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  3. Modern Computer Arithmetic
  • Cited by 145
      • Richard P. Brent, Australian National University, Canberra, Paul Zimmermann, Institut National de Recherche en Informatique et en Automatique (INRIA), Nancy
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2012
      November 2010
      ISBN:
      9780511921698
      9780521194693
      DOI:
      https://doi.org/10.1017/CBO9780511921698
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.47kg, 236 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computational Science, Computer Science
      Series:
      Cambridge Monographs on Applied and Computational Mathematics (18)
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    • Selected: Digital
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    Subjects:
    Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computational Science, Computer Science
    Series:
    Cambridge Monographs on Applied and Computational Mathematics (18)
    Information

    Book 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.

    Reviews

    'Very few books do justice to material that is suitable for both professional software engineers and graduate students. This book does just that, without losing its focus or stressing one audience over the other. As the authors make clear, this book is about algorithms for arithmetic (and not hardware considerations and implementations); this focus allows them to cover integer arithmetic, modular arithmetic, and floating-point arithmetic broadly and in detail. the notes and references at the end of each chapter guide readers to more details, and provide a historical backdrop for each major topic.'

    Marlin Thomas Source: Reviews.com

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