Synopsis
- < f is increasing. The latter part of the book deals with functions of bounded variation and approximately continuous functions. Finally there is an exhaustive chapter on the generalized Cantor sets and Cantor functions. The bibliography is extensive and a great variety of exercises serves to clarify and sometimes extend the results presented in the text.
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From the Back Cover
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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Advanced Analysis
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Springer New York Mai 1996, 1996
ISBN 10: 038794642X
ISBN 13: 9780387946429
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 onan 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. 272 pp. Englisch. Seller Inventory # 9780387946429
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