《实变函数论与泛函分析:上册•第2版修订本》内容简介：本版保持了初版的思想体系和基本结构，从局部来看作了一定程度的修改。在编写初版时，我们对《实变函数论与泛函分析:上册•第2版修订本》编写的思想体系和基本结构给予了较多的考虑。但由于某些内容过去就很少有作为基础课讲授的教学经验，另一方面也由于当时编写时间比较仓促，因此从具体内容处理的技术方面来看，确有必要进行一次较全面的、细致的修订。本次修订，是在作者对初版进行了两次教学实践和兄弟院校使用初版后提出意见的基础上进行的。

这是一部泛函分析教材。它系统地介绍线性泛函分析的基础知识。全书共分四章： 度量空间；线性算子与线性泛函；广义函数与Coболев空间；以及紧算子与Fredholm算子。《泛函分析讲义(上)》的主要特点是它侧重于分析若干基本概念和重要理论的来源和背景，强调培养读者运用泛函方法解决问题的能力，注意介绍泛函分析理论与数学其它分支的联系。书中包含丰富的例子与应用，对于掌握基础理论有很大帮助。此书适用于理工科大学本科生与研究生阅读，并且可供一般的数学工作者、物理工作者、工程技术人员参考。为便于读者学习，本次重印书末增加了习题补充提示和索引，以供读者参考。

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

微积分和数学分析引论（第1卷 英文版），ISBN：9787506291651，作者：（美）库兰特