Skip to main content
SpringerLink
Log in
Book cover
  • Textbook
  • © 1996

An Accompaniment to Higher Mathematics

Authors:

  1. George R. Exner

    1. Department of Mathematics, Bucknell University, Lewisburg, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Reprint of a best-selling title
  • The text is meant to be used interactively, frequently asking the reader to pause and work on an example or a problem before continuing
  • Designed for students preparing to engage in their first struggles to understand and write proofs and to read mathematics independently
  • Bridges the gap between calculus and higher mathematics

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

Sections

Buy it now

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (4 chapters)

  1. Front Matter

    Pages i-xvii
    PDF

  2. Examples

    • George R. Exner
    Pages 1-36

  3. Informal Language and Proof

    • George R. Exner
    Pages 37-66

  4. Formal Language and Proof

    • George R. Exner
    Pages 67-116

  5. Laboratories

    • George R. Exner
    Pages 117-145

  6. Back Matter

    Pages 147-200
    PDF
Back to top

About this book

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.
Back to top

Keywords

Back to top

Authors and Affiliations

  • Department of Mathematics, Bucknell University, Lewisburg, USA

    George R. Exner

Back to top

Bibliographic Information

  • Book Title: An Accompaniment to Higher Mathematics

  • Authors: George R. Exner

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-3998-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1996

  • Softcover ISBN: 978-0-387-94617-7Published: 05 January 1996

  • eBook ISBN: 978-1-4612-3998-7Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XVII, 200

  • Topics: Analysis, Topology, Mathematical Logic and Foundations

Back to top

Publish with us

Policies and ethics

Back to top
Access via your institution

Buy it now

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Search

Navigation