Stephen Wolfram Research Articles

SEQUENCES FOR STUDENT INVESTIGATION

ABSTRACT We describe two classes of sequences that give rise to accessible problems for undergraduate research. These problems may be understood with virtually no prerequisites and are well suited for computer-aided investigation. The first sequence is a variation of one introduced by Stephen Wolfram in connection with his study of cellular automata. The second is an exploration of a modified “look and say” sequence that was introduced by Richard Guy and John Conway. For each sequence we discuss the questions that motivated their study and outline the progress that has been made on them by undergraduates. Finally, we suggest several open questions for future student investigation.

In search of a scientific revolution: Controversial genius stephen wolfram presses onward

Science NewsVolume 164, Issue 7 p. 106-108 FeatureFull Access In search of a scientific revolution: Controversial genius stephen wolfram presses onward Peter Weiss, Peter WeissSearch for more papers by this author Peter Weiss, Peter WeissSearch for more papers by this author First published: 02 July 2009 https://doi.org/10.2307/3982039Go here for SFXAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat No abstract is available for this article. Volume164, Issue716 August 2003Pages 106-108 RelatedInformation

Science Fashions and Scientific Fact

Science Fashions and Scientific Fact

Representation Of Order With Room For DoubtA review ofA New Kind Of Science. By Stephen Wolfram. Champaign (Illinois): Wolfram Media. $44.95. xiv + 1263 p; ill.; index. ISBN: 1–57955–008–8. 2002.

Previous articleNext article No AccessRepresentation Of Order With Room For Doubt A review ofA New Kind Of Science. By Stephen Wolfram. Champaign (Illinois): Wolfram Media. $44.95. xiv + 1263 p; ill.; index. ISBN: 1–57955–008–8. 2002.Mahendra Kumar JainMahendra Kumar JainDepartment of Chemistry and Biochemistry, University of DelawareNewark, Delaware 19716 USA[email protected] Search for more articles by this author Department of Chemistry and Biochemistry, University of DelawareNewark, Delaware 19716 USA[email protected] PDFPDF PLUSFull Text Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinkedInRedditEmail SectionsMoreDetailsFiguresReferencesCited by The Quarterly Review of Biology Volume 78, Number 2June 2003 Published in association with Stony Brook University Article DOIhttps://doi.org/10.1086/374953 Views: 1Total views on this site ©2003 by The University of Chicago. All rights reserved.PDF download Crossref reports no articles citing this article.

The relationship of fractals in geophysics to “the new science”

Many phenomena in geophysics satisfy fractal statistics, examples range from the frequency–area statistics of earthquakes to the time series of the earth’s magnetic field. Solutions to classical differential equations cannot give this type of behavior. Several “cellular automata” models have successfully reproduced the observed statistics. For example, the slider-block model for earthquakes. Stephen Wolfram’s recent book A New Kind of Science sets forth a “new science” based on cellular automata. This paper discusses the role of cellular automata in geophysics.

A New Kind of Science

A New Kind of Science

Book Reviews

SIAM Review readers can be grateful to Bard Ermentrout for giving us his thoughtful ideas on Stephen Wolfram's "A New Kind of Science." He begins by recalling Wolfram's early success in applying cellular automata to study seashell patterns and ends by defending the common use of continuous modeling. In between, there's an honest attempt to understand and evaluate Wolfram's ideas, which distinguishes this review from some others you may have read. Other reviewed books range from textbooks on PDEs and analysis to monographs on statistics, branching processes, financial derivatives, continuum mechanics, vibrations, spectral theory, field theory, and cell biology. As usual, we are thankful for a variety of experts who have generously shared their opinions on some recently published books of interest.

Is the Universe a Universal Computer?

A New Kind of Science . Stephen Wolfram. Wolfram Media, Champaign, IL, 2002. 1280 pp. $44.95, £40, C$69.95. ISBN 1-57955-008-8. Wolfram argues that the best way to understand many systems in nature is to think in terms of simple programs instead of mathematical equations.

