Finite Precision Number Systems and Arithmetic (Hardcover)

Peter Kornerup

ISBN 10: 0521761352 / ISBN 13: 9780521761352

Published by Cambridge University Press, Cambridge, 2010

About this Item

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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9780521761352

Bibliographic Details

• Title: Finite Precision Number Systems and Arithmetic (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2010
• Language: English
• ISBN 10: 0521761352
• ISBN 13: 9780521761352
• Binding: Hardcover
• Condition: new

About this title

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.

About the Authors

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

David W. Matula is Professor of Computer Science at Southern Methodist University, Dallas.