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2005. - 10 p.
Contents. Implementation. Elementary Functions. Rationale for Branch Cuts and Identities. Inverse trigonometric functions. Inverse hyperbolic functions.
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The 30 Year Horizon M anuel Bronstein James Davenport Albrecht F ortenbacher Jocelyn Guidry M ichael M onagan Jonathan Steinbach Stephen W att
W illiam Burge M ichael Dewar P atrizia Gianni Richard Jenks Scott M orrison Robert Sutor Jim W en
T imothy Daly M artin Dunstan Johannes Grabmeier Larry Lambe W illiam Sit Barry T rager Clif ton W illiamson
Volume 10: Axiom Algebra: Implementation
i Portions Copyright (c) 2005 Timothy Daly The Blue Bayou image Copyright (c) 2004 Jocelyn Guidry Portions Copyright (c) 2004 Martin Dunstan Portions Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. All rights reserved. This book and the Axiom software is licensed as follows: Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: - Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. - Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. - Neither the name of The Numerical ALgorithms Group Ltd. nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
Inclusion of names in the list of credits is based on historical information and is as accurate as possible. Inclusion of names does not in any way imply an endorsement but represents historical influence on Axiom development.
ii Cyril Alberga George Andrews Yurij Baransky Gilbert Baumslag Mark Botch Martin Brock William Burge Bruce Char Gregory V. Chudnovsky Don Coppersmith Gary Cornell Timothy Daly Sr. Jean Della Dora Claire DiCrescendo Martin Dunstan Robert Edwards Richard Fateman Brian Ford Constantine Frangos Marc Gaetano Patricia Gianni Laureano Gonzalez-Vega Matt Grayson Oswald Gschnitzer Vilya Harvey Ralf Hemmecke Pietro Iglio Grant Keady Klaus Kusche Frederic Lehobey Rudiger Loos Camm Maguire Ian Meikle Gerard Milmeister Michael Monagan Mark Murray John Nelder Jinzhong Niu Julian A. Padget Susan Pelzel Claude Quitte Renaud Rioboo Simon Robinson Philip Santas Gerhard Schneider Fritz Schwarz Elena Smirnova Robert Sutor James Thatcher Dylan Thurston Gregory Vanuxem Juergen Weiss James Wen John M. Wiley Stephen Wilson Sandra Wityak Clifford Yapp Evelyn Zoernack
Roy Adler Henry Baker David R. Barton Fred Blair Alexandre Bouyer Manuel Bronstein Quentin Carpent Cheekai Chin Josh Cohen George Corliss Meino Cramer Timothy Daly Jr. Gabriel Dos Reis Sam Dooley Brian Dupee Heow Eide-Goodman Bertfried Fauser Albrecht Fortenbacher Timothy Freeman Rudiger Gebauer Holger Gollan Stephen Gortler James Griesmer Jocelyn Guidry Satoshi Hamaguchi Henderson Richard Jenks Tony Kennedy Bernha