Учебное пособие по английскому языку для студентов 2 курса факультета математики и информационных технологий Уфа риц башгу 2020



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пособие для математиков II Мотина О П , Кулыева А А -4

Algebra and Number Theory
Mathematicians of the early eighteenth century completed much of what their predecessors began. In the 19th century, mathematics began its rapid ascent into an abstract world where is thrived still today. So successful was the development of analysis in the 18th century that it seems only natural that the philosophy of abstraction whose principal servant is symbolism would turn its attention in other directions. Two such areas to receive the "treatment" were algebra and number theory. Though number theory had a great boost from Fermat and Euler, there was much to do.
Mathematics has since been greatly extended, and there has been a fruitful interaction between mathematics and science, to the benefit of both. Mathematical discoveries continue to be made today, the overwhelming majority of works contain new mathematical theorems and their proofs.


Comprehension
I. Match the following words to their definitions:

1) mathematical analysis

a) the study of lines, shapes etc that are two-dimensional (=with measurements in only two directions, not three);

2) algebra

b) the branch of mathematics that deals with three-dimensional figures and surfaces;

3) equation

c) the part of mathematics that deals with changing quantities, such as the speed of a falling stone or the slope of a curved line;

4) calculus

d) a type of mathematics that uses letters and other signs to represent numbers and values;

5) solid geometry

e) a branch of mathematics that includes the theories of differentiation, integration, measure, limits, infinite series, and analytic functions;

6) number theory
7) polynomial
8) plane geometry

f) a statement in algebra that contains several different numbers and signs which are equal to a specific amount;
g) a statement in mathematics that shows that two amounts or totals are equal;
e) a branch of pure mathematics devoted primarily to the study of the integers, sometimes called "The Queen of Mathematics" because of its foundational place in the discipline.





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