 The Shape of Space  Jeff Weeks
This textbook surveys the basic geometry of two and threedimensional spaces — stretching students minds as they learn to visualize new possibilities for the shape of our universe. Contains illustrated examples and engaging exercises intended to teach
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 SHAPES  XOX Corporation
Providing advanced C/C++ libraries and applets for application developers in GeoScience, CAE, CAD, Medicine, and other industries that require geometry and topology. Their primary product is Shapes®, a geometry system. Site offers contact and product
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 SHAREWARE.COM  CNET, Inc.
Search more than 250,000 files in the former Virtual Software Library: first select the platform of your choice, then enter the word or filename to search for. You may also search for files in a specific archive here by first selecting the archive of
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 Sharp3D.Math Project Page  Eran M. Kampf
A .NET Numerics Library built in C#. It contains objectoriented classes for linear algebra, geometry and a broad range of numerical techniques for the Microsoft .NET framework. Topics covered: Matrices and Vectors, Complex Numbers, Distance Methods,
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 Shell Centre  Shell Centre for Mathematical Education Publications Limited
Publishers of math education design, development, and research, including about the Mathematics Assessment Resource Service (MARS) and the Balanced Assessment for the Mathematics Curriculum. Read descriptions, reviews, and sample pages of teaching materials
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 The Shoelace Problem  Ivars Peterson (MathTrek)
How should shoes be laced? This seemingly simple question, rooted in everyday life, can provoke passionate argument  and evoke a mathematical response. There are at least three common ways to lace shoes, as illustrated: American (or standard) zigzag,
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 Shortcuts to Departments of Physics, Engineering, and Mathematics  Fred Lemmerhirt, Waubonsee Community College
A collection of quick links to departments of physics, engineering, and mathematics at most U.S. universities and fouryear colleges, listed
both by location and alphabetically. Many twoyear colleges are also included.
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 A Short Guide to Writing Mathematics  Stephen B. Maurer; Dept. of Mathematics & Statistics, Swarthmore College
A guide to mathematics writing for college students who want to learn mathematical style  math majors or prospective majors, or students who will go into other quantitative fields and expect to communicate with mathematics in their careers. You may contact
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 Should Nader Voters Flip a Coin? (Math Chat)  Frank Morgan, MAA Online
Answer to the Challenge: Suppose that in a certain U.S. state 12 million potential voters favor Bush, 10 million favor Gore, and 5 million favor Nader with Gore as second choice. The Nader supporters want to be sure than Gore wins, but they would like
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 ShtetlOptimized  Scott Aaronson
Blog posts include "Teaching your students not to need a teacher," "Ten Signs a Claimed Mathematical Breakthrough is Wrong," "Essentials of complexitytheoretic standup comedy," "My take on the Koblitz affair, "Logicians on safari," and "Unparadox Contest."
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 SIAM Activity Groups  Society for Industrial and Applied Mathematics
Activity Groups on: Control and Systems Theory; Discrete Mathematics; Dynamical Systems; Geometric Design; Geosciences; Linear Algebra; Optimization; Orthogonal Polynomials and Special Functions; Supercomputing, etc. Rules of Procedure, Initiation and
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 SIAM Journal on Discrete Mathematics  Society for Industrial and Applied Mathematics
A journal that publishes research articles on a broad range of topics from pure and applied mathematics, including combinatorics and graph theory, discrete optimization and operations research, theoretical computer science, to coding and communication
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 SIAM Journals  Society for Industrial and Applied Mathematics
The journals of the Society for Industrial and Applied Mathematics (SIAM): Applied Mathematics; Computing; Control and Optimization; Discrete Mathematics; Mathematical Analysis; Matrix Analysis and Applications; Numerical Analysis; Optimization; Scientific
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 SIAM's Undergraduate Page (Society of Industrial and Applied Mathematics)  Math Department, Univ. of New Hampshire
SIAM serves the mathematics and industrial communities and offers another way to bring the two together. Mathematics articles and essays submitted by undergraduates; profiles of recent graduates and mathematicians in industry; information about internships
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 Sierpinski Shapes  Rick and Donna Joi
An interactive Java applet that allows you to create hundreds of fractal shapes using a variation of the Sierpinski triangle algorithm. Includes a page that provides a nontechnical explanation (with pictures) of the fractal math.
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 Sieve of Eratosthenes  Program in C
A class assignment for Mathematics 216: Introduction to Mathematical Computation (with C) at the Univ. of Utah. The new part of the C language learned was the array. Problems: Design a program to make a list of primes less than N = 100 using Eratosthenes'
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 Sifting through the Web's data jumble  Ivars Peterson; Science News Online
A combination of text and link analysis underlies a novel method based on analyses of the way Web pages are linked to one another for automatically generating lists of authoritative Web resources.
