Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3)

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9780691113869: Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3)


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:

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

About the Author:

Elias M. Stein is Professor of Mathematics at Princeton University. Rami Shakarchi received his Ph.D. in Mathematics from Princeton University in 2002.

Review:

"We are all fortunate that a mathematician with the experience and vision of E.M. Stein, together with his energetic young collaborator R. Shakarchi, has given us this series of four books on analysis."--Steven George Krantz, Mathematical Reviews

"This series is a result of a radical rethinking of how to introduce graduate students to analysis. . . . This volume lives up to the high standard set up by the previous ones."--Fernando Q. Gouvêa, MAA Review

"As one would expect from these authors, the exposition is, in general, excellent. The explanations are clear and concise with many well-focused examples as well as an abundance of exercises, covering the full range of difficulty. . . . [I]t certainly must be on the instructor's bookshelf as a first-rate reference book."--William P. Ziemer, SIAM Review

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Stein, Elias M.; Shakarchi, Rami
Editore: Princeton University Press (2005)
ISBN 10: 0691113866 ISBN 13: 9780691113869
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Descrizione libro Princeton University Press, 2005. Soft cover. Condizione libro: New. Condizione sovraccoperta: New. International Edition. Low price guarantee! The book is the brand new international edition textbook with the different ISBN and cover design. The book main content black/white printed in full English as same as the corresponding original US edition. Fast shipments will sent out by DHL/UPS or standard post mail with tracking numbers in one to two working days after the orders confirmed. Codice libro della libreria ABE-16409887515

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Stein, Elias M.; Shakarchi, Rami
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Descrizione libro Princeton University Press, 2005. Soft cover. Condizione libro: New. Condizione sovraccoperta: New. International Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Codice libro della libreria ABE-16409888073

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Descrizione libro 2005. Hardcover. Condizione libro: New. Hardcover. 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.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 424 pages. 0.770. Codice libro della libreria 9780691113869

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Descrizione libro Hardcover. Condizione libro: New. BRAND NEW US edition / FREE UPGRADE to FedEx, UPS or Priority Mail / receive your book within 1-4 business days! / [clean wrapped, well protected] [Authentic edition exactly the same as the Official Listing] [ships within 1 business day] / Free tracking number / Genuine US Bookstore! Get your book in perfect condition! We also ship international via FedEx, UPS, or USPS Express!. Codice libro della libreria AGTRGT110691113866

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Descrizione libro Hardcover. Condizione libro: New. BRAND NEW US edition / [Hardcover] / FREE UPGRADE to FedEx, UPS or Priority Mail / receive your book within 1-4 business days! / [clean wrapped, well protected] [Authentic edition exactly the same as the Official Listing] [ships within 1 business day] / Free tracking number / Genuine US Bookstore! Get your book in perfect condition! We also ship international via FedEx, UPS, or USPS Express!. Codice libro della libreria 0175220170726004000

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Descrizione libro Ewing, New Jersey, U.S.A.: Princeton Univ Pr, 2005. Hardcover. Condizione libro: New. Ship out 1 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,k,t. Codice libro della libreria ABE-7120579263

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Descrizione libro Princeton University Press 2005-03-14, 2005. Paperback. Condizione libro: New. Codice libro della libreria NU-BER-00112995

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Elias M. Stein, Rami Shakarchi, Rami Shakarchi
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Descrizione libro Princeton University Press 2005-05-06, Princeton, N.J. |London, 2005. hardback. Condizione libro: New. Codice libro della libreria 9780691113869

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Descrizione libro Princeton University Press, United States, 2005. Hardback. Condizione libro: New. Language: English . Brand New Book. 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: Codice libro della libreria AAZ9780691113869

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