Modern computer arithmetic

Author(s)

Bibliographic Information

Modern computer arithmetic

Richard P. Brent, Paul Zimmermann

(Cambridge monographs on applied and computational mathematics, 18)

Cambridge University Press, 2011

  • : hbk

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Note

Includes bibliographical references (p. [191]-205) and index

Description and Table of Contents

Description

Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favourite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions to selected exercises are available from the authors.

Table of Contents

  • Preface
  • Acknowledgements
  • Notation
  • 1. Integer arithmetic
  • 2. Modular arithmetic and the FFT
  • 3. Floating-point arithmetic
  • 4. Newton's method and function evaluation
  • Appendix. Implementations and pointers
  • Bibliography
  • Index.

by "Nielsen BookData"

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Details

  • NCID
    BB04043403
  • ISBN
    • 9780521194693
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    xvi, 221 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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