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Zorn P. Understanding Real Analysis

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Zorn P. Understanding Real Analysis
2тd Edition. — CRC Press, Taylor & Francis Group, US, 2018. — 355 p. — ISBN: 1138033014.
Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their current level and helps them develop a foundation in real analysis. The author brings definitions, proofs, examples and other mathematical tools together to show how they work to create unified theory. These helps students grasp the linguistic conventions of mathematics early in the text. The text allows the instructor to pace the course for students of different mathematical backgrounds.
Preliminaries: Numbers, Sets, Proofs, and Bounds
Sequences and Series
Limits and Continuity
Derivatives
Integrals
Selected Solutions
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