Dead Reckoning : Calculating Without Instruments
Ronald W. Doerfler
Bok Engelsk 1993 · Electronic books.
Utgitt | Lanham : : Taylor Trade Publishing, , 1993.
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Omfang | 1 online resource (193 p.)
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Opplysninger | Description based upon print version of record.. - Cover; Title Page; Copyright Page; Dedication Page; Table of Contents; Acknowledgment; 1: A Time for Reckoning; 2: Primitives; Addition and Subtraction,; Multiplication,; Division,; The Greatest Common Divisor,; Error-Checking and Divisibility Tests,; Factorization,; A Factoring Game,; 3: Roots; Roots of Perfect Powers,; Particular Square Root Methods,; The Chebyshev Correction,; A General Square Root Algorithm,; The Reciprocal Square Root,; Cube Roots,; Higher-Order Roots,; 4: Logarithms and Their Inverses; General Logarithmic Approximations,; Neighboring Value Relations,. - Intermediate Value Relations,An Iterative Relation,; Approximate Logarithmic Inverses,; An Example Problem,; 5: Trigonometric Functions and Their Inverses; Sine and Cosine Functions,; The Tangent Function,; The Arcsine and Arccosine Functions,; The Arctangent Function,; Other Approximations,; 6: Concluding Remarks; Appendix: Finding Rational Approximations to Precomputed Constants; Index. - No author has gone as far as Doerfler in covering methods of mental calculation beyond simple arithmetic. Even if you have no interest in competing with computers you'll learn a great deal about number theory and the art of efficient computer programming. -Martin Gardner
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ISBN | 0884150879
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