Elementary Functions: Algorithms and Implementation

ISBN-13: 9781489979810 / Angielski / Twarda / 2016 / 283 str.

Jean-Michel Muller

Opis

This unique textbook provides concepts and background necessary to understand and build algorithms for computing the elementary functions sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation. The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment.This expanded third edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. Specifically, the chapters on polynomial and rational approximations, table-based methods, multiple-precision calculations, and final rounding will be heavily rewritten to include recent advances, applications, and function software.Elementary Functions: Algorithms and implementation is an up-to-date presentation of information needed to understand and accurately use mathematical functions and algorithms in computational work and design. Graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find this a useful reference and resource."

Recenzje

"This book ... mainly targets professionals designing new hardware and software and provides an occasional reference for specialists who need to return to the basics to overcome highly particular computational difficulties. ... Summing Up: Recommended. Lower-division undergraduates and above; faculty and professionals." (D. V. Feldman, Choice, Vol. 54 (11), July, 2017)

O autorze

Jean-Michel Muller was born in Grenoble, France, in 1961. He received his Ph.D. degree in 1985 from the Institut National Polytechnique de Grenoble. He is Directeur de Recherches (senior researcher) at CNRS, France. His research interests are in Computer Arithmetic. He is the author or co-author of several books, including  the ”Handbook of Floating-Point Arithmetic (Birkhauser, 2010). He is an associate editor of the IEEE Transactions on Computers, and a senior member of the IEEE.