Amazon cover image
Image from Amazon.com

Differentiation of real functions / Andrew M. Bruckner.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 659.Publication details: Berlin ; New York : Springer, 1978.Description: 1 online resource (x, 246 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540357766
  • 3540357769
Subject(s): Additional physical formats: Print version:Bruckner, Andrew M.: Differentiation of real functions.DDC classification:
  • 515 22
LOC classification:
  • QA3 .L28 no. 659 QA304
Other classification:
  • 31.40
  • SI 850
  • 19a
Online resources:
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.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
 In: Springer Nature eBookSummary: The main purposes of the present notes are to provide a relatively efficient development of the present state of knowledge on the differentiation of real functions, to discuss some of the open problems which are worth investigating, and to provide references to work on topics which the book does not develop in detail.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 234-244).

Use copy Restrictions unspecified star MiAaHDL

Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

Print version record.

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.

English.

The main purposes of the present notes are to provide a relatively efficient development of the present state of knowledge on the differentiation of real functions, to discuss some of the open problems which are worth investigating, and to provide references to work on topics which the book does not develop in detail.

Powered by Koha