
A Course in Mathematical Analysis 3 Volume Set
1.A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis
2.A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable
3.A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration
《数学分析课程》共三卷,全面而详尽地阐述了本科数学学生在最初两三年学习中可能遇到的所有实分析和复分析要素。本书包含数百道练习题、例题和应用实例,将成为学生和教师的宝贵资源。第一卷着重讲解实变量实值函数的分析。除了阐述基本理论外,本书还介绍了许多应用,包括傅里叶级数的章节。此外,本书还包含一个引言,作者在其中介绍了集合论的公理,并利用这些公理构建了实数系统。第二卷继续探讨度量空间、拓扑空间以及多元函数。第三卷涵盖了复分析以及测度与积分理论。
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