Strange functions in real analysis /
Collection : Pure and applied mathematics ; . 272 Mention d'édition :2nd ed. Publié par : Chapman & Hall/CRC, (Boca Raton, FL :) Détails physiques : xii, 415 pages ; 24 cm. ISBN :1584885823; 9781584885825.
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Functions of real variables.
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Analyse fonctionnelle.
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Fonctions de variables réelles.
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Functional analysis.
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Functions of real variables.
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Analytische functies.
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Real functions.
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Reella funktioner.
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CRCnetBASE
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Table of contents
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Publisher description
| Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
|---|---|---|---|---|---|---|
| Livre | La bibliothèque des Sciences Exactes et Naturelles | 515.7 KHA (Parcourir l'étagère) | Disponible | 0000000026762 |
Includes bibliographical references (pages 393-409) and index.
Cantor and Peano type functions -- Functions of first Baire class -- Semicontinuous functions that are not countably continuous -- Singular monotone functions -- Everywhere differentiable nowhere monotone functions -- Nowhere approximately differentiable functions -- Blumberg's theorum and Sierpiński-Zygmund functions -- Lebesgue nonmeasurable functions and functions without the Baire property -- Hamel basis and Cauchy functional equation -- Luzin sets, Sierpiński sets, and their applications -- Absolutely nonmeasurable additive functions -- Egorov type theorems -- Sierpiński's partition of the Euclidean plane -- Bad functions defined on second category sets -- Sup-measurable and weakly sup-measurable functions -- Generalized step-functions and superposition operators -- Ordinary differential equations with bad right-hand sides -- Nondifferentiable functions from the point of view of category and measure.
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