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Understanding Real Analysis

Paul Zorn
Book information

Publisher: AK Peters (Natick, Mass.)
Copyright year: 2010
ISBN: 9781568814155
Medium: Hardcover
Pages: 292
Out of print?: N
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Preliminaries: Numbers, Sets, Proofs, and Bounds | Sequences and Series | Limits and Continuity | Derivatives | Solutions

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.

*Mathematics > Calculus and Analysis
*Mathematics > Calculus and Analysis > Calculus

Proofs, Examples, General theory of functions, Sets, Cardinality, Calculus