说句老实话,绝大部分的经济学用不到什么“高深”的数学,大部分都是一百多年前就well-developed的数学成果(当然像Ito’s Lemma之类的比较晚)。如果要归纳,无外乎几大类:实分析 real analysis (see baby Rudin, or more advanced, Real Analysis by Folland), 拓扑 topology (mainly point-set topology, see Topology by Munkres), 测度论 measure theory (see Real Analysis: Measure Theory, integration, and Hilbert Spaces by E.M. Stein), 以及偏应数的optimization (see A First Course in Optimization Theory by Sundaram),differential equations, probability theory including stochastic process and stochastic calculus (这方面的书太多了),当然还有更为基础的像微积分,线性代数,set theory之类的就不提了,以及少部分的logic, abstract algebra(以及其它我不知道)
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