Differentiation of real functions

Bibliographic Information

Differentiation of real functions

Andrew M. Bruckner

(Lecture notes in mathematics, 659)

Springer-Verlag, 1978

  • : Berlin
  • : New York

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Note

Bibliography: p. [234]-244

Description and Table of Contents

Table of Contents

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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