The three major innovations in this book relative to mathematics textbooks are: (i) we have gathered material from very different areas in mathematics, from lattices and convex analysis to measure theory and functional analysis, because they are useful for economists doing regression analysis, working on both static and dynamic choice problems, analyzing both strategic and competitive equilibria; (ii) we try to use concepts familiar to economists - approximation and existence of a solution - to understand analysis and measure theory; and (iii) pedagogically, we provide extensive simple examples drawn from economic theory and econometrics to provide intuition necessary for grasping difficult ideas. It is important to emphasize that while we aim to make this material as accessible as possible, we have not excluded demanding mathematical concepts used by economists and that, aside from examples assuming an undergraduate background in economics, the book is self-contained (i.e. almost any theorem used in proving a given result is itself proved).

这本书相对于数学教科书的三个主要创新是：（i）我们收集了来自数学不同领域的资料，从格点和凸分析到测度理论和泛函分析，因为它们对经济学家进行回归分析、研究静态和动态选择问题很有用，分析战略均衡和竞争均衡；（ii）我们尝试使用经济学家熟悉的概念——近似解和解的存在性——来理解分析和度量理论；以及（iii）教学学，我们提供广泛的简单例子从经济理论和计量经济学，以提供必要的直觉，以掌握困难的想法。必须强调的是，虽然我们的目标是使这些材料尽可能容易获得，但我们并没有排除经济学家所使用的高要求的数学概念，而且，除了假设具有经济学本科背景的例子外，这本书是自成体系的（即，几乎所有用于证明给定结果的定理本身都得到了证明）。