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 Sight Enhancement Systems
Manufacturers of large display scientific calculators with speech output, and of large display calculators that allow people with low vision to perform scientific, statistical and trigonometric calculations. Download brochures and manuals for the SciPlus
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 Significant Digits  R. H. Logan, Instructor of Chemistry, El Centro College
An explanation of significant digits, with sections on: Measured Values; Computed Values; Rules for Determining the Number of Significant Digits In Numbers With Indicated Decimals; Significant Digits In Numbers Not Having an Indicated Decimal; Significant
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 Significant Figures and Rounding Rules  Christopher Mulliss
A site dedicated to the discussion of issues relating to the proper teaching of
significant figures and rounding rules in high school and college science courses. Includes a link to a detailed study "On the Standard Rounding Rule for Multiplication and
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 SI Guide  James R. Frysinger
SI (International System) measurements and quantities, with pages for: a basic starter set of units and prefixes; the unit compendium (a more complete list); the prefix compendium (a complete list); rules on usage (spelling, capitalization, spacing, plurals,
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 Silicon Champions of the Game  Ivars Peterson  Science News Online
Deep Blue's triumph over Gary Kasparov in May of 1997 marked the first match victory by a chessplaying computer over a reigning world champion. Some of the world's top computer programs are also playing backgammon, bridge, checkers, chess, Go, Othello,
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 SIMATH  Marc Conrad
A computer algebra system, especially for number theory. Try out the online version of the SIMATH calculator simcalc; a more detailed overview is available as a .dvi file or you can download the TeXSource of this file.
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 Simon Plouffe  Simon Plouffe
Home page of Simon Plouffe, pi expert and originator of Plouffe's Inverter. Contains links to his articles and algorithms for his approximations of various constants.
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 Simons Foundation
This private foundation advances the frontiers of research in mathematics, theoretical computer science, and theoretical physics. Simons Foundation grants have established postdoctoral fellowships, promoted collaboration between researchers, created
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 Simple Minds, Smart Choices  Bruce Bower  Science News Online
The Center for Adaptive Behavior and Cognition at the Max Planck Institute for Human Development in Berlin has launched a project to explore the impact of bounded rationality on human judgment. The group focuses on what it calls "fast and frugal" formulas
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 Simplex Place  Moshe Sniedovich; Dept. of Mathematics & Statistics, Univ. of Melbourne
An introductory discussion of the Simplex Method used in linear programming problems, with a JavaScript "Simplex Machine" for you to experiment or solve a problem with. Also check out the DP Virtual Studio for a variety of wellknown dynamic programming
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 Simply Statistics  Leek, Jeff; Peng, Roger; and Irizarry, Rafa
Biostatistics professors Leek, Peng, and Irizarry "are fired up about the new era where data are abundant and statisticians are scientists." Their blog, which dates back to September, 2011, has included posts such as "Precog and stats," "Kindle Fire
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 simpsonsmath.com  Sarah J. Greenwald and Andrew Nestler
The animated sitcom The Simpsons "contains over a hundred instances of mathematics, many designed to expose and poke fun at innumeracy," which make it "an ideal source of fun ways to introduce important concepts to students, and to reduce math anxiety
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 Simtel.Net  Digital River, Inc
A distribution network for shareware, freeware, and public domain software. Browse or search for programs running on the platforms of Windows 95/98, DOS, or Windows 3.x. Windows 95/98 mathrelated programs range from abacus instructional packages to an
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 Simul8  Simul8 Corporation
Developers of SIMUL8, for discrete event simulation. The company’s products include the plugins: SIMUL8 Profit, SIMUL8 OPTIMIZ, SIMUL8 TimeView, SIMUL8 Transport, SIMUL8 Process, and SIMUL8 Animation for VISIO.
