A set of numbers for which the four arithmetic operations are defined is called a number field. The set of rational numbers, real numbers, and complex numbers are all number fields, and are called the rational number field, the real number field, and the complex number field, respectively. A subfield of the complex number field is generally called a number field. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
数の集合で,四則演算が定義されているとき,その集合を数体という。有理数,実数,複素数の全体はすべて数体であり,それぞれ有理数体,実数体,複素数体といわれる。一般には複素数体の部分体を数体という。
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