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by Julien C. Sprott
in association with Numerical Recipes Software

Companion Manual to
Numerical Recipes
The Art of Scientific Computing

Modern BASIC programmers will be delighted to learn that the routines and demonstration programs from the highly acclaimed reference book Numerical Recipes: The Art of Scientific Computing are now available in their language of choice. Numerical Recipes, by William H. Press, Brian P. Flannery, Saul A. Teukolsky and William T. Vetterling, is a complete handbook containing nearly 200 algorithms or 'recipes' for scientific computing and numerical analysis. It is accompanied by the Numerical Recipes Example Book containing the programs that demonstrate the subroutines. Julien C. Sprott has translated all of the recipes and programs, over 350 in all, into BASIC. This book brings the routines and programs together in a single source that includes computer code and code captions from both the book and example book and the commentary from the example book. It is recommended for use with one of the main Numerical Recipes books.

The author employs Microsoft QuickBasic 4.5, but the recipes are easily adapted for other modern forms of BASIC. The programs contained in this book are also available as machine-readable code on a 5 1/4-inch floppy diskette for IBM compatible computers.

Numerical Recipes
Routines and Examples in BASIC
by Julien C. Sprott
Cambridge University Press
QA297.s68 1991
ISBN 0-521-40689-7 (softcover book)
ISBN 0-521-40688-9 (diskette)

Lauren Cowles of Cambridge University Press says that the BASIC diskette is no longer available from them. The BASIC code is all contained on the Numerical Recipes CDROM, which is still available from CUP. She has asked that their customer service departments make sure that customers who call about the BASIC Diskette are informed of this. The copyright to the code is held by Numerical Recipes Software, who have not licensed CUP or the translator (Julien C. Sprott) to make it available over the Internet.

Bill Vetterling of Numerical Recipes Software says that the BASIC code is included on the Numerical Recipes CD-ROM, in both the QuickBasic and TrueBASIC versions. The PC (Windows and Macintosh compatible) format of this CD-ROM costs about $90 and is sold by Cambridge University Press. There is an order form for it on their Web page.

J. C. Sprott

Numerical Recipes: The Art of Scientific Computing

Author	William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery
Language	English
Discipline	Numerical analysis
Publisher	Cambridge University Press
Website	numerical.recipes

Numerical Recipes is the generic title of a series of books on algorithms and numerical analysis by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery. In various editions, the books have been in print since 1986. The most recent edition was published in 2007. In 2015 Numerical Recipes sold its historic two-letter domain name nr.com^[1] and became numerical.recipes instead.

Overview[edit]

The Numerical Recipes books cover a range of topics that include both classical numerical analysis (interpolation, integration, linear algebra, differential equations, and so on), signal processing (Fourier methods, filtering), statistical treatment of data, and a few topics in machine learning (hidden Markov model, support vector machines). The writing style is accessible and has an informal tone. The emphasis is on understanding the underlying basics of techniques, not on the refinements that may, in practice, be needed to achieve optimal performance and reliability. Few results are proved with any degree of rigor, although the ideas behind proofs are often sketched, and references are given. Importantly, virtually all methods that are discussed are also implemented in a programming language, with the code printed in the book. Each version is keyed to a specific language.

According to the publisher, Cambridge University Press, the Numerical Recipes books are historically the all-time best-selling books on scientific programming methods. In recent years, Numerical Recipes books have been cited in the scientific literature more than 3000 times per year according to ISI Web of Knowledge (e.g., 3962 times in the year 2008).^[2] And as of the end of 2017, the book had over 44000 citations on Google Scholar.^[3]

History[edit]

The first publication was in 1986 with the title,”Numerical Recipes, The Art of Scientific Computing”, containing code in both Fortran and Pascal; an accompanying book, “Numerical Recipes Example Book (Pascal) was first published in 1985. (A preface note in “Examples' mentions that the main book was also published in 1985, but the official note in that book says 1986.) Supplemental editions followed with code in Pascal, BASIC, and C. Numerical Recipes took, from the start, an opinionated editorial position at odds with the conventional wisdom of the numerical analysis community:

If there is a single dominant theme in this book, it is that practical methods of numerical computation can be simultaneously efficient, clever, and — important — clear. My summer car download mac. The alternative viewpoint, that efficient computational methods must necessarily be so arcane and complex as to be useful only in 'black box' form, we firmly reject.^[4]

However, as it turned out, the 1980s were fertile years for the 'black box' side, yielding important libraries such as BLAS and LAPACK, and integrated environments like MATLAB and Mathematica. By the early 1990s, when Second Edition versions of Numerical Recipes (with code in C, Fortran-77, and Fortran-90) were published, it was clear that the constituency for Numerical Recipes was by no means the majority of scientists doing computation, but only that slice that lived between the more mathematical numerical analysts and the larger community using integrated environments. The Second Edition versions occupied a stable role in this niche environment.^[5]

By the mid-2000s, the practice of scientific computing had been radically altered by the mature Internet and Web. Recognizing that their Numerical Recipes books were increasingly valued more for their explanatory text than for their code examples, the authors significantly expanded the scope of the book, and significantly rewrote a large part of the text. They continued to include code, still printed in the book, now in C++, for every method discussed.^[6] The Third Edition was also released as an electronic book,^[7] eventually made available on the Web for free (with limited page views) or by paid or institutional subscription (with unlimited page views).

