Calculator Calculus

  • George McCarty

Table of contents

  1. Front Matter
    Pages N1-xiv
  2. George McCarty
    Pages 14-26
  3. George McCarty
    Pages 27-36
  4. George McCarty
    Pages 55-63
  5. George McCarty
    Pages 64-80
  6. George McCarty
    Pages 81-99
  7. George McCarty
    Pages 100-116
  8. George McCarty
    Pages 117-129
  9. George McCarty
    Pages 130-144
  10. George McCarty
    Pages 145-167
  11. George McCarty
    Pages 168-183
  12. George McCarty
    Pages 184-201
  13. George McCarty
    Pages 202-219
  14. Back Matter
    Pages 220-256

About this book

Introduction

How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student's own personal involvement and easy accomplishment give hi~ reassurance and en­ couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , •••• Another example is t = 0.1, 0.01, in the function e/3t+9-3)/t. ix difference quotients of numbers, rather than as values of a function that is itself the result of abstract manipulation.

Keywords

Taylor series calculus derivative differential equation logarithm maximum mean value theorem minimum

Authors and affiliations

  • George McCarty
    • 1
  1. 1.University of CaliforniaIrvineUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-6484-9
  • Copyright Information Springer-Verlag US 1982
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-4191-2910-3
  • Online ISBN 978-1-4684-6484-9
  • About this book