Differentiation of Real Functions [Paperback]

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.Springer Book Archives