人们普遍认为，解决问题是数学学习过程中最重要的部分，因为它迫使学生真正理解定义，梳理定理和证明，并深入思考数学。本书内容由浅入深，理论与实践相融合，旨在通过各种概念问题（总共1457个）成为实分析与泛函分析研究生入门资料的有力补充。问题分为十章，包含了实分析与泛函分析课程通常讲授的主要内容。每章均以一个简要的读者指南开篇，讲述所需的定义和基本结果，并以简短描述的问题作为结束。
问题章有对应的解答章，其中有三分之二的问题配有解答。这些解答用学生能够理解的话写成，通常它们以最“自然”而不是最优雅的方式呈现。

Preface
Part 1.Problems
Chapter 1.Set Theory and Metric Spaces
Problems
Chapter 2.Measures
Problems
Chapter 3.Lebesgue Measure
Problems
Chapter 4.Measurable and Integrable Functions
Problems
Chapter 5.Lp Spaces
Problems
Chapter 6.Sequences of Functions
Problems
Chapter 7.Product Measures
Problems
Chapter 8.Normed Linear Spaces.Functionals
Problems
Chapter 9.Normed Linear Spaces.Linear Operators
Problems
Chapter 10.Hilbert Spaces
Problems
Part 2.Solutions
Chapter 11.Set Theory and Metric Spaces
Solutions
Chapter 12.Measures
Solutions
Chapter 13.Lebesgue Measure
Solutions
Chapter 14.Measurable and Integrable Functions
Solutions
Chapter 15.Lp Spaces
Solutions
Chapter 16.Sequences of Functions
Solutions
Chapter 17.Product Measures
Solutions
Chapter 18.Normed Linear Spaces.Functionals
Solutions
Chapter 19.Normed Linear Spaces.Linear Operators
Solutions
Chapter 20.Hilbert Spaces
Solutions
Index