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An Accompaniment to Higher Mathematics

  • George R. Exner

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. George R. Exner
    Pages 1-36
  3. George R. Exner
    Pages 37-66
  4. George R. Exner
    Pages 67-116
  5. George R. Exner
    Pages 117-145
  6. Back Matter
    Pages 147-200

About this book

Introduction

For Students Congratulations! You are about to take a course in mathematical proof. If you are nervous about the whole thing, this book is for you (if not, please read the second and third paragraphs in the introduction for professors following this, so you won't feel left out). The rumors are true; a first course in proof may be very hard because you will have to do three things that are probably new to you: 1. Read mathematics independently. 2. Understand proofs on your own. :1. Discover and write your own proofs. This book is all about what to do if this list is threatening because you "never read your calculus book" or "can't do proofs. " Here's the good news: you must be good at mathematics or you wouldn't have gotten this far. Here's the bad news: what worked before may not work this time. Success may lie in improving or discarding many habits that were good enough once but aren't now. Let's see how we've gotten to a point at which someone could dare to imply that you have bad habits. l The typical elementary and high school mathematics education in the United States tends to teach students to have ineffective learning habits, 1 In the first paragraph, yet. xiv Introduction and we blush to admit college can be just as bad.

Keywords

calculus proof set set theory topology

Authors and affiliations

  • George R. Exner
    • 1
  1. 1.Department of MathematicsBucknell UniversityLewisburgUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-3998-7
  • Copyright Information Springer-Verlag New York 1996
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94617-7
  • Online ISBN 978-1-4612-3998-7
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site
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