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Differentiation of Real Functions [electronic resource] / by Andrew M. Bruckner.
Material type:
TextSeries: Lecture Notes in Mathematics ; 659Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1978Description: X, 251 p. 1 illus. online resourceContent type: - text
- computer
- online resource
- 9783540357766
- 510 23
- QA1-939
Contents:
In:
Springer eBooks
Preliminaries -- Darboux functions -- Darboux functions in the first class of Baire -- Continuity and approximate continuity of derivatives -- The extreme derivates of a function -- Reconstruction of the primitive -- The Zahorski classes -- The problem of characterizing derivatives -- Derivatives a.e. and generalizations -- Transformations via homeomorphisms -- Generalized derivatives -- Monotonicity -- Stationary and determining sets -- Behavior of typical continuous functions -- Miscellaneous topics.
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Preliminaries -- Darboux functions -- Darboux functions in the first class of Baire -- Continuity and approximate continuity of derivatives -- The extreme derivates of a function -- Reconstruction of the primitive -- The Zahorski classes -- The problem of characterizing derivatives -- Derivatives a.e. and generalizations -- Transformations via homeomorphisms -- Generalized derivatives -- Monotonicity -- Stationary and determining sets -- Behavior of typical continuous functions -- Miscellaneous topics.
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