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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-8247-0320-2 (9780824703202)
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Schweitzer Klassifikation
Autor*in
322370442A. Razmadze Mathematical Institute, Tbilisi, Georgia
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.
