 Escher and the Droste effect  B. de Smit and H. W. Lenstra Jr., Mathematisch Instituut, Universiteit Leiden, the Netherlands
Applying mathematics to Escher's Print Gallery. A mathematical analysis of Escher's "The Print Shop," including an image of the original print. See the article (PDF format) Artful Mathematics: The Heritage of M.C. Escher in the Notices of the AMS, bringing
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 Escher Tiles  Hop David
Tessellations that resemble recognizable objects, created by the author in the style of M. C. Escher.
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 Escher Web Sketch  Wes Hardaker, Gervais Chapuis; Univ. of Lausanne, Switzerland
A Java applet that allows you to draw repeating patterns. With documentation on how to use the applet, a pattern archive, the authors' favorite patterns, a link to download Escher Web Sketch, the program's source code, and interesting crystallographic
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 Eskimo Pi  Keith Devlin (Devlin's Angle)
"As everyone knows, in the last century, the State of Indiana passed a law legislating the value of pi to be 3. Well, perhaps it's a bit of an exaggeration to say that everyone knows it, but most people do. But that alone is very odd, since it is not
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 Espaces Fibrés et Connexions  Robert Coquereaux
Un livre de géométrie différentielle en hypertexte; une introduction a la théorie des espaces fibrés et des connexions. A hypertext book in French on differential geometry.
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 Essay Ideas  Jim Wilson, Dept. of Mathematics Education, Univ. of Georgia
For a course on Using Computers in Mathematics Instruction. Friday the 13th (show there are at most three and at least one Friday the 13th in each year, consider when two consecutive months can be have Friday the 13th); Gingerbread Man (a Microsoft Excel
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 An essay on patterns in musical composition, transformation, mathematical groups and the nature of musical substance  Bill Hammel
An article on music composition and history, with a discussion of the organizing principles of various musical scales as they affect musical composition and links to related sites.
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 Essays on Constructivism and Education  Tom O'Haver; Maryland Collaborative for Teacher Preparation
An extensive collection of articles on constructivist teaching strategies, change in education, technology in the classroom, hypertext and cognitive flexibility, constructivist pedagogy readings, and more.
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 Estadistika  SINCOW
Software for statistical analysis written in PHP: includes measures of central tendency, frequency distributions, median, mode, average, graphic results, surveys online. Free trial version. Free online calculator also available.
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 Ethical Guidelines (AMS)  American Mathematical Society
Guidelines prepared by the Special Advisory Committee on Professional Ethics, (Murray Gerstenhaber, Frank Gilfeather, Elliott Lieb, and Linda Keen, chair), and adopted by the Council in the Spring of 1995 in the name of the Society. Topics address: Mathematical
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 Ethics in Science  Dept. of Chemistry, Virginia Polytechnic Institute
A bibliography of publications that pertain to ethics and misconduct in science; Internetbased resources related to ethics and misconduct in science, including hyperlinks to online professional codes of conduct; Selected Essays on Ethics in Science (the
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 Euclid
A VRML based project that demonstrates the construction of the five Platonic Solids from Book 13 of Euclid's Elements. The aim of the original Euclid project was to provide a clearer sense of the classical geometry of Euclid's Elements. It is hoped that
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 Euclid and his Elements  Donald Lancon, Jr.; University of Houston
A paper written for a Survey of Math class at Bellaire High School(Bellaire, Texas): a discussion of what is known about Euclid's life and his works other than the Elements, followed by a systematic study of the Elements, examining its content, structure,
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 EuclideanSpace  Martin Baker
Introductions to algebra, geometry, calculus, discrete math, and statistics, particularly where relevant to 3D programming. In each subsection, Baker lays out notation and defines key terms to the right, in grey boxes with brown headers.
