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Real analysis : modern techniques and their applications Folland, Gerald B.(著) - Wiley
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出版者情報

書店注文情報

9780471317166

Real analysis : modern techniques and their applications

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発行:Wiley
価格情報なし
ISBN
978-0-47131716-6   COPY
ISBN 13
9780471317166   COPY
ISBN 10h
0-47131716-0   COPY
ISBN 10
0471317160   COPY
出版社在庫情報
不明
初版年月日
c1999-01
登録日
2016年4月15日
最終更新日
2016年4月15日
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紹介

An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: Revised material on the n-dimensional Lebesgue integral. An improved proof of Tychonoff's theorem. Expanded material on Fourier analysis.
A newly written chapter devoted to distributions and differential equations. Updated material on Hausdorff dimension and fractal dimension.

目次

Measures. Integration. Signed Measures and Differentiation. Point Set Topology. Elements of Functional Analysis. L p Spaces. Radon Measures. Elements of Fourier Analysis. Elements of Distribution Theory. Topics in Probability Theory. More Measures and Integrals. Bibliography. Indexes.

上記内容は本書刊行時のものです。