 ScottBeall.com  Scott Beall
Professional development programs for mathematics teaching and interdisciplinary curricula, emphasizing the integration of music and mathematics. With examples from his recent publication Functional Melodies  Finding Mathematical Relationships in Music
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 Scrambled Grids  Ivars Peterson (MathTrek)
The socalled baker's map, or transformation, in dynamical systems theory. One special case: Start with a square. Stretch it to twice its original length
while making it half as wide. Cut the result in half, and stack one half on top of the other to
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 Sculpture Generator  Ivars Peterson (MathTrek)
"Judging what a sculpture will look like after it is finished can present many difficulties for an artist just beginning a piece... Computer scientist Carlo Séquin of the University of California, Berkeley, specializes in the
computerassisted
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 Sean's Home Page  Sean Mauch
"For the past few years I have been working on an open source textbook. It contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations...." This former
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 Searching For New Mathematics  Ivars Peterson
Peterson points out that nonmathematicians interested in keeping up with contemporary mathematical research face daunting obstacles: the high level of abstraction, unenlightening notation, and the format of journal papers all conspire to make any foray
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 Search MSRI Library Catalogue  Mathematical Sciences Research Institutes
Fill in the patterns (words or word fragment) you wish to search. The pattern can be from the title, author, subject, publisher, or series.
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 Search Netlib  Netlib Repository at UTK and ORNL
Netlib is a collection of mathematical software, papers, and databases. Another Netlib search interface (which indexes the same material) is available at
http://netlib.belllabs.com/netlib/search.html. Also search the NADigest.
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 Search the UK Mirror Service  Higher Education National Software Archives
Formerly HENSA, this UK service maintains copies of electronic archives from all over the world, providing access to a wide range of uptodate software for those using PC's and microcomputers. The indexes searched allow you to find software held in any
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 Second Moment  Stone Analytics
A meeting place for academia and industry in the fields of applied statistics and analytics, showcasing cutting edge academic research. Also a resource for industry analysts and businesses interested in applying the latest statistical and analytical tools
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 Secrets of the Beehive  Keith Devlin; Guardian Unlimited Archive
The 4th century geometer Pappus was one of several ancient Greek mathematicians who suspected that the elegant shape of the honeycomb was a result not of an innate beesense of geometric beauty but of nature's efficiency. The repeating pattern of sixsided
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 Seeing Red  Keith Devlin (Devlin's Angle)
Though it is fashionable to talk about the mind as a computer, a better description is that it is a pattern former/recognizer... The problem facing the computer scientist trying to equip a computer with vision is how to simulate
this pattern creation/recognition
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 Selected Papers  Louis A. Talman
"An Unfortunate Metaphor" [the assembly line], Notices of the American Mathematical Society, 40 (1993); "Weekly Journal Entries  An Effective Tool for Teaching Mathematics," Using Writing To Teach Mathematics, MAA Notes, No. 16, Mathematical Association
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 Selected Recent Publications  George W. Hart
Areas of Hart's research and pointers to further information, including a bibliography of his publications. Links to pages on: Multidimensional Analysis; Nonintrusive Appliance Load Monitoring; Telecommunications Network Management; Viterbi Algorithm
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 Selected Technical Papers by Title  UAB Graphics and AI Laboratory (GRAIL)
Papers from GRAIL, the University of Alabama at Birmingham Department of Computer and Information Sciences center for research in computer graphics and vision. Includes: The bisector of a point and a plane parametric curve; Computing point/curve and curve/curve
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 Self Portrait at Age 13: Albrecht Durer 1484  Ralph Martel
A paper illustrated by a PowerPoint slide show to demonstrate how Albrecht Durer used geometry in his art work from the age of thirteen. This paper by Martel is one of a series that he is writing on mathematics and art. Suzanne Alejandre wrote a teaching
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 SelfReference and Apparent SelfReference  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Various paradoxes, real and imagined, including verbal, logical, and mathematical examples, and links to: Blinking page with errors; Apparent paradox; Set of all subsets; An Impossible Page; Russell's paradox; and An Impossible Machine.
