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    When I was in grad school, a teacher told our workshop that if a published novel is 300 pages, the writer had to generate 1,200 along the way. I... Continue »
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Advanced Analysis: On the Real Line (Universitext)

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Advanced Analysis: On the Real Line (Universitext) Cover

 

Synopses & Reviews

Publisher Comments:

The goal of this book is to provide an extensive collection of results which generalize classical real analysis. Besides discussing density, approximate continuity, and approximate derivatives in detail, culminating with the Denjoy-Saks-Young Theorem, the authors also present an interesting example due to Ruziewicz on an infinite number of functions with the same derivative (not everywhere finite) but the difference of any two is not a constant and Sierpinski's theorem on the extension of approximate continuity to nonmeasurable functions. There is also a chapter on monotonic functions and one dealing with the Tonelli-Goldowsky result of the weakening of the hypotheses on a function f such that f'r > -

Synopsis:

The goal of this book is to provide an extensive collection of results which generalizes classical real analysis. The authors discuss density, approximate continuity, and approximate derivatives in detail, culminating with the Denjoy-Saks-Young Theorem.

Description:

Includes bibliographical references (p. 253-256) and index.

Product Details

ISBN:
9780387946429
Author:
R. Kannan and Carole King Krueger
Publisher:
Springer
With:
Krueger, Carole King
Author:
Kannan, R.
Author:
Krueger, Carole King
Author:
Kannan, Rangacesari
Location:
New York
Subject:
Mathematical Analysis
Subject:
Functions of real variables
Subject:
Statistics - Multivariate analysis
Subject:
Probability & Statistics - Multivariate Analysis
Subject:
Mathematics-Analysis General
Copyright:
Series:
Universitext
Series Volume:
103-383
Publication Date:
May 1996
Binding:
TRADE PAPER
Language:
English
Pages:
259
Dimensions:
9.11x6.06x.76 in. .84 lbs.

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Related Subjects

» Science and Mathematics » Mathematics » Analysis General
» Science and Mathematics » Mathematics » General

Advanced Analysis: On the Real Line (Universitext) New Trade Paper
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Product details 259 pages Springer - English 9780387946429 Reviews:
"Synopsis" by , The goal of this book is to provide an extensive collection of results which generalizes classical real analysis. The authors discuss density, approximate continuity, and approximate derivatives in detail, culminating with the Denjoy-Saks-Young Theorem.
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