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Numerical Recipes in FORTRAN 77: The Art of Scientific Computing | William H. Press, Brian P. Flannery, ... | Outstanding reference book on numerical algorithms
 
 


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 Numerical Recipes ...  

Numerical Recipes in FORTRAN 77: The Art of Scientific Computing
William H. Press, Brian P. Flannery, ...

Cambridge University Press, 1992 - 992 pages

average customer review:based on 9 reviews
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     highly recommended  highly recommended



This is the greatly revised and greatly expanded Second Edition of the hugely popular Numerical Recipes: The Art of Scientific Computing. The product of a unique collaboration among four leading scientists in academic research and industry Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over 100 new routines bringing the total to well over 300, plus upgraded versions of the original routines, this new edition remains the most practical, comprehensive handbook of scientific computing available today. Highlights of the new material include: -A new chapter on integral equations and inverse methods -Multigrid and other methods for solving partial differential equations -Improved random number routines - Wavelet transforms -The statistical bootstrap method -A new chapter on "less-numerical" algorithms including compression coding and arbitrary precision arithmetic. The book retains the informal easy-to-read style that made the first edition so popular, while introducing some more advanced topics. It is an ideal textbook for scientists and engineers and an indispensable reference for anyone who works in scientific computing. The Second Edition is availabe in FORTRAN, the traditional language for numerical calculations and in the increasingly popular C language.


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Indispensible, a classic in the field

This volume, and its companions for other programming languages, is an absolute classic. The authors strike the right balance between cookbook solutions and theory, so that most of us get just enough background to choose the right algorithm but not so much to get drowned in theory. This edition is the first devoted only to Fortran, but is the second edition published by the authors. It includes a number of additions and corrections, many of which appeared in Computers in Physics (now the journal Computing in Science and Engineering published jointly by the IEEE and the APS). My only criticism is, where were these books twenty years ago when I needed them? I would recommend these books to anyone involved in the application of numerical methods. They are tremendous time savers.

I never bothered with the discs, as most of the routines are fairly short and not a problem to type in, but I recommend the companion example books to help get the routines running.


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Outstanding reference book on numerical algorithms

This is the single best book that I have found for teaching numerical methods in science and engineering to upper division undergraduates and graduate students. Students often comment that this should be the selected text even in the programming course because it provides both an overview of the methods and examples that demonstrate the application. The discussions are excellent and the Fortran 77 programs easy to follow even if one is more familiar with C or C++. You should not purchase the Fortran 90 version of this book without getting this book as well because the Fortran 90 book does not contain the excellent discussion of the methods and procedures. Rather it references this book for discussion and simply provides the F90 versions of the routines.


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Proprietary source the Achilles' heel for non-students

I first bought this text in 1994 while doing scientific programming for graduate school work. A fellow graduate student had suggested I use an undocumented routine that (I later discovered) came from Numerical Recipes (NR). I was impressed enough with NR's presentation of ideas that I also bought the example book ISBN 0521437210 (which I've hardly cracked since) and a diskette of source code (which cost as much as the book but worth it). I was able to do a lot of basic research quickly with NR code, and I still occasionally use NR's routines.

The authors have certainly done a good job assimilating a lot of material. Since other reviewers have done well to highlight the importance and utility of this landmark book, there is no need to repeat those sentiments here. However, to this title's detriment, the authors consider their book to be a proprietary library of source code more valuable than the explanatory text discussing it (one can in fact download the text on-line though it's hardly worth the hassle). This perception is ironic since the authors confess that "the lineage of many programs in common circulation is often unclear" (p.xviii), and many details of presentation, ideas, and algorithms are clearly "borrowed" from other excellent (some now out-of-print) numerical methods books or journals.

I often wondered why NR routines occasionally adopted bizarre and/or obviously inefficient programming structures - over time I decided that this was probably done to make these algorithms appear as so not to clearly violate other published material. As a student, NR's legal disclaimers regarding derivative works (p.xvi) never bothered me and I was willing to overlook the sometimes unpolished source code insofar as it functioned properly. However, as a professional I now find the lack of fair-use provisions on the uncompiled source way too restrictive to rely on these routines in good conscience (I have to buy another textbook or license for every soft copy or machine upon which the source code resides!). I suspect this policy ultimately hurts NR's textbook sales: it would be nice to able to use and pass along the source code between professional colleagues without restriction because most would certainly buy (if they don't already own) the textbook to understand what the source does (just as I did). Source code used in scientific programming is practically worthless without proper documentation, and there's no better documentation than a full length textbook!

I have since expanded my numerical methods library to other references supporting true public-domain codes. With an expanded basis of comparison, I regret to say that I am becoming less and less impressed with NR's implementations and explanations. I am finding many of NR's algorithms to be inefficient or unnecessarily approximate, and - on rare occasion - buggy. There have been quite a few bugs uncovered over the years, and the NR web site has done a good job of keeping track of them (although I know of at least one bug uncorrected by NR to this day).

This book is excellent for students wanting a good reference for quick and dirty types of analyses or scientific computing. Professional programmers, scientists, engineers, specialists or analysts performing software development for laboratory or scientific research would be well advised to reference this title, but ultimately they will likely need to rely other resources if they require efficient and/or unrestricted (public-domain) source codes for their work.

(P.S. - A reviewer elsewhere noted that the "quality of the binding was terrible" and I've also found this to be the case. My hardcover is literally had to be taped on after a few years of use.)


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A Useful Tool for Programmers, Researchers, and Students

This book contains hundreds of "canned codes" in the FORTRAN language. The book provides several variations of many popular numerical techniques and provides the most stream line (comp. time) codes available. Most codes allow for optimization to be build in, such as an RK4 (4th Order Runge-Kutta) with variable steps sizes. Great if you don't want to write your own code for a subroutine, or it you just don't know the method well enough to write it yourself. The book also provides some basic explaination of the techniques and codes with is very helpful so that the code is less of a black box, although its not that detailed.

There is also a CD available that has the codes already written and ready to go. I prefer to type it in on my own, or just make my own because it gives a better udnerstanding of what the code is doing. The biggest turn-off for me is that some codes have subroutines upon subroutines which can make things a mess.

All around a useful tool for programmers, researchers, and students.


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It may be a pig, but it's OUR pig.

First, I want to weigh in on the general controversy over Press et al.'s treatment of the code as proprietary. This is a joke and I think was basically intended as such. A lot of the odd job programming world still works on the honor system, and it works, because enough of us respect what is done right and we respect other people's labor. But if you've already plunked down your $60 for the book, and you have a program that in some sense you are paid for (not that you're Adobe or someone big), they expect you to be crawling to them for permission to use a single routine. And yet these routines make use of other routines that I really doubt they wrote. I see the same basic code floating around a number of places. And for some things, it's so straightforward it seems crazy to say that it is "their" routine.

At the same time, the code is clear, well explained with examples, and--most important--easy to modify. Given a choice between two versions, one which was elegant but a bit confusing and one that was straightforward, they did the second.

Given that there's a new edition, and that we are 30 years past FORTRAN 77, you might wonder whether this book should still be in circulation. But there are a lot of industrial machines that are still running programs written in 77, say for process control, and it's nice to be able to alter them as opposed to starting from scratch. For example, you might find that a minimization routine actually can help for a program running the control of a valve in a mixing vat. Some of these routines are slow, but my attitude is, that just gives you more time to drink your coffee and look around, though of course, you might not like what you see. [12]


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reviews: page 1, 2



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