 Society for Risk Analysis (SRA)
A multidisciplineary, international open forum for those interested in risk analysis, broadly defined to include risk assessment, characterization, communication, management, and policy. Interests include risks to human health and the environment, both
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 Society of Actuaries
Actuaries are professionals trained in mathematics, statistics, and economic techniques that allow them to put a financial value on future events. This skill is of great value to insurance companies, investment firms, employee benefits consulting firms,
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 Society of Manufacturing Engineers (SME)
The premier source of learning and knowledge for the manufacturing community. An international professional society dedicated to serving its members and the manufacturing community through the advancement of professionalism, knowledge, and learning. Founded
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 Soddy's Formula  Pat Ballew
Descartes' Circle Theorem, an example of giving the credit to the wrong person. The formula is about the relation of the radii of four mutually tangent circles and is sometimes called the Kissing Circles Theorem: if four circles are all tangent to each
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 Sofist India  Sofist India
A software company that specializes in developing offtheshelf products and components (assemblies) using Microsoft .NET technology. The company also develops and maintains software packages and develops web sites. Its expertise lies in the fields of
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 Soft Mathematics: The Mathematics of People  Keith Devlin
Keith Devlin describes the blending of mathematics with other disciplines, an approach that is increasingly being adopted in the study of people and their actions.
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 Softmath  Neven Jurkovic
Developers of Algebrator, an automated tutor based on Maxima CAS that provides stepbystep solutions to algebra, trigonometry, and statistics problems, and exports answers to MathML. Demo and purchase Algebrator; use Softmath's free online software to
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 Software and Animations (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of pointers to specialized software, Java applets, video sequences, and other forms of interactive or animated geometry.
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 Software Carpentry  Software Carpentry
Basic computing skills for scientists through selfpaced online instruction or short, intensive workshops ("boot camps" at universities and research facilities in the US, UK, and Canada). See, in particular, the free outlines and video lectures on MATLAB,
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 Software Development  Dept. of Mathematics, University of Arizona
A page with links to mathematical and graphics packages developed within the University of Arizona Mathematics Department. Researchrelated and instructional software, with packages related to computer algebra and raster graphics; vector graphics and
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 Software for Algebra and Geometry Experimentation  William Stein et al.
Free and open software for researching and teaching algebra, geometry, number theory, cryptography, and more. SAGE performs group theory and combinatorics (using GAP), symbolic computation and calculus (Maxima), commutative algebra (Singular), number
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 Software for Graphics and Data Analysis  S. Baum; Dept. of Oceanography, Texas A&M University
Links to software with descriptions, features, and where to find it, in (mostly) the following categories (or check out the complete alphabetical list): mostly graphics; mostly numerical analysis and number crunching; mostly data formats; commercial packages;
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 Software from Alan J. Miller  Alan J. Miller
Dozens of FORTRAN downloads, organized into logistic regression, TOMS algorithms, special code for F and NAS compilers, code converted from the Naval Surface Warfare Center Library of Mathematics, miscellaneous other code, and applied statistics algorithms.
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 Software (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
An extensive collection of links to software, with abstracts and reviews, organized in four different ways: by platform (Macintosh, MSDOS) and then by subject; interactive texts (using a commercial package such as Mathematica, Maple or Mathkit to interact
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 Software  School of Statistics, University of Minnesota
XLISPSTAT  a statistical environment based on a dialect of the Lisp language called XLISP; MacAnova, an interactive program for statistical analysis and matrix algebra; Rcode  software that accompanies the book, An Introduction to Regression Graphics,
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 Software's Origin  Ivars Peterson (MathTrek)
Librarian Fred R. Shapiro of the Yale Law School in New Haven, Conn., searched for the word software among scholarly journals electronically archived in the JSTOR database and found that the term software used to describe computer programs dates back
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 Soler's Fractal Site
Fractal galleries of images made using Tierazon and other programs, links, downloads of fractalgenerating programs, and articles on fractals.
