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Computer Arithmetic and Validity : Theory, Implementation, and Applications

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Title: Computer Arithmetic and Validity : Theory, Implementation, and Applications
Description: This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.
Authors: Ulrich Kulisch
Resource Type: eBook.
Subjects: Computer arithmetic and logic units, Computer arithmetic, Floating-point arithmetic
Categories: MATHEMATICS / Number Theory, COMPUTERS / Computer Architecture, MATHEMATICS / Applied, MATHEMATICS / Counting & Numeration, MATHEMATICS / Game Theory, MATHEMATICS / Number Systems, MATHEMATICS / Recreations & Games
Database: eBook Collection (EBSCOhost)
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  Data: Computer Arithmetic and Validity : Theory, Implementation, and Applications
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  Data: This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 004.0151
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Computer arithmetic and logic units
        Type: general
      – SubjectFull: Computer arithmetic
        Type: general
      – SubjectFull: Floating-point arithmetic
        Type: general
    Titles:
      – TitleFull: Computer Arithmetic and Validity : Theory, Implementation, and Applications
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Ulrich Kulisch
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            NameFull: Ulrich Kulisch
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2013
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9783110301731
            – Type: isbn-electronic
              Value: 9783110301793
          Numbering:
            – Type: volume
              Value: 00033
          Titles:
            – TitleFull: Computer Arithmetic and Validity : Theory, Implementation, and Applications
              Type: main
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