现货 Real Analysis: Measure Theory, Integration, and Hilbert Spaces 英文原版 实分析 复分析 泛函分析 傅立叶分析 调和分析 伊莱亚斯M.斯坦恩 EliasM.Stein 实分析：测度理论，积分和希尔伯特空间
￥ 410 九五品
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北京昌平
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作者Elias M. Stein
出版社Princeton University Press
ISBN9780691113869
出版时间1980
装帧精装
页数420页
货号G
上书时间2024-02-16
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- 品相描述：九五品
- 新书，线装，封面边角轻微磨损，书衣有一个小洞，其余全新，图片实拍。
- 商品描述
- Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, the authors move to the elements of Hilbert space, via the L2 theory. They next present basic illustrations of these concepts from Fourier analysis, partial differential equations, and complex analysis. The final part of the book introduces the reader to the fascinating subject of fractional-dimensional sets, including Hausdorff measure, self-replicating sets, space-filling curves, and Besicovitch sets. Each chapter has a series of exercises, from the relatively easy to the more complex, that are tied directly to the text. A substantial number of hints encourage the reader to take on even the more challenging exercises. As with the other volumes in the series, Real Analysis is accessible to students interested in such diverse disciplines as mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels. Also available, the first two volumes in the Princeton Lectures in Analysis:
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