 Euler Systems  Karl Rubin
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to padic Galois representations. Here, in the first
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 EuroMathJob  Sigmundur Gudmundsson; Lund University, Sweden
Vacant academic positions in the European Departments of Mathematics and Statistics: links to job pages around Europe, set up and maintained by the various member societies of the EMS, established by Sigmundur Gudmundsson (Lund University, Sweden) on
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 The European Consortium for Mathematics in Industry (ECMI)
A society to promote the use of mathematical models in industry and educate industrial mathematicians. Conferences, newsletter, certificate program in industrial mathematics, and prizes for related work.
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 European Journal of Pure and Applied Mathematics  Tekir, Ünsal; Çetin, Eyüp; and Delice, Ali, EditorsinChief
An international electronic journal for original research in the field of pure and applied mathematics and their teaching and learning. "The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers
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 The European Mathematical Information Service (EMIS)  European Mathematical Society (EMS)
Information about the EMS and its activities and projects (EULER and the Jahrbuch project); corporate and individual member listings; EMIS updates, conference calendar, job listings for the European mathematical community, other activities, and math links
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 European Women in Mathematics (EWM)
A society of women bound by a common interest in the position of women in mathematics. Membership information, meetings and conferences, and a newsletter.
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 Europe  Mathematics and the Liberal Arts  Todd Hammond
Notes on published articles: a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and on the connections between mathematics and other disciplines.
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 Eurostat
The statistical office of the European Union, Eurostat collects statistics about European Union member countries, their neighbors, and their trading partners worldwide. Includes an introduction to Eurostat, selected socioeconomic figures including data
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 The Evariste Galois Archive  Bernard Bychan
A biography of Galois in five different languages, a mailing list, and an introduction to Galois Theory.
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 Everything Is Mathematical  RBA Contenidos Editoriales y Audiovisuales S.A.
Based on the series of books, published weekly in association with The Times and presented by Marcus du Sautoy, which aims to demonstrate clearly how mathematics shapes the world around us. Blog posts, which date back to September, 2012, have included
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 Evil Mad Science  Evil Mad Science LLC
Producers of doityourself (DIY) and opensource hardware designs in support of art, education, and accessibility. See, in particular, the d20 and d12 Handbags of Holding Kits (zippered bags in the shape of dodecahedra and icosahedra) and the kit for
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 The Evil Twin Strategy For a Football Pool  Joseph DeStefano, Peter Doyle, J. Laurie Snell
A paper that appeared in the "American Mathematical Monthly," on the mathematics of a novel idea for winning a betting pool.
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 Evolutionary Dynamics  Daniel Rosenbloom
Problem sets and links to reference books for modeling dynamical systems in evolutionary biology. Course Assistant Rosenbloom's Mathematica tutorials and examples include two HIV scenarios (simple virus dynamics, and virus dynamics for multiple strains)
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 EWorld  Glenn Elert
A homepage including links for his Midwood High School classes, Teachers College (Columbia) materials, especially papers on mathematics (Chaos, Fractals, Dimension; Ptolemy's Table of Chords; Mathematics Packages) and education reform (School Choice;
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 Exact Confidence Interval for a Proportion  Michael P. McLaughlin
Online calculator (with descriptive text) to compute a Bayesian credible interval for an observed proportion.
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 Exactly How Is Math Used In Technology?  Mathematics Dept., British Columbia Institute of Technology
A table of examples of how various areas of mathematics are applied to various areas of technology. Areas of technology include biomedical engineering, food technology, building technology, chemical sciences, civil and structural engineering, graphics
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 Exambot  Exambot Educational Services
A free database (requires registration) of math and physics questions with fully worked solutions; also an exam set generator that will produce customized practice exams to match the profile of any course.
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 Examination Papers  University of Cambridge
Download PDF and PostScript files of Cambridge's mathematical tripos examination papers from the past decade. See also the exam papers from Natural Sciences Tripos (NST) and Part III (postgraduate).
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 Example Problems.com  Todd Smith
This site is an opencommunity collection of math problems and full solutions for every area of math from Algebra through graduate level partial differential equations, optics, and special functions. The code used on the site's wiki is the same as TeX.
