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

作者: Elias M. Stein
出版社: Princeton University Press
ISBN: 9780691113869

出版时间: 1980
装帧: 精装
页数: 420页

作者: Elias M. Stein
出版社: Princeton University Press

ISBN: 9780691113869
出版时间: 1980

装帧: 精装
页数: 420页

售价 410.00

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上书时间2024-02-16

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外文古旧书 > 英文书 > 自然科学

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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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