*An important topic, which is on the boundary between numerical analysis
and computer science, is the computation of special functions. Indeed,
one has first to derive theoretical methods for that purpose and to be
able to give bounds on the error.*
*Then, these methods have to be turned into efficient, fast and reliable
algorithms. Thus, a knowledge of the computer's arithmetic is mandatory,
since roundings errors have to be taken into consideration. Speed is also
essential and shift-and-add algorithms have to be used. This feature also
requires that one is a computer scientist.*
*This book is devoted to the computation of elementary functions
(such as sine, cosine, tan, exponentials and logarithms) and it is intended
for specialists and inquiring minds as the author says in his preface.
I also think that the book will be very valuable to students both in numerical
analysis and in computer science.*
*The author is well known among people working on computer arithmetic.
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.*

**Claude Brezinski, Numerical Algorithms 15 (1997), pp 385-386**

*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**