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 Examples of Essays  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Extended Concurrencies of the Triangle, J. Wilson; Parabolas Inscribed in a Triangle, G. Giddings; Polygonal Spirals, L. Shook and M. Callinan; Roots 2 and 5, J. Wilson; Those Amazing Palindromes, Shareef Bacchus; Tangrams, Greg Huberty; Phi: That Golden
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 ExamSolutions
ExamSolutions.co.uk is designed to help revision for maths A level. It contains questions, answers and worked solutions to past exam papers from Edexcel, OCR and AQA exam boards, all in PDF format. Some are free.
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 Excel Everywhere.com  Framtidsforum I&M AB
Automatically converts a spreadsheet into a goodlooking and calculating web page. It can be used to present mathematics on the web, and for creating selfcorrecting tests. Teachers can get free licenses for student projects, so that these can be presented
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 Excel Models Blog  Jess
Blog about the use of Excel to analyze realworld problems mathematically. Posts, which date back to October, 2011, have included "Simple Excel Sales Dashboard," "Tutorial Using Concatenate Function In Excel," "Teacher Grade Book," "Buying House To Rent,"
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 Excel's Solver and Premium Solver Platforms  Frontline Systems, Inc.
A resource for users of spreadsheets, optimization, and other mathematical software. Solver.com's free support information for the standard Excel Solver is more extensive than Microsoft's own site for Excel. Includes a Solver Tutorial and a set of powerful,
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 Excel Tutorial  www.exceleasy.com
Free, stepbystep tutorials on functions, data analysis, VBA, and more features of Microsoft's spreadsheet software. All primers include illustrative screenshots and sample download .xls files.
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 Exercices on Mathematics  Luis Breda
Online math drills in English and Portuguese: lines, fractions, points and vectors, powers and radicals, firstdegree equations, seconddegree functions, trigonometry, circles, and derivatives.
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 Exercises in Imagination (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
How do you imagine geometric figures in your head? Most people talk about their threedimensional imagination as 'visualization', but that isn't exactly right. A visual image is a kind of picture, and it is really twodimensional. The image you form in
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 Exercises in Math Readiness for University (EMR)  Dept. of Mathematics and Statistics, University of Saskatchewan
A collection of exercises with solutions/tutorials for high school mathematics topics important for university study in mathematics, sciences, engineering and commerce. Exercises at three degrees of difficulty, covering graphing, solving inequalities,
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 Expanding Universe: a classified search tool for amateur astronomy  Daniels, Enright, Gliddon, & SenRoy
A collection of sites organized using a modified Dewey Decimal Classification, to make searching the web more like browsing a library shelf. Includes an alphabetical terms list for searching and a request for more sites.
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 The Expected Number of Rising Sequences After a Shuffle [PDF]  Peter Doyle
A paper taking up Brad Mann's derivation of his simple expression for the expected number of rising sequences in a deck after a shuffle, which involved lengthy gymnastics with binomial coefficients. Doyle provides a short derivation. A PostScript file
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 Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces  David W. Henderson; Cornell University
A book that presents a series of problems. Most of the chapters start intuitively and are accessible to a general reader with no particular mathematics background; however, the discussions were written for mathematics majors and mathematics teachers and
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 Experimentation, Graphing, and Algebraic Derivation  R. H. Logan
A scientific graphing lesson that details the derivation of the slope intercept formula; the slopeintercept formula in Chemistry; and linear relations in Chemistry and Physics.
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 Experiments with the 3n+1 Sequence  Alfred Wasserman
An online program tests numbers for convergence under the 3n + 1 sequence. Also available in German.
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 ExperSim: Experimental Simulations  McClelland, Polson; University of Colorado
Generate simulated experimental data for four studies  Imprinting in Precocial Birds (Rajecki), The Etiology of Schizophrenia (Main), Motivational Factors in Routine Performance (Mueller), and Social Facilitation (Rajecki & HalsteadNussloch). For
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 Expert Choice
Analytic Hierarchy Process (AHP) and other decision support software for strategic planning and operations research.
