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Calculus: A Liberal Art

  • William McGowen Priestley

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

Table of contents

  1. Front Matter
    Pages i-xvii
  2. William McGowen Priestley
    Pages 1-32
  3. William McGowen Priestley
    Pages 33-74
  4. William McGowen Priestley
    Pages 75-112
  5. William McGowen Priestley
    Pages 113-151
  6. William McGowen Priestley
    Pages 152-186
  7. William McGowen Priestley
    Pages 187-232
  8. William McGowen Priestley
    Pages 233-285
  9. William McGowen Priestley
    Pages 286-317
  10. Back Matter
    Pages 318-404

About this book

Introduction

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.

Keywords

Derivative Differentialrechnung Integralrechnung algebra calculus differential equation

Authors and affiliations

  • William McGowen Priestley
    • 1
  1. 1.Department of Mathematics and Computer ScienceThe University of the SouthSewaneeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1658-2
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7233-5
  • Online ISBN 978-1-4612-1658-2
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site