## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

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Page 254

All accepted systems of

complex

analysis). If the system has the property that when a is different from zero there is

a

All accepted systems of

**numbers**, integers, rational**numbers**, and**real**andcomplex

**numbers**have the above properties (see arithmetic; analysis:**Real**analysis). If the system has the property that when a is different from zero there is

a

**number**...Page 282

The geometrical representation of

248) (249) (250) (251) (252) ... H.) Fields Broadly speaking, a field is an algebraic

system consisting of elements that are commonly called numbers, in which the ...

The geometrical representation of

**real numbers**(243) (244) (245) (246) (247) (248) (249) (250) (251) (252) ... H.) Fields Broadly speaking, a field is an algebraic

system consisting of elements that are commonly called numbers, in which the ...

Page 444

The clear exposition of these ideas from the modern point of view is due to Georg

Cantor (1871).

defined by Cantor as infinite sequences, x = (xu x2, x3,...),y = (yu y2, y3, ...),...

The clear exposition of these ideas from the modern point of view is due to Georg

Cantor (1871).

**Real numbers**, including both rational and irrational numbers, aredefined by Cantor as infinite sequences, x = (xu x2, x3,...),y = (yu y2, y3, ...),...

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