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 Expert Math Tutoring in New York  Expert Tutor NY
Ivy League chemistry graduate and certified test prep course teacher offers private instruction for math at high school and college levels in metropolitan New York area  Regents, SAT, SAT II, algebra, geometry, trigonometry, calculus, precalculus.
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 Explained Visually  Powell, Victor; and Lhe, Lewis
Interactive JavaScript to "make hard ideas intuitive." Drag sliders and select values to simulate sine and cosine, exponentiation, Markov chains, conditional probability, and more.
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 Explaining Mathematics  Joel Feinstein
Ideas and praxis by a lecturer at the University of Nottingham (UK). Feinstein's blog posts, which date to December, 2008, have included "How and why we do proofs" and "Problems using LaTeX seminar class with pdflatex" and "Feedback on the use of IT in
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 The Exploratorium
Home page of San Francisco's museum of science, art and human perception. Online exhibits, cool sites, archives, sport and science, and the digital library (the Exploratorium AtoZ).
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 Exploratorium's Science of Baseball  The Exploratorium
Interactive (Shockwave) exhibits from San Francisco's science museum include Fastball Reaction Time (can you hit a 90mph fastball?) and Scientific Slugger (see what makes a home run: vary the angle of the ball, bat speed, and pitch speed, then watch
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 Exploratorium's Science of Cycling  The Exploratorium
Organized into seven sections. Introduction: What is the Science of Cycling? The wheel: Why do road bikes have thin tires, while mountain bikes have fat tires? Drives and gears: What is a gear ratio? And how do gears help make the bicycle so efficient?
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 Exploratorium's Science of Hockey  The Exploratorium
This site takes you inside the game: you'll hear from National Hockey League players and coaches, as well as leading physicists and chemists. Divided into seven main sections: the ice (why is ice slippery?), skating (what are the mechanics involved in
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 Exploratorium's Skateboard Science  The Exploratorium
Watch a webcast (RealPlayer) of professional skateboarders performing as an Exploratorium staff physicist explains the physics behind this extreme sport; also, an interview with a skateboard designer, and a Flatland Freestyle demo. "Trickscience" looks
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 ExploreLearning.com  ExploreLearning
A library of virtual manipulatives called "Gizmos", primarily for grades 312, in math and science. Math topics include the major strands of instruction according to national standards, as well as developmental math, college algebra and collegelevel
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 Exploring Abstract Algebra with Mathematica  Kenneth M. Levasseur; Dept. of Mathematical Sciences, Univ. of Massachusetts at Lowell
An assortment of functions illustrated in Visual Mode that are available in the AbstractAlgebra Packages. Identity; Inverses; AssociativeQ; AbelianQ; CayleyTable(s); OrderOfAllElements; Commutators; GroupExponent; Dihedral; Morphoids/PreservesQ; VisualizeMorphoid;
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 Exploring Advanced Euclidean Geometry with Geometer's Sketchpad  Gerard A. Venema
A sequence of PDFs that show how to use dynamic visualization software to explore topics in collegiate Euclidean geometry. Each file is 0.2MB or smaller. The complete sequence runs 121 pages, and features a table of contents, bibliography, index, and
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 Exploring Chaos and Fractals  RMIT Publishing
An electronic textbook on CDROM which covers the subject of chaos theory and fractal geometry and includes text, worksheets, sound, video, and animation. Course material is presented with multiple entry points and themes, and can be used within a single
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 Exploring Emergence  Resnick, Silverman; Epistemology and Learning Group, Massachusetts Institute of Technology (MIT)
An active essay that uses Java applets to explore the idea of emergence, examining how objects and patterns can arise from simple interactions in ways that are surprising and counterintuitive. Examples with simple squares that turn on and off and give
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 Exploring Hyperspace with the Geometric Product  Thomas S. Briggs
This paper presents an area of higherdimensional geometry to a general audience. It also highlights areas where new discoveries could be made. This exploration encounters double prisms, the double cylinder, prism cylinder, flat torus, spherical hypercylinder,
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 Exploring Precalculus  William Mueller
A lively and intuitive introduction to precalculus. Materials center on three themes: functions, rates of change, and accumulation. Showing the subject from many angles, illustrations include algebraic, graphbased, and realworld examples, and feature
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