10 

3 Unit 3 Fields of Mathematics ........................................................................................... 24 

4 Unit 4 Theories of Mathematics ....................................................................................... 40 

5 Unit 5 Combinatorics ....................................................................................................... 59 

6 Unit 6 Prominent Scientists .............................................................................................. 69 

7 Unit 7 Computational Science ........................................................................................ 110 

8 Unit 8 New Media .......................................................................................................... 119 

9 Unit 9. Computers architecture ...................................................................................... 128 

10 Unit 10. Modern Portable Computers and their applications ....................................... 132 

Список использованных источников ............................................................................ 150 

 
 

 

 

 

 

 

 

 

 

 

 

 

Введение 

 

Данное учебное пособие составлено в рамках ООП по дисциплине 

«Иностранный язык» и предназначено для обучения студентов чтению, пониманию, 

прямому и обратному переводу оригинальных текстов в сфере математики и 

информационных технологий  на английском языке. Текстовый материал пособия 

направлен на развитие аналитических, переводческих и коммуникативных умений 

студентов в IT-технологий. 

 Целью 
пособия 
является 
развитие 
профессионально-ориентированной 

иноязычной компетентности студентов 1 и 2 курсов, по направлениям подготовки 

02.03.01 
Математика 
и 
компьютерные 
науки, 
09.03.01 
Информатика 
и 

вычислительная техника, 01.03.01 Математика, 01.03.02 Прикладная математика и 

информатика (бакалавриат). Пособие состоит из десяти разделов, каждый из 

которых включает аутентичные тексты на английском языке, послетекстовые 

задания и список слов к разделу, разделы  4-6 предназначены для контроля 

сформировавшихся компетенций по результатам освоения дисциплины во 2 и 3 

семестрах.  

Практическая ценность пособия заключается в наличии аутентичного 

материала, системы разнообразных упражнений на развитие аналитических,  и 

коммуникативных умений, а также навыков прямого и обратного перевода текстов 

по специальности с использованием профессиональной терминологии как в 

аудитории под контролем преподавателя, так и самостоятельно. Материалы пособия 

направлены не только на расширение лингвистических, но и профессионально
ориентированных знаний средствами английского языка в процессе выполнения 

коммуникативных заданий.  

 
 

1 Unit 1 University Training 

1.1 The Faculty of Mathematics and Information Technologies 

 

1.1.1 Read and translate text A: 

The faculty of mathematics was set up at the Orenburg State University in 2005. In 

2015 it was reorganized into the faculty of the Faculty of Mathematics and Information 

Technologies. It offers a four or five-years training on the following programs: "Applied 

mathematics and informatics", "Mathematics and Computer sciences", "Computer 

security", "Computer science and computer engineering", "Information security", 

"Mathematics", "Fundamental informatics" and others. 

The training at the faculty is aimed at providing students with fundamental scientific 

knowledge as well as practical skills, research abilities and critical-thinking. The academic 

curricula imply studying fundamental mathematics and advanced information technologies 

during the first two years.  Students are supposed to master such humanitarian subjects 

like history, philosophy, psychology, foreign language (English). They help students to 

form their world outlook and improve their general knowledge and culture. 

Senior students major in various specialized courses and study several programming 

languages, system analysis, informatics, and economics. A considerable part of academic 

time of the whole course of instruction is spent on  various computer systems and 

fundamentals of mathematics. Students can learn, apply and examine different 

programming languages. They are also concerned with controlling and managing the 

software development process. In addition to humanitarian and special subjects they also 

study computer graphics, network design or the Internet. Students have up-to-date 

laboratories, computer classrooms with Internet access at their disposal. 

Students can get optional courses such as “Translator in the sphere of professional 

communication” and “Web-designer”. 

Students attend lectures, practical classes, tutorials and do laboratory works.  At the 

end of each term students take examinations, tests and write course papers. The highly
qualified teachers and lectures are in the university staff. 

The graduates of the mathematics and information technologies faculty are in great 

demand in the Orenburg region economy. Profound knowledge and skills let them take 

high-paid positions in various branches of industry. They can work as  а computer 

software designer, network manager, Internet programmer, software engineer, system 

analyst, database developer, information systems manager. 

