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Introduction to Real Analysis

Introduction to Real Analysis
Author: John DePree - Charles Swartz
ISBN 13: 9780471853916
ISBN 10: 471853917
Edition: 1
Publisher: Wiley
Publication Date: 1988-06-14
Format: Hardcover
Pages: 355
List Price: N/A

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.