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.
- ISBN10 0471914142
- ISBN13 9780471914143
- Publish Date 25 May 1988
- Publish Status Out of Print
- Out of Print 15 December 2000
- Publish Country GB
- Publisher John Wiley and Sons Ltd
- Imprint John Wiley & Sons Ltd
- Format Hardcover
- Pages 240
- Language English