Elementary Functions: Algorithms and Implementation

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.