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Edited By Owen Burkinshaw, Indiana University-Purdue University, Indianapolis , U.S.A. By Charalambos Aliprantis, Purdue University, Indianapolis, U.S.A. Description With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis. Audience Upper-level graduate or undergraduate students studying real analysis. Contents Fundamentals of Real Analysis Topology and Continuity The Theory of Measure The Lebesgue Integral Normed Spaces and Lp-Spaces Hilbert Spaces Special Topics in Integration Bibliography

数学分析原理-Rudin著，资源清晰完整，下载所需积分低，下载后请给好评，谢谢

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是一部现代数学名著，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。

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McGrawHill 出版社，影印原版，djvu格式