The university graduates can take Bachelor's, Master's degree and attend post
graduate course. 

 

1.1.2 Memorize vocabulary to the text: 

purpose – цель; 

academic curriculum – учебная программа; 

world outlook – мировоззрение; 

senior students – студенты старших курсов; 

wide range – широкий выбор; 

considerable part – значительная часть; 

access – доступ; 

post-graduate course – аспирантура; 

research work – научно-исследовательская работа; 

issue – вопрос, проблема; 

software – программное обеспечение;   

assessment – оценка работы; 

on completion – по окончании; 

up-to-date – современный; 

to achieve – достичь; 

to improve – усовершенствовать; 

to master (syn.to acquire) – овладеть, приобрести; 

to provide – обеспечить; 

to be in great demand – пользоваться большим спросом; 

to deal with – иметь дело с ...; 

to be inclined for – иметь склонность к ...; 

to vary – различаться, варьировать. 

 

1.1.3 Translate the following groups of words. Mind the difference in meaning and 

pronunciation, consult the dictionary if necessary: 

mathematics (maths) – mathematical – mathematician; 

to apply – application – applicable; 

to specialize – special – speciality – specialized – specialist; 

to inform - information – informative – informatics; 

to practice – practice – practical – unpractical – practically; 

technology – technological – technique – technician – high-tech; 

economy – economic – economics – economical – economically; 

to compute – computer – computing – computation; 

to add – addition – additional – additionally; 

to act – action – active – activity – to activate; 

to develop – development – underdeveloped – developer; 

to analyze – analysis – analyst – analytical. 

 

1.1.4 Find in the Text A English equivalents for the following Russian phrases: 

 был реорганизован, был основан, факультет математики и информационных 

технологий, направлены на,  основы научных знаний, критическое мышление, 

исследовательские 
навыки, 
учебные 
программы, 
овладевать 
(осваивать), 

формировать мировоззрение, общий уровень культуры и знаний, управлять 

процессом разработки ПО, в дополнение к, современные лаборатории, в 

распоряжении, факультативные курсы, консультации, быть востребованным,  

заниматься в аспирантуре,  отрасли промышленности, высокооплачиваемая работа 

(должность). 

 
 
 
 

1.2 My Speciality (Informatics) 

 

1.2.1 Read and translate text B: 

Computer Literacy 

Informed citizens of our information-dependent society should be computer
literate, which means that they are able to use computers as everyday problem-solving 

devices and aware of the potential of computers to influence the quality of life. 

There was a time when only privileged people had an opportunity to learn the 

basics, called the three R's: reading, writing, and arithmetics. Now, as we are quickly 

becoming an information-becoming society, it is time to restate this right as the right to 

learn reading, writing and computing. There is little doubt that computers and their many 

applications are among the most significant technical achievements of the century. They 

bring with them both economic and social changes. "Computing" is a concept that 

embraces not only the old third R, arithmetics, but also a new idea – computer literacy. 

In an information society a person who is computer-literate need not be an expert 

on the design of computers. He needn't even know much about how to prepare 

programs which are the instructions that direct the operations of computers. All of us 

are already on the way to becoming computer-literate. Just think of your everyday life. If 

you receive a subscription magazine in the post-office, it is probably addressed to you 

by a computer. If you buy something with a bank credit card or pay a bill by check, 

computers help you process the information. When you check out at the counter of your 

store, a computer assists the checkout clerk and the store manager. When you visit your 

doctor, your schedules and bills and special services, such as laboratory tests, are 

prepared by computer. Many actions that you have taken or observed have much in 

common. Each relates to some aspect of a data processing system. 

 

1.2.2 Find in the Text A English equivalents for the following Russian phrases: 

следует; компьютерная грамотность; устройство, обеспечивающее решение 

задач; информационное общество; пересмотреть, переосмыслить; вычисление, 

работа на компьютере; журнал по подписке; обрабатывать; система обработки 

данных.  

