LEADER 06036nam 22006375 450 001 9910254833003321 005 20251116182917.0 010 $a3-319-64110-7 024 7 $a10.1007/978-3-319-64110-2 035 $a(CKB)3710000001631411 035 $a(MiAaPQ)EBC4981689 035 $a(DE-He213)978-3-319-64110-2 035 $a(PPN)203853849 035 $a(EXLCZ)993710000001631411 100 $a20170821d2017 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 14$aThe Mathematical-Function Computation Handbook $eProgramming Using the MathCW Portable Software Library /$fby Nelson H.F. Beebe 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (1,115 pages) $cillustrations (some color), graphs, tables 311 08$a3-319-64109-3 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Iterative Solutions and Other Tools -- Polynomial Approximations -- Implementation Issues -- The Floating-Point Environment -- Converting Floating-Point Values to Integers -- Random Numbers -- Roots -- Argument Reduction -- Exponential and Logarithm -- Trigonometric Functions -- Hyperbolic Functions -- Pair-Precision Arithmetic -- Power Function -- Complex Arithmetic Primitives -- Quadratic Equations -- Elementary Functions in Complex Arithmetic -- The Greek Functions: Gamma, Psi, and Zeta -- Error and Probability Functions -- Elliptic Integral Functions -- Bessel Functions -- Testing the Library -- Pair-Precision Elementary Functions -- Accuracy of the Cody/Waite Algorithms -- Improving Upon the Cody/Waite Algorithms -- Floating-Point Output -- Floating-Point Input -- Appendix A: Ada Interface -- Appendix B: C# Interface -- Appendix C: C++ Interface -- Appendix D: Decimal Arithmetic -- Appendix E: Errata in the Cody/Waite Book -- Appendix F: Fortran Interface -- Appendix H: Historical Floating-Point Architectures -- Appendix I: Integer Arithmetic -- Appendix J: Java Interface -- Appendix L: Letter Notation -- Appendix P: Pascal Interface. 330 $aAll major computer programming languages?as well as the disciplines of science and engineering more broadly?require computation of elementary and special functions of mathematics. The MathCW Software Library emphasizes portability, precisely because the code needs to capable of use on a wide variety of platforms. This highly comprehensive handbook provides a substantial advance in such computation, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally useful, author-maintained MathCW website, containing source code for the book?s software, compiled libraries for numerous systems, pre-built C compilers, and other related materials offers a unique approach to covering mathematical-function computation using decimal arithmetic provides extremely versatile appendices for interfaces to numerous other languages:  Ada, C#, C++, Fortran, Java, and Pascal presupposes only basic familiarity with computer programming in a common language, as well as early level algebra supplies a library that readily adapts for existing scripting languages, with minimal effort supports both binary and decimal arithmetic, in up to 10 different floating-point formats covers a significant portion (with highly accurate implementations) of the U.S National Institute of Standards and Technology?s 10-year project to codify mathematical functions This highly practical text/reference is an invaluable tool for advanced undergraduates, recording many lessons of the intermingled history of computer hardware and software, numerical algorithms, and mathematics. In addition, professional numerical analysts and others will find the handbook of real interest and utility because it builds on research by the mathematical software community over the last four decades. 606 $aComputer science?Mathematics 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aPhysics 606 $aCheminformatics 606 $aNumerical analysis 606 $aMathematics of Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I17001 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aComputer Applications in Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C13009 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aComputer science?Mathematics. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aPhysics. 615 0$aCheminformatics. 615 0$aNumerical analysis. 615 14$aMathematics of Computing. 615 24$aMathematical and Computational Engineering. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aComputer Applications in Chemistry. 615 24$aNumerical Analysis. 676 $a004.0151 700 $aBeebe$b Nelson H. F.$4aut$4http://id.loc.gov/vocabulary/relators/aut$0630539 906 $aBOOK 912 $a9910254833003321 996 $aThe Mathematical-Function Computation Handbook$92512556 997 $aUNINA