Criticism[edit]

Numerical Recipes is a single volume that covers very broad range of algorithms. Unfortunately that format skewed the choice of algorithms towards simpler and shorter early algorithms which were not as accurate, efficient or stable as later more complex algorithms.^[8][9][10] The first edition had also some minor bugs, which were fixed in later editions; however according to the authors for years they were encountering on the internet rumors that Numerical Recipes is 'full of bugs'. They attributed this to people using outdated versions of the code, bugs in other parts of the code and misuse of routines which require some understanding to use correctly.^[11]

The code listings are copyrighted and commercially licensed by the Numerical Recipes authors.^[12] However, Numerical Recipes includes the following statement regarding copyrights on computer programs:

Copyright does not protect ideas, but only the expression of those ideas in a particular form. In the case of a computer program, the ideas consist of the program's methodology and algorithm, including the necessary sequence of steps adopted by the programmer. The expression of those ideas is the program source code.. If you analyze the ideas contained in a program, and then express those ideas in your own completely different implementation, then that new program implementation belongs to you.^[7]

Numerical Recipes Source Code

One early motivation for the GNU Scientific Library was that a free library was needed as a substitute for Numerical Recipes.^[13]

Numerical Recipes In C Downloads

Another line of criticism centers on the coding style of the books, which strike some modern readers as 'Fortran-ish', though written in contemporary, object-oriented C++.^[13] The authors have defended their very terse coding style as necessary to the format of the book because of space limitations and for readability.^[5]

Titles in the series (partial list)[edit]

The books differ by edition (1st, 2nd, and 3rd) and by the computer language in which the code is given.

Ludcmp Numerical Recipes

• Numerical Recipes. The Art of Scientific Computing, 1st Edition, 1986, ISBN0-521-30811-9. (FORTRAN and Pascal)
• Numerical Recipes. The Art of Scientific Computing, 3rd Edition, 2007, ISBN0-521-88068-8. (C++ code)
• Numerical Recipes in BASIC. The Art of Scientific Computing, 1st Edition, 1991, ISBN0-521-40689-7. (supplemental edition)
• Numerical Recipes in C. The Art of Scientific Computing, 1st Edition, 1988, ISBN0-521-35465-X.
• Numerical Recipes in C. The Art of Scientific Computing, 2nd Edition, 1992, ISBN0-521-43108-5.
• Numerical Recipes in C++. The Art of Scientific Computing, 2nd Edition, 2002, ISBN0-521-75033-4.
• Numerical Recipes in Fortran. The Art of Scientific Computing, 1st Edition, 1989, ISBN0-521-38330-7.
• Numerical Recipes in Fortran. The Art of Scientific Computing, 2nd Edition, 1992, ISBN0-521-43064-X.
• Numerical Recipes in Fortran 90. The Art of Parallel Scientific Computing, 2nd Edition, 1996, ISBN0-521-57439-0.
• Numerical Recipes in Pascal. The Art of Scientific Computing, 1st Edition, 1989, ISBN0-521-37516-9.

The books are published by Cambridge University Press.

References[edit]

1. ^'Two letter domain NR.com sold : Rebrands to Numerical.Recipes'. 14 October 2015.
2. ^Thomson Reuters, Web of Knowledge, Cited Reference Search.
3. ^[1], Google Scholar
4. ^Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. (1986). 'Preface'. Numerical Recipes: The Art of Scientific Computing. New York: Cambridge University Press. p. xi. ISBN0-521-30811-9.
5. ^ ^abPress, William H.; and Teukolsky, Saul A.; 'Numerical Recipes: Does This Paradigm Have a Future?,' Computers in Physics, 11, 416 (1997). Preprint.
6. ^Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. (2007). 'Preface to the Third Edition'. Numerical Recipes: The Art of Scientific Computing (3rd ed.). New York: Cambridge University Press. p. xi. ISBN978-0-521-88068-8.
7. ^ ^abPress, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. (2007). Numerical Recipes: The Art of Scientific Computing (3rd ed.). New York: Cambridge University Press. ISBN978-0-521-88068-8.
8. ^'Reviews: Numerical Recipes'. www.quut.com. Retrieved 28 January 2019.clone URL
9. ^Van Snyder, W. 'Why not use Numerical Recipes?'. www.uwyo.edu. Retrieved 28 January 2019.clone URL
10. ^'Alternatives to Numerical Recipes'. Archived from the original on 18 January 2016.
11. ^'Numerical Recipes Distressing Rumors'. numerical.recipes. Retrieved 28 January 2019.
12. ^Numerical Recipes Web site, Numerical Recipes Code
13. ^ ^abGalassi, Mark; Theiler, James; Gough, Brian. 'GNU Scientific Library -- Design document'. GNU Operating System. GNU.org. Retrieved January 5, 2019.

External links[edit]

• Current electronic edition of Numerical Recipes (limited free page views).
• Numerical Recipes at Google Books
• Older versions of Numerical Recipes available electronically (links to C, Fortran 77, and Fortran 90 versions in various formats, plus other hosted books)
• Norman Gray, A balanced discussion of NR and its critics
• 'Alternatives to Numerical Recipes'. Archived from the original on 18 January 2016.