On "A New Kind of Science" by Stephen Wolfram

Book Review

Stephen Wolfram: what kind of science is this?

Mathematical prodigy Stephen Wolfram has laboured for a decade on what he claims is a revolutionary book. Jim Giles meets a supremely confident scientific loner, but finds expert opinion on the work's merits divided.

Life sentences: Detective Rummage investigates.

Life sentences: Detective Rummage investigates.

Review of Maple 6

The term Computer Algebra System (CAS) is commonly applied to such mathematics packages as Maple, Mathematica, Macsyma, Reduce, Derive and perhaps Mathcad. This reflects their origins as programs for manipulating symbolic expressions for research purposes, rather than being descriptive of what they have become. With their graphical, numerical and presentational capabilities, these packages could now more accurately be described as “Systems for doing, applying and demonstrating Mathematics” – a variant of Stephen Wolfram’s original sub-title of Mathematica. As a consequence of the blending of these separate facilities, the latest CASs are very powerful tools for teaching and learning mathematics.

Software Reviews : Mathematica for Windows Publisher: Wolfram Research, ioo Trade Center Dr., Champaign, IL 61820-7237; 217-398-0700 ; 800-441-MATH; FAX 217-398-0747; E-mail INFO@WRI.COM. Year of Publication: 1992 Version Reviewed: 2.1 Materials: four high-density disks (both 3.5" and 5.25" formats); 114- page User's Guide; 306-page Guide to Standard Mathematica Packages ; 151-page Mathematica Warning Messages; 960-page textbook, Mathematica: A System for

Mathematica is not a statistical package. Rather it is the development environment of choice for developing math-based models for financial analysis, economics, management science, data graphics, and similar purposes. Mathematica implements almost a thousand mathematical functions and supports symbolic and graphical computations as well as numerical and is an ideal scientific visualization tool. Mathematica has a built-in programming language and comes with packages for statistics, calculus, linear algebra, geometry, number theory, and other operations. It also interfaces to C and FORTRAN code, MathLink communication, and Notebook interactive documents; and it supports animated graphics, sound, and PostScript output. In summary, Mathematica is a system for representing knowledge in mathematical fields.

Mathematics: A System for Doing Mathematics by Computer, Second Edition (Stephen Wolfram)

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistoryPublished online: 17 February 2012Publication DataISSN (print): 0036-1445ISSN (online): 1095-7200Publisher: Society for Industrial and Applied MathematicsCODEN: siread

Growing up with your software

Stephen Wolfram, the designer of Mathematica, the computationalist's software package, hopes to get back to physics soon. But will the bug let him go free?

The σ-Game and Cellular Automata

1. SummaryIn an article in this journal Don Pelletier discussed the mathematics involved in a little battery operated toy called Merlin (see [3], and also the “Addenda” in this Monthly, Dec. 1987, page 994). Several years ago Stephen Wolfram, in another article that appeared in the Monthly, analyzed a number of simple cellular automata and the fractal patterns generated by some of these automata (see [6]). In this article we point out the close connection between MERLIN-type games and a class of cellular automata related to the ones described by Wolfram. We introduce a game played on directed graphs and give a detailed analysis of the special case where the graph is a rectangular grid. Our analysis uses linear algebra as well as ideas from the theory of cellular automata.

Twilight of the pencil?

Mathematica Wolfram Research Inc., PO Box 6059, Champaign, Illinois 61821. $495 (Macintosh PluslSE version); $795 (Macintosh II version). Stop Press: on 15 December a version becomes available for 386-based IBM-PCs; prices from $695 to $1,295. Mathematica: A System of Doing Mathematics by Computer. By Stephen Wolfram Addison-Wesley: 1988. Pp. 749. Hbk$40.95; £36.85; pbk$27.75, £19.95.

Properties of the vacuum. 2. Electrodynamic: Jan Ambjørn and Stephen Wolfram. California Institute of Technology, Pasadena California 91125

Properties of the vacuum. 2. Electrodynamic: Jan Ambjørn and Stephen Wolfram. California Institute of Technology, Pasadena California 91125