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 Solitairey Sequences  Ivars Peterson (MathTrek)
Solitaire on the computer screen  called Klondike or Idiot's Delight, this form of solitaire has resisted mathematical analysis. Partly because Klondike involves player choice, no one has yet been able to construct a mathematical model of the game from
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 Soliton Lab Art Gallery  Kanehisa Takasaki, Takasaki Lab, Kyoto University
The site contains a solitonlab as well as links to mathematics galleries. The special exhibition section contains links to related sites from around the world while the permanent exhibition section is an explanation of solitons with more
links to other
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 Solomon Papers  Sorin Solomon
Links to papers on microscopic representation of stock markets, and some papers on clusters and multiscale, artificial creativity and novelty emergence, Vision, psychophysics, and cognitive development, Sand piles, and Lattice QCD.
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 Solutions to Heinemann AS/A Level text books  George Ierotheou
To provide ample examples of how to apply the key methods and techniques used at AS/A level.
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 Solve Equations by Successive Approximations in Your Spreadsheet  P. Russell
Approximation formulae to compute real and complex solutions of equations in a spreadsheet. The site includes an introduction to slope and derivatives.
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 Solve My Math  Solvemymath
Online math integrals calculator, derivative calculator, function grapher, math formulas and facts, math quizzes and puzzles.
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 The solving of Fermat's Last Theorem  Karl Rubin; Ohio State University Distinguished Lecture
Slides for a talk that tells the story of Fermat's Last Theorem for a general audience, including the history of the problem, the story of Andrew Wiles' solution and the excitement surrounding it, and some of the many ideas used in Wiles' proof.
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 Solving Rubik's Cube  David Lee Winston Miller
A "bestfast" Arity Prolog program and demonstration of an efficient heuristic search method to solve Rubik's Cube. Examine the cube's topography (its flat layout) and "submachines." Documentation includes "Understanding the problem," "Why this approach
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 Solving the Quintic by Iteration [PDF]  Peter Doyle, Curt McMullen
This paper, which appeared in Acta Mathematica, gives explicitly a new solution to the quintic polynomial, in which the transcendental inversion of the icosahedral map (due to Hermite and Kronecker) is replaced by a purely iterative algorithm. The algorithm
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 Solving the Quintic with Mathematica  Wolfram, Inc.
Solving the Quintic  The impossibility of solving general quintics in radicals, Tschirnhaus's transformation, Klein's approach to the quintic, Solutions based on series, Solutions based on differential equations, Equations of higher degree. Steps to
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 The Soma Cube Puzzle  Modvix
Purchase the Soma Cube. Piet Hein, a Danish poet and inventor, visualized the set of all irregular shapes formed by no more than 4 cubes, each of the same size, and realized that the seven simplest irregular combinations of cubes can form a larger Soma
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 Some disasters attributable to bad numerical computing  Douglas N. Arnold; Institute for Mathematics and its Applications
Real life examples of what can happen when numerical algorithms are not correctly applied: The Patriot Missile failure (rounding errors); The explosion of the Ariane 5 rocket (a simple overflow); The sinking of the Sleipner A offshore platform (inaccurate
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 Some Interesting references about LLL  François Koeune
Papers on the LLL algorithm and its applications, divided into: Understanding LLL; LLL as a Tool; Latticebased Cryptosystems; Refinements and Variants of LLL; and Interesting links.
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 Some Materials for Discrete Mathematics  E. Lee Lady, University of Hawaii
Files in PDF, DVI, and Postscript format. Contents include: an algorithm for solving linear Diophantine equations, the Chinese remainder theorem, mathematical induction and recursive algorithms, Change of base to Cantor representation, Dijkstra's algorithm
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 Some Materials for the Graduate Algebra Course  E. Lee Lady; University of Hawaii
Syllabus, course notes, and various proofs, in PDF, PostScript and dvi format. The course assumes that students know about groups, rings, and vector spaces, and covers all the topics in algebra commonly used by analysts and topologists, such as commutative
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 Some Mathematical Works of the 17th & 18th Centuries  Ian Bruce
This website has a number of books in PDF format translated from Latin, as well as papers by Euler, Bernoulli, etc. The books translated include Briggs' Arithmetica Logarithmica, Trigonometria Britannica, Gregory's Optica Promota, Harriot's Praxis, and
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 Some Planar Isospectral Domains  Buser, Conway, Doyle, Semmler
A paper on isospectral pairs of plane domains, and a particularly simple method of proving isospectrality. One example is a pair of domains that are not only isospectral but homophonic, showing that one really can't hear the shape of a drum. With a gallery
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 Some Problems in Matroid Theory  Thomas Zaslavsky
Sources of problems compiled by Zaslavsky, and problems he's found interesting: Bonin's Projective Bound; Maximum rFlat; Covering And Packing by Flats. For general sources of information on matroid theory, see Matroid Miscellany.
