Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering. The text presents the first elementary exposition of the gauge integral and offers a clear and thorough introduction to real numbers, developing topics in n--dimensions, and functions of several variables. Detailed treatments of Lagrange multipliers and the Kuhn--Tucker Theorem are also presented. The text concludes with coverage of important topics in abstract analysis, including the Stone--Weierstrass Theorem and the Banach Contraction Principle.
- ISBN10 0471853917
- ISBN13 9780471853916
- Publish Date 1 February 1989
- Publish Status Active
- Publish Country US
- Imprint John Wiley & Sons Inc
- Format Paperback
- Pages 368
- Language English