A. M. Bruckner

Differentiation of Real Functions

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics .659
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08910-0
• 1978
• Seitenzahl: 264
• Erscheinungstermin: 1. August 1978
• Englisch
• Abmessung: 244mm x 170mm x 15mm
• Gewicht: 447g
• ISBN-13: 9783540089100
• ISBN-10: 3540089101
• Artikelnr.: 24973618

Inhaltsangabe

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.