Nelson H. F. Beebe

The Mathematical-Function Computation Handbook (eBook, PDF)

Programming Using the MathCW Portable Software Library

• Format: PDF

Produktbeschreibung

Describes the computation of mathematical functions in decimal arithmetic, including coverage of 256-bit floating-point formats

Covers a major part of the NIST Handbook of Mathematical Functions, with highly accurate implementations in up to 10 floating-point formats

Describes implementation in the C programming language, and also provides interfaces to Ada, C#, C++, Fortran, Java, and Pascal

Pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, including to important historical architectures

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 1115
• Erscheinungstermin: 20. August 2017
• Englisch
• ISBN-13: 9783319641102
• Artikelnr.: 53062105

Autorenporträt

¿Dr. Nelson H.F. Beebe is a Research Professor and Software Specialist in the Department of Mathematics at the University of Utah, USA. He has a diverse background in chemistry, physics, mathematics, computer science, systems management, and typography, having studied, worked, and taught in three countries. He has written extensive software projects in numerous programming-language, operating-system, and hardware environments. His bibliographic database work has exposed him to a wide range of journals on current research.

Inhaltsangabe

Introduction.- 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.