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 Some Problems & Puzzles  Nancy Casey
Problems inspired by math books (Instant insanity; Penrose rhombs) and friends Larry Copes and Mike Fellows (BikePed, Idaho  also known as Muddy City).
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 Some Psychological Aspects of Developing Computer Based Instruction in Undergraduate Advanced Mathematics  Mikhail Bouniaev
A summary of a presentation given at the Joint Mathematics Meetings, January 1013, 1996, Orlando, Florida. The paper deals with research on teaching advanced math using theory of stagebystage development of actions. Since this theory is not very well
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 Some Solid (Threedimensional) Geometrical Facts about the Golden Section  Ron Knott
Phi and threedimensional geometry  Dice Shapes; Coordinates and other statistics of the 5 Platonic Solids; The Greeks and the platonic solids; Quasicrystals and Phi; Footnotes on Plato and Euclid, and on shapes for fair dice.
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 Something or other, whatever!  Christian LawsonPerfect
Links to "all my doings around the web" by an Aperiodical blog editor include three.onefouronefivenine.com, an infinitely scrolling vertical list of the decimal digits of π with occasional annotations; a free webbased system for building exams called
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 Some Things I've Written  Jennifer Gutbezahl
Research from the author's doctoral studies in social psychology. Gutbezahl's dissertation focused on how attributions for success and failure in mathematics affect how well students do in math class: "How Negative Expectancies and Attitudes Undermine
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 Some Thoughts on Measurement  Harold Brochmann
All measurements inherently have limited precision; it isn't sensible to give credence to measurements if you are dealing with a piece of ordinary paper and an ordinary wooden or plastic ruler, no matter how careful the person measuring has been. This
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 Some (Unsolved) Mathematical Problems  Jörg Winkelmann
A collection of some analysis questions the author encountered in the context of his own research.
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 Some Variations on the Theme of Polyominos  Recmath
Patterns that illustrate how the squares of polyominos are connected to each other. Examples of polyominos with a grid superimposed to illustrate the individual squares; with a line that joins the midpoint of two adjacent square if the squares are connected.
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 Sommer Cube  Michael Sommer
The faces of the modular Sommer Cube (S3) feed into twisted conduits that comprise a threedimensional, tunnelling maze. The website provides example arrangements and construction questions such as "Given that a ball must exit at the lowest S3 level and
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 A Song About Pi  Ivars Peterson (MathTrek)
A short biography of Irving Kaplansky, Director Emeritus of the Mathematical Sciences Research Institute (MSRI) in Berkeley, CA, and his analysis of the structure of complex songs.
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 sortedsums  D. J. Bernstein
A collection of tools for enumerating small solutions to certain types of Diophantine equations. Includes links to the latest published sortedsums package, and to a paper explaining the algorithms used.
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 S.O.S. Mathematics  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
Internet courses/tutorials to help students do homework, prepare for a test, or get ready for a class. The material presented here reviews the most important results, techniques and formulas in college and precollege mathematics. The learning units are
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 The soul of a chess machine  Ivars Peterson  Science News Online
Deep Blue's performance in its sixgame match in February against world chess champion Garry Kasparov impressed everyone. "It's a really serious opponent," Kasparov remarked afterwards. "I won... but it was as tough as a world championship match."...
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 The Source of UK Facts and Figures  Government Statistical Service, Office for National Statistics, UK
The information you need to access UK statistics. Links to: The Campion Fellowship in Official Statistics; Population Trends 98  reference and report tables; Quarterly Civil Service Staff in Post; UK in Figures 1999; Scottish Statistics Publications;
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 Source Panel Integrals / Java Matrix Solver  Marc Gerritsma, Jamie Grier
The source panel integrals Javascript can be used to calculate the integrals and the matrix elements of the source panel method (see sec 3.17 of Fundamentals of Aerodynamics, 2nd edition, by J.D. Anderson, jr.). The Java matrix solver can be used to solve
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