Ebook Modern Computer Arithmetic (Cambridge Monographs on Applied and Computational Mathematics), by Richard P. Brent, Paul Zimmermann
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Modern Computer Arithmetic (Cambridge Monographs on Applied and Computational Mathematics), by Richard P. Brent, Paul Zimmermann
Ebook Modern Computer Arithmetic (Cambridge Monographs on Applied and Computational Mathematics), by Richard P. Brent, Paul Zimmermann
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Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.
- Sales Rank: #2429275 in Books
- Brand: Brent, Richard P./ Zimmerman, Paul
- Published on: 2010-12-27
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .67" w x 5.98" l, 1.01 pounds
- Binding: Hardcover
- 236 pages
Review
"Very few books do justice to material that is suitable for both professional software engineers and graduate students. This book does just that, without losing its focus or stressing one audience over the other."
Marlin Thomas, Computing Reviews
"This is a concise, well-written and beautiful book in modern computer arithmetic. I found the book very pleasant to read."
Song Yan for SIGACT News
About the Author
Richard Brent is a Professor of Mathematics and Computer Science at the Australian National University, Canberra.
Paul Zimmermann is a researcher at the Institut National de Recherche en Informatique et en Automatique (INRIA).
Most helpful customer reviews
7 of 7 people found the following review helpful.
Excellent BUT only for the right audience!
By Let's Compare Options Preptorial
The authors try to bridge the razor's edge of too much detail and machine implementation at one extreme, and too general a "current algorithm" approach at the other. If you've read Deschamps Hardware Implementation of Finite-Field Arithmetic (Electronic Engineering), you have a good feel for the circuits that implement those algorithms, and many large handbooks of arithmetic and algebra algorithms (or function libraries) are also available at the high/ summary level.
So how did they do? An objective like this, especially in this few pages, runs the risk of making no one happy-- too general for some, too detailed for others. Indeed, the fact that this is a very recent work DOES give students and design engineers a lot of very good places to look for the most recent updates of new (meaning since Euler!) hyphenated-name algorithms that are in more current use than, say, their 2001 versions. This alone makes the book worth it for researchers or students who don't keep up with journal articles.
On the other hand, if you hate pseudo code, you might not like this book. The "language independent" algorithms they show are quite strange to the uninitiated-- they give traditional (read LaTex) math formulas and symbols as input (to please the mathematicians and piss off the software folks), followed by "algorithm like" (pseudo code) as output, to confuse the mathematicians and please the programmers. This runs the risk of pleasing nobody.
If you're looking for a reference volume to get you pointed in the right direction, this is it. As a teaching tool or complete survey of the field, not so much. However, the authors really do know their stuff, and are plentiful with proofs, whether using Newton or the Chudnovsky brothers, and are "up to date" in a 2013 sense-- very few NEW CAS and Computer Arithmetic books are even being written today, unfortunately. The authors also have unexpectedly fun little quips that demonstrate "been there, done that"-- like saying polynomials are actually easier than arithmetic because they don't have n + 1 carrys or remainders!! If you're new to all this, it will be too advanced; if you're an old pro-- it doesn't go far enough in "completing" the coding in some ways-- but gives a really good start, and is one of the few up to date books in this category anywhere. That begs the question of who this is really for-- and brings us back to the beginning-- 5 stars for the exactly right audience, and kudos to the authors for "daring" to write a RECENT book on a topic that's rarely covered today -- CA and CAS-- at least in book rather than blog or journal form.
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