Ordering, additional resources...

Important: Birkhauser maintains a web site for the book, containing additional resources, and selected code.

Ordering from north America: through Birkhauser Boston
Ordering from other countries: through Birkhauser 's web site in Switzerland.
 

Aim and scope

The elementary functions (sine, cosine, tan, exponentials, and logarithms) are the most commonly used mathematical functions in science and engineering. Computing these functions quickly and accurately is a major goal in computer arithmetic.

This new book gives the concepts and background necessary to understand and build algorithms for computing these functions, presenting and structuring the algorithms (hardware-oriented as well as software-oriented), and discusses issues related to the accurate floating-point implementation.

The purpose is not to give "cookbook recipes" that allow one to implement some given function, but to provide the reader with the knowledge that is necessary to build, or adapt, algorithms to their specific computing environment.
 
 

Topics and Features

Background material reviewed in Chapter 2, Computer Arithmetic

Polynomial and rational approximations

Table based methods

Shift-and-add algorithms thoroughly covered in part two

The CORDIC algorithm

Range reduction and accuracy covered in part three

Table of Contents    (PostScript)

Transparency masters  (PostScript)

Some programs used in the book

Corrections to the book (typos, etc.)

Some reviews on the book
 
 

Contact

Home page of the author

Send an e-mail to the author

This fascinating book describes the techniques used by high level compilers and by pocket book calculators to generate values of the common elementary mathematical functions. Both the theory and the implementation details of the algorithms are explained in sufficient detail to satisfy the curious or to inform the professional.
ASLIB Book Guide