Elementary Real Analysis
by B. S. Thomson, J. B. Bruckner, A. M. Bruckner
Publisher: Prentice Hall 2001
Number of pages: 735
Elementary Real Analysis is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the "big picture" and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. Covers metric spaces. Ideal for readers interested in mathematics, particularly in advanced calculus and real analysis.
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by Robert Rogers, Eugene Boman - Open SUNY Textbooks
This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. The book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments.
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The author used only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Complex Variables.
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