 

1.2.3 Answer the questions: 

1 What does the computer literacy mean? 2 What are the three R's? 3 What are the 

most significant technical achievements of the century? 4 What is "Computing"? 5 What 

is program? 6 Where can the computers be used? 

 

1.2.4 Fill in the gaps: 

I'm a _________ at the _______. It was _________ at the Orenburg State University 

in 2005. In 2015 it was reorganized into the faculty of  ________. It  trains students on the 

following programs: ____________. 

My specialty is __________. The training is aimed at providing students with 

_________as 
well 
as 
__________. 
The 
academic 
curricula 
imply 
studying 

__________during the first two years.  Students are supposed to master such humanitarian 

subjects like ________. They help students to form their world outlook and improve their 

general knowledge and culture. 

Senior students major in various specialized courses ________. A considerable part 

of academic time of the whole course of instruction is spent on  _________. Students can 

learn, apply and examine different programming languages: ________. They are also 

concerned with controlling and managing the software development process. In addition to  

humanitarian and special subjects they also study __________. Students have 

______________at their disposal. 

Students can get optional courses such as ____________. 

Students attend ________ and  do _________. At the end of each term  students 

take ________, ________ and write _______. The highly-qualified teachers and lectures 

are in the university staff . 

The graduates of the mathematics and information technologies faculty are 

_________ in the Orenburg region economy. Profound knowledge and skills let them take 

high-paid 
positions 
in 
various 
branches 
of 
industry. 
They 
can 
work 
as  

_________________. 

The university graduates can take _________ degree and attend _________. 

 

1.2.5 Speak on the topic "My Speciality". 

 

2 Unit 2 Mathematics 

2.1 Mathematics 

 

2.1.1 Read and translate text A: 

Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the 

study of topics such as quantity (numbers),structure, space, and change. There is a range of 

views among mathematicians and philosophers as to the exact scope and definition of 

mathematics.  

Mathematicians seek out patterns and use them to formulate new conjectures. 

Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When 

mathematical structures are good models of real phenomena, then mathematical reasoning 

can provide insight or predictions about nature. Through the use of abstraction and logic, 

mathematics developed from counting, calculation, measurement, and the systematic study 

of the shapes and motions of physical objects. Practical mathematics has been a human 

activity for as far back as written records exist. The research required to solve 

mathematical problems can take years or even centuries of sustained inquiry.  

Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's 

Elements (Fig.1). Since the pioneering work of  Giuseppe Peano (1858-1932), David 

Hilbert (1862-1943), and others on axiomatic systems in the late 19th century, it has 

become customary to view mathematical research as establishing truth by rigorous 

deduction from appropriately chosen axioms and definitions. Mathematics developed at a 

relatively slow pace until the Renaissance, when mathematical innovations interacting 

with new scientific discoveries led to a rapid increase in the rate of mathematical 

discovery that has continued to the present day.  

 

 

 

Figure 1 – Euclid (holding calipers), Greek mathematician, 3rd century BC, as 

imagined by Raphael in this detail from The School of Athens 

 

Galileo Galilei (1564-1642) said, "The universe cannot be read until we have 

learned the language and become familiar with the characters in which it is written. It is 

written in mathematical language, and the letters are triangles, circles and other 

geometrical figures, without which means it is humanly impossible to comprehend a single 

word. Without these, one is wandering about in a dark labyrinth." Carl Friedrich Gauss 

(1777-1855) referred to mathematics as "the Queen of the Sciences". Benjamin Peirce 

(1809-1880) called mathematics "the science that draws necessary conclusions". David 

Hilbert said of mathematics: "We are not speaking here of arbitrariness in any sense. 

Mathematics is not like a game whose tasks are determined by arbitrarily stipulated rules. 

Rather, it is a conceptual system possessing internal necessity that can only be so and by 

no means otherwise." Albert Einstein (1879-1955) stated that "as far as the laws of 

mathematics refer to reality, they are not certain; and as far as they are certain, they do not 

refer to reality."  

Mathematics is essential in many fields, including natural science, engineering, 

medicine, finance and the social sciences. Applied mathematics has led to entirely new 

mathematical disciplines, such as statistics and game theory. Mathematicians also engage