Strange Functions in Real Analysis, Second Edition
1st Edition
Published on 1. January 2000
Book
Hardback
314 pages
978-0-8247-0320-2 (ISBN)
Description
This volume aims to explicate extraordinary functions in real analysis and their applications. It examines the Baire category method, the Zermelo-Fraenkel set, the Axiom of Dependent Choices, Cantor and Peano type functions, the Continuum Hypothesis, everywhere differentiable nowhere monotone functions, and Jarnik's nowhere approximately differentiable functions.
More details
Language
English
Place of publication
New York
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 229 mm
Width: 152 mm
Weight
590 gr
ISBN-13
978-0-8247-0320-2 (9780824703202)
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Schweitzer Classification
Other editions
New editions
Alexander Kharazishvili
Strange Functions in Real Analysis, Second Edition
Book
12/2005
2nd Edition
Chapman & Hall/CRC
€200.56
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Person
Content
Cantor and Peano type functions; singular monotone functions; everywhere differentiable nowhere monotone functions; nowhere approximately differentiable functions; Blumberg's theorem and Sierpinski-Zygmund function; Lebesgue nonmeasurable functions and functions without the Baire property; Hamel basis and Cauchy functional equation; Luzin sets, sierpinski's partition of the Euclidean plane; sup-measurable and weakly sup-measurable functions; ordinary differential equations with bad right-hand sides; nondifferentiable functions from the point of view of category and measure.