MARC record from Internet Archive

LEADER: 03465pam a2200313 a 4500
001 5513051
005 20221121180428.0
008 050520t20062006maua b 001 0 eng
010 $a 2005048094
020 $a0817643729 (alk. paper)
035 $a(OCoLC)ocm60500353
035 $a(NNC)5513051
035 $a5513051
040 $aDLC$cDLC$dYDX$dBAKER$dOHX$dOrLoB-B
050 00 $aQA331$b.M866 2006
082 00 $a518/.1$222
100 1 $aMuller, J. M.$q(Jean-Michel),$d1961-$0http://id.loc.gov/authorities/names/n97043073
245 10 $aElementary functions :$balgorithms and implementation /$cJean-Michel Muller.
250 $a2nd ed.
260 $aBoston :$bBirkhäuser,$c[2006], ©2006.
300 $axxii, 265 pages :$billustrations ;$c26 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references (p. [233]-259) and index.
505 00 $g1.$tIntroduction -- $g2.$tSome basic things about computer arithmetic -- $gI.$tAlgorithms based on polynomial approximation and/or table lookup, multiple-precision evaluation of functions -- $g3.$tPolynomial or rational approximations -- $g4.$tTable-based methods -- $g5.$tMultiple-precision evaluation of functions -- $gII.$tShift-and-add algorithms -- $g6.$tIntroduction to shift-and-add algorithms -- $g7.$tThe CORDIC algorithm -- $g8.$tSome other shift-and-add algorithms -- $gIII.$tRange reduction, final rounding and exceptions -- $g9.$tRange reduction -- $g10.$tFinal rounding -- $g11.$tMiscellaneous -- $g12.$tExamples of implementation.
520 1 $a"This 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. New algorithms invented since 1997 - such as Matula's bipartite method, another table-based method due to Ercegovac, Lang, Tisserand, and Muller - as well as new chapters on multiple-precision arithmetic and examples of implementation have been added. In addition, the section on correct rounding of elementary functions has been fully reworked, also in the context of new results. Finally, the introductory presentation of floating-point arithmetic has been expanded, with more emphasis given to the use of the fused multiply-accumulate instruction." "The book 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 the book a useful reference and resource."--BOOK JACKET.
650 0 $aFunctions$xData processing.$0http://id.loc.gov/authorities/subjects/sh2008121325
650 0 $aAlgorithms.$0http://id.loc.gov/authorities/subjects/sh85003487
852 00 $boff,eng$hQA331$i.M866 2006