Synopsis
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.
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Review
"The book is written with clear and understandable language and its accessible even for graduate students." -- Zentralblatt fur Mathematik, 2000
"...devised to be a handbook for analysts but it can also be useful to the investigators of structural problems." -- Chem. Anal
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Strange Functions in Real Analysis (Pure & Applied Mathematics. a Series of Monographs and Textbooks)
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Marcel Dekker, New York & Basel, 2000
ISBN 10: 0824703200
ISBN 13: 9780824703202
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