"An important topic, which is on the boundary between numerical analysis and computer science.... I found the book well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find. Moreover, there are very few books on these topics and they are not recent."

-Numerical Algorithms (review of the first edition)

This unique book 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 second edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. Graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find the book a useful reference and resource.

Some Basic Things About Computer Arithmetic.- Some Basic Things About Computer Arithmetic.- Algorithms Based on Polynomial Approximation and/or Table Lookup, Multiple-Precision Evaluation of Functions.- Polynomial or Rational Approximations.- Table-Based Methods.- Multiple-Precision Evaluation of Functions.- Shift-and-Add Algorithms.- to Shift-and-Add Algorithms.- The CORDIC Algorithm.- Some Other Shift-and-Add Algorithms.- Range Reduction, Final Rounding and Exceptions.- Range Reduction.- Final Rounding.- Miscellaneous.- Examples of Implementation.