theory of real number

The theory of real number is the important base of Mathematic Analysis.

实数理论是数学分析的重要基础。

An Application of the Theory of Real Number's Continuity in Plane Geometry

实数连续性理论在平面几何上的应用

The purpose of this note is to point out: the principle of nested intervals is important not only in the theory of real number but for various applied problems.

区间套原理不仅在实数理论中是重要的，而且对于许多应用问题也是重要的。

From the definition of real number, deduces each basic theory successively, thus proving the equivalence.

从实数定义出发, 依次推出各基本定理, 从而证明其等价性.

The Real Number Completeness should be highlighted from the completely recognized theory of the real number collection to the explanation of a series of definitions in the Real Number Theory.

从实数集的完备性的公理出发到讲解“实数理论”的一系列定理及用这些定理证明的后继定理都应该突出“实数集的完备性”。