An introduction to the theory of real functions
著者
書誌事項
An introduction to the theory of real functions
Wiley, c1988
- タイトル別名
-
Wstęp do teorii funkcji rzeczywistych
大学図書館所蔵 件 / 全35件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Translation of: Wstęp do teorii funkcji rzeczywistych
"A Wiley-Interscience publication."
Bibliography: p. 226
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
「Nielsen BookData」 より