数学分析原理（英文版·第3版）

【内容简介】

这是一部近代的数学名著，一直受到数学界的推崇。作为Rudin的分析学经典著作之一，本书在西方各国乃至我国均有着广泛而深远的影响，被许多高校用做数学分析课的必选教材。本书涵盖了高等微积分学的丰富内容，最精彩的部分集中在基础拓扑结构，函数项序列与级数。多变量函数以及微分形式的积分等章节。第3版经过增删与修订，更加符合学生的阅读习惯与思考方式。
本书内容相当精练，结构简单明了，这也是Rudin著作的一大特色。与其说这是一部教科书，不如说这是一部字典。

【目录信息】

Preface
Chapter 1 The Real and Complex Number Systems
Introduction
Ordered Sets
Fields
The Real Field
The Extended Real Number System
The Complex Field
Euclidean Spaces
Appendix
Exercises
Chapter 2 Basic Topology
Finite, Countable, and Uncountable Sets
Metric Spaces
Compact Sets
Perfect Sets
Connected Sets
Exercises
<< 查看详细目录

【前言】

This book is intended to serve as a text for the course in analysis that is usuallytaken by advanced undergraduates or by first-year students who study mathematics.
The present edition covers essentially the same topics as the second one,with some additions, a few minor omissions, and considerable rearrangement. I hope that these changes will make the material more accessible amd more attractive to the students who take such a course.
Experience has convinced me that it is pedagogically unsound (though logically correct) .. << 查看前言

【相关资源】

数学分析原理（英文版·第3版） -所有相关信息