Understanding Real Analysis

Paul Zorn

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January 23, 2010 by A K Peters/CRC Press
Textbook - 362 Pages
ISBN 9781568814155 - CAT# K00535

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Summary

This book is a one-semester text for an introduction to real analysis. The author's primary aims are to develop ideas already familiar from elementary calculus in a rigorous manner and to help students deeply understand some basic but crucial mathematical ideas, and to see how definitions, proofs, examples, and other forms of mathematical "apparatus" work together to create a unified theory. A key feature of the book is that it includes substantial treatment of some foundational material, including general theory of functions, sets, cardinality, and basic proof techniques.