Finite Precision Number Systems and Arithmetic

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Title: Finite Precision Number Systems and Arithmetic
Description: Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
Authors: Peter Kornerup, David W. Matula
Resource Type: eBook.
Subjects: Arithmetic--Foundations
Categories: MATHEMATICS / Arithmetic
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 511701
RelevancyScore: 1031
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1031.17456054688
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  Data: Finite Precision Number Systems and Arithmetic
– Name: Abstract
  Label: Description
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  Data: Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
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  Data: <searchLink fieldCode="AR" term="%22Peter+Kornerup%22">Peter Kornerup</searchLink><br /><searchLink fieldCode="AR" term="%22David+W%2E+Matula%22">David W. Matula</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Arithmetic--Foundations%22">Arithmetic--Foundations</searchLink>
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      – Code: 004.0151
        Scheme: ddc
        Type: prePub
      – Code: 513
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Arithmetic--Foundations
        Type: general
    Titles:
      – TitleFull: Finite Precision Number Systems and Arithmetic
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Peter Kornerup
      – PersonEntity:
          Name:
            NameFull: David W. Matula
      – PersonEntity:
          Name:
            NameFull: Peter Kornerup
      – PersonEntity:
          Name:
            NameFull: David W. Matula
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2010
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521761352
            – Type: isbn-electronic
              Value: 9781139649025
          Titles:
            – TitleFull: Finite Precision Number Systems and Arithmetic
              Type: main
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