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Calculus: A Liberal Art

  • Textbook
  • © 1998

Overview

Authors:
  1. William McGowen Priestley

    1. Department of Mathematics and Computer Science, The University of the South, Sewanee, USA

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  • With only a modest amount of high school mathematics required as background and algebraic manipulations kept at a simple level (except for optional material giving stronger students brief glimpses for deeper ideas of real analysis) this text is suitable for a one-semester course designed to fulfill general education requirements.

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Tokens from the Gods

    • William McGowen Priestley
    Pages 1-32

  3. Rational Thoughts

    • William McGowen Priestley
    Pages 33-74

  4. To Measure Is to Know

    • William McGowen Priestley
    Pages 75-112

  5. Sherlock Holmes Meets Pierre de Fermat

    • William McGowen Priestley
    Pages 113-151

  6. Optimistic Steps

    • William McGowen Priestley
    Pages 152-186

  7. Chains and Change

    • William McGowen Priestley
    Pages 187-232

  8. The Integrity of Ancient and Modern Mathematics

    • William McGowen Priestley
    Pages 233-285

  9. Romance in Reason

    • William McGowen Priestley
    Pages 286-317

  10. Back Matter

    Pages 318-404
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Keywords

About this book

reason for delaying its study has to do with the question of mathematical maturity. * No use is made here of trigonometric, logarithmic, or expo­ nential functions except in occasional optional material indicating how such functions can be handled. A perceptive remark made by George P6lya suggests how we can simultaneously learn mathematics and learn "about" mathematics-i.e., about the nature of mathematics and how it is developed: If the learning of mathematics reflects to any degree the invention of mathematics, it must have a place for guessing, for plausible inference. The reader will find plenty of opportunity here for guessing. The early chapters go at a gentle pace and invite the reader to enter into the spirit of the investigation. Exercises asking the reader to "make a guess" should be taken in this spirit-as simply an invitation to speculate about what is the likely truth in a given situation without feeling any pressure to guess "correctly". Readers will soon realize that a matter about which they are asked to guess will likely be a topic of serious discussion later on.

Authors and Affiliations

  • Department of Mathematics and Computer Science, The University of the South, Sewanee, USA

    William McGowen Priestley

Bibliographic Information

  • Book Title: Calculus: A Liberal Art

  • Authors: William McGowen Priestley

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-1658-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • Hardcover ISBN: 978-0-387-98379-0Published: 23 April 1998

  • Softcover ISBN: 978-1-4612-7233-5Published: 23 October 2012

  • eBook ISBN: 978-1-4612-1658-2Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 2

  • Number of Pages: XVII, 404

  • Topics: Analysis, Algebra

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