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Differentiation of Real Functions
About this Title
Andrew M Bruckner, University of California, Santa Barbara, Santa Barbara, CA
Publication: CRM Monograph Series
Publication Year:
1994; Volume 5
ISBNs: 978-0-8218-6990-1 (print); 978-1-4704-3851-7 (online)
DOI: https://doi.org/10.1090/crmm/005
MathSciNet review: MR1274044
MSC: Primary 26-01
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Preliminaries
- Chapter 1. Darboux functions
- Chapter 2. Darboux functions in the first class of Baire
- Chapter 3. Continuity and approximate continuity of derivatives
- Chapter 4. The extreme derivatives of a function
- Chapter 5. Reconstruction of the primitive
- Chapter 6. The Zahorski classes
- Chapter 7. The problem of characterizing derivatives
- Chapter 8. Derivatives a.e. and generalizations
- Chapter 9. Transformations via homeomorphisms
- Chapter 10. Generalized derivatives
- Chapter 11. Monotonicity
- Chapter 12. Stationary and determining sets
- Chapter 13. Behavior of typical continuous functions
- Chapter 14. Miscellaneous topics
- Chapter 15. Recent developments