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Finite Precision Number Systems and Arithmetic (Encyclopedia of Mathematics and its Applications, 133), by Peter Kornerup, David W. Matula
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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.
- Sales Rank: #2138584 in eBooks
- Published on: 2010-09-30
- Released on: 2013-06-26
- Format: Kindle eBook
Review
"For researchers and more mathematically oriented readers, this book is a treasure trove of algorithms difficult or impossible to find elsewhere. For engineers and researchers interested in tomorrow's technology, this one, written by highly respected experts in the field, is the book to have one one's bookshelf."
Frederic Goualard, Mathematical Reviews
About the Author
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.
Most helpful customer reviews
6 of 6 people found the following review helpful.
Deep and detailed
By Jean michel Muller
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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