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 Selfsimilarity  Robert L. Devaney; Dept. of Mathematics, Boston University
A section from the paper "Chaos in the Classroom," describing selfsimilarity, with the example of the Sierpinski triangle.
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 Semidefinite Programming  Christoph Helmberg
A page for the entire semidefinite community. Links to lists of: Conferences and Workshops; Interior Point Algorithms; Geometry and Complexity; Applications in Combinatorial Optimization; Applications in Control Theory; Eigenvalue Oriented Approaches;
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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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 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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 SERVE
An education organization promoting and supporting the continuous improvement of educational opportunities for all learners in the Southeast United States. SERVE provides resources, services, and products in the program areas of assessment, accountability,
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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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 Setting the Stage with a Story  Suzanne Alejandre
Article about the development, and implementation, of online lessons created by Varnelle Moore at a Math Forum summer institute. Originally published in the June, 2013, issue of the CMC ComMuniCator, journal of the California Mathematics Council.
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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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 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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 Shelley's Mathematics Articles  Shelley Walsh
"Little selfcontained articles [that] write up more than you can normally fit in a lecture, and ... hopefully put together enough explanation so that there's something for a great variety of different ways of thinking." Organized into Geometry; Analytic
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 Shelley Walsh
Syllabi and notes for math courses from arithmetic review to beginning calculus. Download MathHelp a tutorial program with problem sets for Mac or PC, or learn how to use MathHelp to create your own tutorials. Brief Mathematics Articles present concepts
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 Shock and Vibration Software and Tutorials  Tom Irvine, Vibrationdata.com
Free downloadable Windows software and tutorials with an emphasis on acoustics, shock, vibration, and signal processing. Much of the material is based on Fourier transforms, Laplace transforms, and other mathematical functions. The author also offers
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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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 Shortest Enclosures on Surface of Cube (Math Chat)  Frank Morgan, MAA Online
The circle provides the leastperimeter way to enclose given area in the plane. What is the leastperimeter way to enclose given area in the surface of the unit cube? Answer: Al Zimmerman correctly finds that the best way to enclose small area is not
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 Should Mathematicians and Mathematics Educators be Listening to Cognitive Psychologists?  Annie and John Selden; Mathematical Association of America
Organized into four sections: Different Questions and (often very) Different Views of Mathematics; Shared Underlying Principles of Knowledge Axquisition; Where is the Mind? and Some Concluding Reflections. Subsections include A Schema Theory; Mathematics
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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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 ShowMe Center
A National Science Foundation project supporting implementation of standardsbased middle grades mathematics curricula. The site features a calendar listing professional development opportunities; information about five different math curricula (Connected
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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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 The Sierpinski Triangle  Robert L. Devaney; Dept. of Mathematics, Boston University
Section from the paper "Chaos in the Classroom," describing the deterministic (rather than random) construction of the Sierpinski triangle.
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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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 The Significance of the NCTM Standards to the Pathways (NCREL)  Cathy Cook; Pathways to School Improvement
Critical Issues in Mathematics. The Standards represent a major effort to develop mathematically literate citizens. They should be viewed as facilitators of reform, rather than as a set of directives. They are designed to help schools achieve national
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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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 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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 SimCalc Curriculum  James J. Kaput, Principal Investigator; Simulations for Calculus Learning
The SimCalc Project aims to democratize access to the Mathematics of Change for mainstream students. How the math of change can contextualize and organize many other important ideas already in the curriculum, moving to a strands structure that allows
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 SimCalc Library  James J. Kaput, Principal Investigator; Simulations for Calculus Learning
Papers and other writings on the SimCalc Project, which aims to democratize access to the Mathematics of Change for mainstream students: "Learning the Basics with Calculus"; "An introduction to the profound potential of connected algebra activities:issues
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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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 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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 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 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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 SINUS transfer  University of Bayreuth
Spurred by the outcome of the Trends in International Mathematics and Science Study (TIMSS), Germany launched a nationwide "model programme for increasing efficiency in mathematics and science education." Between 1998 and 2007, more than 1800 of the
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