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Finite Precision Number Systems and Arithmetic (Encyclopedia of Mathematics and its Applications) [Hardcover]

Peter Kornerup , David W. Matula

Price: 85.00 & FREE Delivery in the UK. Details
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Book Description

30 Sep 2010 0521790174 978-0521761352
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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'For researchers and more mathematically oriented readers, this book is a treasure trove of algorithms difficult or impossible to find elsewhere.' Mathematical Reviews

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.

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5.0 out of 5 stars Deep and detailed 11 Jan 2011
By Jean michel Muller - Published on
There are several books on computer arithmetic (examples of good ones are Koren; and Ercegovac & Lang... and this new one). The particularity of this one is an in-depth, detailed presentation of the various number systems that are and/or may become interesting for computer arithmetic. I especially appreciated the rigor of the presentation. The arithmetic algorithms are too often presented in a rough way: it is a pleasure to see a good, solid analysis of them. Both authors of this book are highly respected in the computer arithmetic scientific community.
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