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This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standard’s technical features. Algorithms for floating-point arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design.

The volume itself breaks its core topic into four parts: the basic concepts and history of floating-point arithmetic; methods of analyzing floating-point algorithms and optimizing them; implementations of IEEE 754-2008 in hardware and software; and useful extensions to the standard floating-point system, such as interval arithmetic, double- and triple-word arithmetic, operations on complex numbers, and formal verification of floating-point algorithms. This new edition updates chapters to reflect recent changes to programming languages and compilers and the new prevalence of GPUs in recent years. The revisions also add material on fused multiply-add instruction, and methods of extending the floating-point precision. 

As supercomputing becomes more common, more numerical engineers will need to use number representation to account for trade-offs between various parameters, such as speed, accuracy, and energy consumption. The Handbook of Floating-Point Arithmetic is designed for students and researchers in numerical analysis, programmers of numerical algorithms, compiler designers, and designers of arithmetic operators. 

Handbook of Floating-Point Arithmetic

$105.00 Regular Price
$31.50Sale Price
    • PublisherBirkhäuser Cham
    • eBook PackagesMathematics and Statistics, Mathematics and Statistics 
    • Copyright InformationSpringer International Publishing AG, part of Springer Nature 2018
    • Hardcover ISBN978-3-319-76525-9
    • Published: 24 May 2018
    • Softcover :ISBN978-3-030-09513-0
    • Published: 03 January 2019
    • eBook :ISBN978-3-319-76526-6
    • Published: 02 May 2018
    • Edition Number2
    • Number of Pages: 640
    • Number of Illustrations:59 b/w illustrations, 5 illustrations in colour
  • Jean-Michel Muller (coordinator), CNRS, Laboratoire LIP, AriC teamNicolas Brunie, Kalray
    Florent de Dinechin, INSA Lyon, Laboratoire CITI, Socrate team
    Claude-Pierre Jeannerod, Inria, Laboratoire LIP, AriC team
    Mioara Joldes, CNRS, LAAS, MAC team
    Vincent Lefèvre, Inria, Laboratoire LIP, AriC team
    Guillaume Melquiond, Inria, Laboratoire LRI, Toccata team
    Nathalie Revol, Inria, Laboratoire LIP, AriC team
    Serge Torres, ENS de Lyon, Laboratoire LIP, AriC team

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