# Calculator Calculus

• George McCarty
Book

1. Front Matter
Pages N1-xiv
2. George McCarty
Pages 1-13
3. George McCarty
Pages 14-26
4. George McCarty
Pages 27-36
5. George McCarty
Pages 37-54
6. George McCarty
Pages 55-63
7. George McCarty
Pages 64-80
8. George McCarty
Pages 81-99
9. George McCarty
Pages 100-116
10. George McCarty
Pages 117-129
11. George McCarty
Pages 130-144
12. George McCarty
Pages 145-167
13. George McCarty
Pages 168-183
14. George McCarty
Pages 184-201
15. George McCarty
Pages 202-219
16. Back Matter
Pages 220-256

### 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
• Print ISBN 978-0-4191-2910-3
• Online ISBN 978-1-4684-6484-9