 Semigroups (Catalogue of Algebraic Systems)  John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida
Definition, examples, representations, and decision problems about semigroups.
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 Semigroup Theory  Jim Renshaw
A directory of Semigroup Theorists, bibliographic database, and conferences in Group and Semigroup Theory. With a link to a package for doing commutative diagrams, by Paul Taylor.
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 SemiSimple Lie Algebras and their Representations  Robert Cahn
A postscript version of the book, originally published by BenjaminCummings in 1984. Chapters include: SU(2); SU(3); The Killing Form; The Structure of Simple Lie Algebras; A Little about Representations; More on the Structure of Simple Lie Algebras;
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 Sending Mathematical Communications Electronically  Dave Rusin
Mathematical ideas sent via email tend to get rapid responses, and allow for precise earmarking of passages needing comment. There is however the problem of communicating the wide array of symbols and diagrams in a medium which should be assumed to use
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 SEOSL/MathSoL  HPC Software Inc.
Access this Science and Engineering Online Solution Library with username mathsol and password guest. SEOSL contains 2000 JavaScriptbased science and engineering solution functions. It can be used interactively on Web to compute geometry, basic math
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 The SeqFan Mailing List  Olivier Gérard
A mailing list for FANs of Integer SEQuences, bilingual in French and English, with a French acronym: Suites Entières: Questions, Formules, Analyse, Nomenclature, which translates as Problems, Formulas, Analysis, and Inventory of Integer Sequences.
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 Sequence and Series (calculus@internet)  WebPrimitives, Cambridge, Massachusetts
Links to Web pages for resources for sequences and series in calculus.
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 Sequence Cracker  Aleksandar Jus
A free Android app that challenges you to provide the next digit, given a sequence of numbers.
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 Sequences, Series, Summability  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to sequences and series, the most common examples of limiting processes; convergence criteria and rates of convergence are as important as finding "the answer." Particular series of interest (e.g. Taylor
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 Serendip  Bryn Mawr College
An expanding forum and a continually developing set of resources for exploring and supporting intellectual and social change in education, social organization, and for making sense of life, organized into: Brain and Behavior, Complex Systems, Biology,
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 Serf Distance Education Environment  Hofstetter, Univ. of Delaware
Serf stands for serverside educational records facilitator, a Webbased distance education environment that makes it possible to create and deliver courses in a selfpaced multimedia learning environment, enabling students to navigate a syllabus, access
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 Sessions on Calculators, 1997  Joint Meetings, AMS/MAA, San Diego, CA
The Use of HandHeld Technology in the Teaching and Learning of Mathematics: a selection of presentations about calculators from the AMS/MAA Joint Mathematics Meetings, 811 January 1997, San Diego, CA.
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 Sessions on Calculus Reform  The Math Forum
Excerpts from the MAA sessions and minicourses on Planning Reformed Calculus ProgramsExperiences and Advice, the AMS/MAA Joint Mathematics Meetings, January 1013, 1996, Orlando, Florida.
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 Sessions on College Standards  1997 AMS/MAA Joint Meetings
Presentations on college standards from the Joint Mathematics Meetings, 811 January 1997, San Diego, CA.
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 Sessions on College Standards at the AMS/MAA Joint Meetings  Math Forum
The 1996 Joint Mathematics Meetings in Orlando, Florida featured presentations on Standards for Introductory College Mathematics Courses Before Calculus, e.g. real mathematics for elementary education majors; Using data to enrich an algebra course; Modeling
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 Sessions on Minority Issues  1996 AMS/MAA Joint Meetings, Orlando, FL
Excerpts from the program for the Joint Mathematics Meetings, January 1013, 1996, in Orlando, Florida: panel discussions and other relevant presentations.
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 Sessions on Preservice Teachers  1997 AMS/MAA Joint Meetings
Presentations on "Needed Connections: Preparation of Teachers K12" from the Joint Mathematics Meetings, 811 January 1997, San Diego, CA.
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 Sessions on Research in Undergraduate Math Education  1997 AMS/MAA Joint Meetings
Presentations on research in mathematics education from the Joint Mathematics Meetings, 811 January 1997, San Diego, CA.
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 The Set Game Company  Set Enterprises Inc.
SetGame is a family game of visual perception. Take the Java tutorial; learn the math behind the game (create a 3x3 magic square with SET cards, learn why the largest possible "no set" contains 20 cards, explore set theory and set operations involved
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 A Set of Mathematical Equivoques  Ken Suman
An original collection of mathematical equivoques, puns, and wordplays
created to both amuse and to help students make mathematical connections
with literature, linguistics, the arts, philosophy, etc.
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 Set Theoretic Analysis (Topology Atlas)  Krzysztof Chris Ciesielski, Editor
An interactive encyclopedic reference for Set Theoretic Analysis, with most current research available immediately through the web and ftpcapabilities of the Topology Atlas. Contents: What is Set Theoretic Analysis?; What's new; Surveys; Preprints;
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 Set Theory and Foundations (MathPages)  Kevin Brown
About 30 "informal notes" by Kevin Brown on set theory and foundations: what is fuzzy logic, fractal logic, Cantor's diagonal proof, are all triangles isosceles?, on Gauss's mountains, problems with the luminiferous aether, and many more.
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 Set Theory  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to set theory. Naive set theory considers elementary properties of the union and intersection operators  Venn diagrams, the DeMorgan laws, elementary counting techniques such as the inclusionexclusion
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 Set Theory  Jean A. Larson; Dept. of Mathematics, Univ. of Florida
Links to home pages of set theorists.
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 Set Theory Page  Luis E. Sanchis; Syracuse University
A collection of links to sites on the Web related to set theory.
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 Seventeen Kinds of Wallpaper Patterns  Mathematics Museum (Japan)
Examples of the 17 wallpaper groups in Japanese culture. Also available in Japanese.
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 Several Complex Variables and Analytic Spaces  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to several complex variables, the study of (differentiable) functions of more than one complex variable. The rigid constraints imposed by complex differentiability imply that, at least
locally, these
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 SFU Department of Mathematics & Statistics  Simon Fraser University
Links to the departmental directory;
applied mathematics, and
statistics home pages; undergraduate and graduate course outlines and schedules; seminar, conference, and meeting information; and the Centre for Experimental and Constructive Mathematics
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 SG Symplectic Geometry (Front for the Mathematics ArXiv)  Univ. of California, Davis
Symplectic Geometry preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Shack's Math Problems  Michael Shackleford
Pages of math problems ranging from basic math to differential equations. Each problem comes with a difficulty rating from one to four stars, roughly a measure of how much time it took Shackleford to do the problem. Includes answers and, usually, solutions.
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 Shady Puzzles  LambdaMu Pte Ltd
A logic and elimination (disjunctive syllogism) puzzle: the column and row headers identify the number and spacing of shaded squares within a gridplace shaded squares where they belong according to those guides. The site includes a history of the puzzles,
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 Shai Simonson
Shai Simonson is an associate professor of computer science and mathematics at Stonehill College. The site contains the article "How to Read Mathematics," which uses the probability of two people having the same birthday as an example. The site also
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 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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