【2014新书】

大学实分析（含泛函分析初步）

Real Analysis for the Undergraduate: With an Invitation to Functional Analysis By Matthew A. Pons
2014 | 423 Pages | ISBN: 1461496373 | PDF | 4 MB
【作者简介】
Matthew A. Pons为美国North Central College（位于Naperville, IL, USA）数学教授。

【教材简介】
This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author’s engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to reinforce theory; - thorough explanations preceding definitions, theorems and formal proofs; - illustrations to support intuition; - over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum.
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