This remarkable book explores the simple internal calculator
processes?algorithms and programs?that tell us, for
example, that the cosine of 56? is 0.5591929035. Using carefully
constructed diagrams and figures, the author effectively
demonstrates how calculator keys compute powers, roots, logarithms,
and trigonometry functions, while also providing insights into
simple programming, the conversion between decimal and binary
numeration, and perhaps most importantly, the structure of our
numeration systems. Many people believe that the processes that
drive calculators demand advanced mathematical concepts; however,
this book proves that a minimal understanding of algebra and
geometry is all that is needed to follow the step-by-step
explanations of how scientific calculators work.
Inside Your Calculator: From Simple Programs to Significant
Insights is a complete and multifaceted exercise in critical
thinking. This book features:
A detailed explanation of how to use a graphics calculator and
program basic functions
A discussion of the history of mathematics when appropriate,
which provides a foundation for further learning
Fundamental mathematical lessons and interesting applications of
pre-calculus mathematics
A thorough review of the fundamentals of programming, algebra,
and geometry needed to gain insight into why the algorithms work
and how the results are meaningful in our lives
While the simultaneous use of a calculator is not needed to gain
insight into how the algorithms work, those who do have a
programmable graphics calculator can experiment with the programs
presented in the book. These programs may be used on TI-84 and
TI-83 calculators, and additional information for other Texas
Instruments calculators as well as the Casio FX series is available
on the book's related web site.
As a result of over fifty years of award-winning teaching
experience in both high school and college classrooms, Dr. Rising
anticipates and answers potential questions from readers, and he
successfully brings this subject alive in an illuminating and
entertaining way. This book is therefore not only ideal for
undergraduate mathematics majors as either a primary or
supplemental text, but it also appeals to anyone with an interest
in mathematics and its ideas.
View Dr. Rising's book presentation: http://www.youtube.com/watch?v=aqadHbc2YOA
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