Elementary Functions: Algorithms and Implementation
Henderson, Darrall, Mathematics and Computer Education
ELEMENTARY FUNCTIONS: ALGORITHMS AND IMPLEMENTATION
by Jean-Michel Muller Birkhouser, 1997, 204 pp.
This book is intended for practitioners and advanced undergraduates or graduate students interested in techniques for using algorithms to approximate the elementary functions (sine, cosine, exponential, logarithms... ). It is not a textbook, but a reference for those who wish to gain an understanding of the theory behind designing algorithms to approximate functions. The book is also a good reference for anyone interested in designing or analyzing the efficiency of algorithms.
Elementary Functions: Algorithms and Implementation is well written, and documented with examples and illustrations where appropriate. The author avoids rewriting well-known proofs cited in the references, and presents a thorough survey of approximation algorithms. Although the author's intent is to reach readers with only a basic understanding of computers and mathematics, the book requires more than a moderate background in computer science. The author presents a short chapter in computer arithmetic to help overcome this limitation. …