Rapid growth in the nature and applications of mathematics means that the Newtonian core - calculus,
analysis, and differential equations - is now just one part of a more diverse mathematical landscape. Yet
most scientists have explored only this original territory, because that is all that was included in their
curriculum in high school, college, and graduate school. With the exception of statistics, an old science
widely used across all disciplines that has become largely mathematical during the 20th century, the
narrow Newtonian legacy of analysis is the principal connection between practicing scientists and broad
mathematical foundations of their disciplines.
The dramatic changes in the mathematical sciences of the last quarter century are largely invisible to those
outside the small community of research mathematicians. Today's mathematical sciences, like yesterday's
Gaul, can be divided into three parts of roughly comparable size: statistical science, core mathematics, and
applied mathematics. Each of these three major areas is led (in the United States) by a few thousand active
researches and receives approximately $50 million in federal research support annually. Although the
boundaries between these parts overlap considerably, each province has an identifiable character paradigm
established by Newton: data, deduction, and observation.
Core mathematics investigates properties of number and space, ideas rooted in antiquity. Its tools are
abstraction and deduction; its edifices include functions, equations, operators, and infinite-dimensional
space. Within core mathematics are found the traditional subjects of number theory, algebra, geometry,
analysis, and topology. After a half-century of explosive specialized growth, core mathematics is
experiencing a renaissance of renewed integrity based on the unexpected but welcome discovery of deep
links among its various components.
К подчеркнутой грамматической конструкции подберите соответствующий
18 On coming home I wrote down everything I had seen.

1 приходить; 2 придя; 3 приходящий; 4 пришел.

19 Our meeting him there was a pleasant surprise.

1 встречаясь; 2 встретив; 3 встреча; 4 встречающий.

20 Не didn't feel like discussing anything serious that night.

1 обсуждающий; 2 обсуждать; 3 обсуждая; 4 обсудив.

21 We are interested in opening a new market in this region.

1 открывающийся; 2 открытый; 3 открытие; 4 открывшийся.

22 I stopped greeting him, because we had quarreled.

1 чтобы поздороваться; 2 здороваясь; 3 поздоровавшись; 4 здороваться.

23 I don't like being interfered with.

1 помешал; 2 мешая; 3 мешать; 4 мне мешают.

24 Instead of phoning his friend, he went to see him.

1 звонящий; 2 позвонить; 3 позвонив; 4 позвонил.

25 Swimming is preferable to playing tennis.

1 плавающий; 2 плавание; 3 плавая; 4 поплавав.

26 You begin learning a language by listening to the new sounds.

1 слушая; 2 послушав; 3 слушающий; 4 чтобы слушать.

27 Talking in the library is not allowed.

1 разговаривая; 2 чтобы поговорить; 3 поговорив; 4 разговаривать.

28 Show me the list of experts working out this program.

1 разработали; 2 разработав; 3 разрабатывающих; 4 разрабатывая.

29 Having spent all her money she couldn't afford to take a taxi.

1 тратя; 2 тратить; 3 потраченные; 4 потратив.

30 The e-mail sent on Monday didn't reach them.

1 посланная; 2 отослали; 3 которую надо отослать; 4 отослав.

31 He was having fun playing a computer game.

1 играющий; 2 игра; 3 играя; 4 поиграв.

32 Reading a book I got involved and forgot about my problems.

1 чтобы прочитать; 2 прочитав; 3 читая; 4 чтение.

33 The goods being advertised are not of high quality.

1 рекламируя; 2 рекламировать; 3 рекламируемые;

4 которые необходимо рекламировать.

34 We sent the catalogues to the address indicated.

1 указав; 2 указанный; 3 который надо указать; 4 указал.

35 Having collected the information required, we sent them a fax.

1.собрав; 2.собирая; 3.собранная; 4.необходимо собрать.

34 Looking through the magazine I found several interesting articles.

1 чтобы посмотреть опоздавшие; 2 опоздание; 3 опаздывая; 4 Опоздать