抽象分析基础（第2版）最新版

据说实分析是从中初级微观经济学通往高级微观经济学的必经之路，作者说Royden的《实分析》不好懂，他这本书好懂。

Jewgeni H. Dshalalow, "Foundations of Abstract Analysis 2nd ed."
Publisher: Springer;  | ISBN: 1461459613 | 2012 | PDF | 761 pages | 6.5 MB
作者简介：美国弗罗里达理工学院数学系教授。



内容简介：作者不满于Royden之类名家所写的《实分析》教科书，认为它们太难懂，在多年授课基础上，作者撰写了《实分析》一书。在广受好评的鼓舞下，作者将这本书扩充，一分为二，并重新命名，这是第一本。
Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study. While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability.

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