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Finite Precision Number Systems and Arithmetic

Finite Precision Number Systems and Arithmetic

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 133

General Mathematics

ISBN10: 0521761352
ISBN13: 9780521761352
Publisher: Cambridge University Press
Published: Sep 30 2010
Pages: 716
Weight: 2.60
Height: 1.60 Width: 6.10 Depth: 9.30
Language: English
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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General Mathematics