如果想深入了解度量空间、拓扑空间、紧集、一致连续、映射、算子、测度等建立在现代ZF集合公理基础上的概念，请参看下册，本书可作为实变、复变、泛函、场论、数学物理方程、概率论、微分几何前置课程，扩展性相当强。(If you want to understand the metric space, topological space, compact, uniform continuity, mapping, operator, measur