An introduction to the theory of real functions
Author(s)
Bibliographic Information
An introduction to the theory of real functions
Wiley, c1988
- Other Title
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Wstęp do teorii funkcji rzeczywistych
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Translation of: Wstęp do teorii funkcji rzeczywistych
"A Wiley-Interscience publication."
Bibliography: p. 226
Includes index
Description and Table of Contents
Description
This detailed and thorough introduction to classical real analysis covers both elementary and advanced material. The book also includes a number of topics not normally found in books at this level. Examples are Helly's theorems on sequences of monotone functions; Tonelli polynomials; Bernstein polynomials and absolutely monotone functions; and the theorems of Rademacher and Stepanov on differentiability of Lipschitz continuous functions. A knowledge of the elements of set theory, topology, and differential and integral calculus is required and the book also includes a large number of exercises.
Table of Contents
- Introduction
- Functions of Bounded Variation
- Approximation of Continuous Functions by Polynomials
- Functions on Metric Spaces
- Algebras of Sets and Measurable Functions
- Measure and Measurable Functions
- Integration
- Differentiation
- Appendices
- Exercises
- Bibliography
- Subject Index.
by "Nielsen BookData"