|  | Rising, Gerald R.
Inside Your Calculator
From Simple Programs to Significant Insights
 1. Edition - July 2007
53.90 Euro
2007. 304 Pages, Softcover
- Handbook/Reference Book -
ISBN-10: 0-470-11401-0
ISBN-13: 978-0-470-11401-8 - John Wiley & Sons
Sample Chapter
Short description
Inside Your Calculator answers questions about one of those devices: the scientific calculator. Calculator keys seem to work like magic. They tell us, for example, that the cosine of 56? is 0.559192903. This book explores the simple internal calculator processes (called algorithms or programs) that produce this and similar results. Although the text focuses on the calculator keys that compute powers, roots, logarithms, and trigonometry functions, insights are also provided into simple programming, conversion between decimal and binary numeration, and perhaps most important, the structure of our numeration systems.
From the contents
Preface.
PART I: THE SETTING.
Chapter 1. Introduction.
PART II: ALGORITHMS AND PROGRAMS.
Chapter 2. Numbers, Algorithms and Programs.
Chapter 3. Integer Powers.
Chapter 4. Square Root.
Chapter 5. Rational Powers.
Chapter 6. Logarithms.
Chapter 7. Archimedes' Calculation of À.
Chapter 8. Calculating Trigonometric Functions.
Chapter 9. CORDIC Calculation of Cosine.
PART III: DISPLAYING INFORMATION.
Chapter 10. Graphing.
Appendixes.
A. A Primer on Programming.
b. Interpolation.
C. Pre-Electronic Calculation Tools.
D. Fermat's Last Theorem.
E. An Extension and an Application of Integer Division.
F. Binary Arithmetic.
G. Binary Subtraction.
H. The Rapid Convergence of Newton's Method.
I. How Newton's Method Applies to the Square Root Algorithm and the Rth Root of N.
J. The Ancient Greeks Approximate Square root of 2.
K. Continued Fraction Approximations.
L. Multiplying Numbers with Many Digits.
M. Finding Equation Roots by Binary Search.
N. Derivation of the Logarithm Change of Base Formula.
O. The Ratio of Decimal to Binary Digits.
P. Constructing a Log Table.
Q. Relations between Sides of Inscribed and Circumscribed Polygons.
R. Change in Form of a Polygon Formula.
S. An Area Approach to Archimedes' Problem.
Further reading: A Personal Selection.
Index.
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