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Finite Precision Number Systems and Arithmetic (Encyclopedia of Mathematics and its Applications, Series Number 133) - Hardcover

 
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Synopsis

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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Book Description

This comprehensive reference provides a solid theoretical foundation for applied mathematicians, scientists, and engineers who wish to understand the fundamental computations that support a wide variety of practical applications. Suitable for graduate teaching, it includes problems, exercises and an extensive bibliography. A solutions manual is also available for instructors.

About the Author

Peter Kornerup is a Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, Odense.

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  • PublisherCambridge University Press
  • Publication date2010
  • ISBN 10 0521761352
  • ISBN 13 9780521761352
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages716

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Hardcover. Condition: new. Hardcover. 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. This comprehensive reference provides a solid theoretical foundation for applied mathematicians, scientists, and engineers who wish to understand the fundamental computations that support a wide variety of practical applications. Suitable for graduate teaching, it includes problems, exercises and an extensive bibliography. A solutions manual is also available for instructors. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521761352

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