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 Simulacion 4.0 (Monte Carlo Simulation)  José Varela
A flexible, easytouse simulation tool, Simulación 4.0 was fully developed in VBA (Visual Basic for Applications) and is compatible with Excel 97 and above. Features: 34 random number functions; simulation with the Monte Carlo method, between 1  65,000
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 Simulating Society  Ivars Peterson (MathTrek)
Computer simulation offers a powerful tool for studying human social behavior, contends Richard J. Gaylord of the University of Illinois at UrbanaChampaign. A theoretical physicist turned computational sociologist, Gaylord has developed models of social
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 Simulations & Demos  Rice Virtual Lab in Statistics
An integrated set of simulations, demonstrations, and case studies from the Data Analysis Lab (choose statistical analyses: Descriptive; Histogram; Boxplot; Stem and Leaf; ttests; Correlation and regression; ANOVA). Simulations include Java applets that
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 Simulations Nab Proteinfolding Mistakes  Ivars Peterson  Science News Online
The human body manufactures thousands of different proteins, which act as enzymes, structural elements, or carriers. Each protein starts out as a long strand that must fold itself into the proper shape to perform its specific function. To gain insights
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 Simultaneous Perturbation Method for Optimization  James C. Spall
A site devoted to a powerful method for optimization of processes dependent on more than one variable. The method pertains to "stochastic optimization," that is, optimization in the presence of random variation (such as measurement noise). The site provides
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 SingaporeMath.com Inc.
Formerly "Family Things," this family business located in Oregon, USA provides information, sample pages, and ordering information for the Singapore mathematics and science curricula, with sample placement tests for the New Elementary Math Series, sample
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 singingbanana.com  James Grime
YouTube videos, "lazy microblog," and social networking hub of Enigma Project Officer James Grime, who "hopes to explain to kids and general audiences why he love his maths so much, to challenge some of the public's misconceptions, and to explain why
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 SINGULAR  Greuel, Pfister, Schoenemann; Dept. of Mathematics, Univ. of Kaiserslautern
A computer algebra system for polynomial computations, with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
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 Sir Roger Penrose  World of Escher
Recreational math is the passion of Sir Roger Penrose, who was recently knighted for his outstanding contributions to mathematics. Penrose is a professor of mathematics at the University of Oxford in England, where he pursues an active interest in recreational
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 Sir William Rowan Hamilton  D.R. Wilkins; School of Mathematics, Trinity College, Dublin
Material relating to Sir William Rowan Hamilton, including his letters and papers describing mathematical optics and conical refraction, dynamics, the theory of algebraic couples (complex numbers), the theory of equations, and quaternions; a memorial
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 SISA: Simple Interactive Statistical Analysis  Daan Uitenbroek
SISA is a collection of procedures for performing simple statistical calculations online, using HTML Forms. SISA's statistical tools include statistical procedures: (sequential probability, ratios, ttest, Fisher exact, two by two table, ordinal tests,
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 The SISL Nurbs Library  SINTEF Applied Mathematics
A library of NonUniform Rational BSplines (NURBS) software, developed and
maintained by the Department of Geometric Modelling at SINTEF Applied Mathematics. The SIntef Spline Library (SISL) contains all the necessary functionality for building applications
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 A Site For Cyber Eyes  BZLeonard
Fractals, graphics, photos and altered photos, 3D graphics, links, Sherman's Humor Column, and Ginger's Diary (A teenager describes being bombed by the Japanese on December 7, 1941).
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 Sites Dedicated to Teaching of Mathematics (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
Links to sites that contain materials (other than software) useful in the teaching of mathematics at the community college, college and university levels. (For a similar listing of K12 sites, check out the Mathematics Archives K12 Home Page.)
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 Sites with Problems Administered by Others  Math Forum
Problems of the week or month: a page of annotated links to weekly/monthly problem challenges and archives hosted at the Math Forum but administered by others, and to problems and archives elsewhere on the Web, colorcoded for the level(s) of the problems
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 Sketches for Cabri Geomètre (v. 1)  L. J. Dickey, University of Waterloo
Cabri Geomètre (the original version of of the program) figures to download (binhexed): Conic Given by Five Points; Ten Sketches of Desargues Theorem; Harmonic Conjugates; The Inverse of a Circle; The Inverse of a Line; The Inverse of a Point;
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 Sketch Exchange  Key Curriculum Press
Share Sketchpad activities, tips, questions, and ideas in this online community dedicated to the dynamic geometry software. Browse sketches by grade level, topic, or tags.
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 Sketchpad 3.0 Gallery  Finzer, Jackiw; Key Curriculum Press & The Math Forum
A collection of sketches and scripts that show off new features of version 3 of the Geometer's Sketchpad in categories: Arcs and Architecture; Algebra and Beyond; Physics; Statistics; Curves; and Poincare Disk.
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 Sketchpad Activity Center  Bill Finzer, Key Curriculum Press
Interactive lessons for use with an early version of the Geometer's Sketchpad. Construct a fractal tree using a recursive script; use the Point on Object command to study random phenomena. These lessons have been used in Key Curriculum Press's summer
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