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  • Book
  • © 1978

Differentiation of Real Functions

Part of the book series: Lecture Notes in Mathematics (LNM, volume 659)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-X
  2. Preliminaries

    • Andrew M. Bruckner
    Pages 1-2
  3. Darboux functions

    • Andrew M. Bruckner
    Pages 3-7
  4. Darboux functions in the first class of Baire

    • Andrew M. Bruckner
    Pages 8-44
  5. The extreme derivates of a function

    • Andrew M. Bruckner
    Pages 52-70
  6. Reconstruction of the primitive

    • Andrew M. Bruckner
    Pages 71-84
  7. The Zahorski classes

    • Andrew M. Bruckner
    Pages 85-97
  8. The problem of characterizing derivatives

    • Andrew M. Bruckner
    Pages 98-110
  9. Derivatives a.e. and generalizations

    • Andrew M. Bruckner
    Pages 111-122
  10. Transformations via homeomorphisms

    • Andrew M. Bruckner
    Pages 123-146
  11. Generalized derivatives

    • Andrew M. Bruckner
    Pages 147-172
  12. Monotonicity

    • Andrew M. Bruckner
    Pages 173-198
  13. Stationary and determining sets

    • Andrew M. Bruckner
    Pages 199-208
  14. Behavior of typical continuous functions

    • Andrew M. Bruckner
    Pages 209-223
  15. Miscellaneous topics

    • Andrew M. Bruckner
    Pages 224-233
  16. Back Matter

    Pages 234-247

Keywords

  • Differentialrechnung
  • Morphism
  • derivative
  • differential calculus
  • function

Bibliographic Information

  • Book Title: Differentiation of Real Functions

  • Authors: Andrew M. Bruckner

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0069821

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1978

  • Softcover ISBN: 978-3-540-08910-0Published: 01 August 1978

  • eBook ISBN: 978-3-540-35776-6Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 251

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Mathematics

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions