Differentiation of real functions. (English) Zbl 0382.26002

Lecture Notes in Mathematics. 659. Berlin-Heidelberg-New York: Springer-Verlag. X, 246 p. DM 27.00; $ 13.50 (1978).


26-02 Research exposition (monographs, survey articles) pertaining to real functions
26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
26A21 Classification of real functions; Baire classification of sets and functions
26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
26A30 Singular functions, Cantor functions, functions with other special properties
26A39 Denjoy and Perron integrals, other special integrals
26A45 Functions of bounded variation, generalizations
26A48 Monotonic functions, generalizations
26A51 Convexity of real functions in one variable, generalizations