Differentiation of Real Functions
Bruckner, Andrew M.
Differentiation of Real Functions [electronic resource] / by Andrew M. Bruckner. - X, 251 p. 1 illus. online resource. - Lecture Notes in Mathematics, 659 0075-8434 ; . - Lecture Notes in Mathematics, 659 .
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.
9783540357766
10.1007/BFb0069821 doi
Mathematics.
Mathematics, general.
QA1-939
510
Differentiation of Real Functions [electronic resource] / by Andrew M. Bruckner. - X, 251 p. 1 illus. online resource. - Lecture Notes in Mathematics, 659 0075-8434 ; . - Lecture Notes in Mathematics, 659 .
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.
9783540357766
10.1007/BFb0069821 doi
Mathematics.
Mathematics, general.
QA1-939
510