Strange functions in real analysis
著者
書誌事項
Strange functions in real analysis
（Monographs and textbooks in pure and applied mathematics, 229）
Marcel Dekker, c2000
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注記
Bibliography: p. 279-290
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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