Book 2016

Writing Proofs in Analysis

Authors:

ISBN: 978-3-319-30965-1 (Print) 978-3-319-30967-5 (Online)

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xx

  2. No Access

    Chapter

    Pages 1-8

    What Are Proofs, and Why Do We Write Them?

  3. No Access

    Chapter

    Pages 9-45

    The Basics of Proofs

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    Chapter

    Pages 47-98

    Limits

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    Chapter

    Pages 99-132

    Continuity

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    Chapter

    Pages 133-158

    Derivatives

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    Chapter

    Pages 159-200

    Riemann Integrals

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    Chapter

    Pages 201-237

    Infinite Series

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    Chapter

    Pages 239-267

    Sequences of Functions

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    Chapter

    Pages 269-293

    Topology of the Real Line

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    Chapter

    Pages 295-340

    Metric Spaces

  12. Back Matter

    Pages 341-347