Differentiation of Real Functions

Inhaltsverzeichnis

• 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.