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 Euclid Lab
This Californiabased nonprofit operates Camp Euclid, a mathematics research camp for high school students, as well as a sister program for junior and senior researchers (MRPU). See also Euclid Lab's "math blog written for all," Unsolved:, which discusses
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 EucliDraw  Kostas Pamfilos, George Nikoloudakis, and Paris Pamfilos
A program to draw plane Euclidean geometry figures. Features include an extensible toolbox, animations, Euclidean and arbitrary transformations, a catalogue of trianglecentertools, SchemeSockets to combine and generate complicated schemes and fractals,
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 Euclid's Elements  David Joyce; Dept. of Mathematics & Computer Science, Clark University
A version of Euclid's Elements created by David Joyce to rekindle an interest in the Elements and to show how java applets can be used to illustrate geometry and to bring the Elements alive. The text of all 13 Books is complete. Joyce writes: "...deductive
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 Euclid's Fourteenth Book  Ivars Peterson (MathLand)
Officials of the Foundation for Old Occidental Languages announced today that, after a year devoted to authentication and analysis, they are prepared to release the text of a manuscript that appears to be a Latin translation of research notes jotted down
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 Eugenia Cheng
Research as well as "things for nonspecialists" by a mathematician "keen to bring mathematics to a wider audience and help reduce maths phobia." Articles by the author of HigherDimensional Categories: An Illustrated Guide Book and Cakes, Custard and
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 Euklides  Peter Simon
Dynamic geometry shareware for twodimensional geometry; besides the basic elements, Euklides supports conics and point tracking (locus, cycloid). The multilayer capability ensures easy and efficient construction of drawings. The software produces precise
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 EUKLID  Roland Mechling
Dynamic geometry shareware in German and English. Create geometrical constructions on the screen just as on paper; then take a point in your drawing and drag it to another place, and the geometrical relations between all of the objects will be preserved.
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 Euler 2007
A celebration of Euler's 300th birthday in April 2007. Papers and abstracts from the various symposia and colleges are archived here, and further links to resources and web pages are offered.
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 Euler and Erdös
Blog of selfdescribed amateur research in tribute to Leonhard Euler and Paul Erdös, "muses" to an author who considers it "hard to find math blogs aimed at undergraduates." Posts, which date back to May, 2013, have included "Envelopes and Astroids,"
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 The Euler Archive
The Euler Archive is an online resource for Leonhard Euler's original works and modern Euler scholarship. The searchable database provides access to his original publications, references to available translations, and current research. Also available
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 Euler Bricks and Perfect Polyhedra  Ivars Peterson (MathTrek)
"In the October Mathematics Magazine, Blake E. Peterson of Brigham Young University in Provo, Utah, and James H. Jordan of Washington State University in Pullman draw attention to perfect boxes and polyhedra. Their starting point is the problem of finding
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 The Euler Characteristic of an Orbifold (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Suppose we have a symmetric pattern in the plane. We can make a symmetric map by subdividing the quotient orbifold into polygons, and then 'unrolling it' or 'unfolding it' to get a map in the plane...
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 Euler Function and Theorem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A description with proof, lemma, and related links.
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 Eulerian Video Magnification for Revealing Subtle Changes in the World  Wu, HaoYu; et al.
Freely downloadable Matlab code that takes standard video sequence as input, applies spatial decomposition and temporal filtering, then amplifies the resulting signal to reveal temporal variations in videos otherwise difficult or impossible to detect
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 Euler Institute for Discrete Mathematics and its Applications (EIDMA)  Henk C. A. van Tilborg, Scientific Director
EIDMA's three main areas of research are: Discrete Algebra and Geometry; Coding Theory, Information Theory and Cryptology; and Combinatorial Optimization and Algorithms, Graph Theory. Its aim is to promote and organize research programs on a large scale,
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 The Euler Line and the 9point Circle  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A geometric explanation of the Euler Line  how complex numbers give us a broader outlook on the geometric configuration  and the 9point circle of a triangle ABC, which passes through the feet of the three altitudes, the midside points of ABC, and the
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 The Euler Number (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
If we have a polyhedron, we can compute its Euler number, x=VE+F. In fact, we computed Euler numbers ad delectam. Why did we do this? One reason is that they are is easy to compute. But that is not obviously a compelling reason for doing anything in
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 The EULER Project  European Commission, Telematics for Libraries
Query a range of databases simultaneously through a single search interface. The European Libraries and Electronic Resources in Mathematical Sciences (EULER) service searches for mathematical resources such as books, preprints, Web pages, abstracts,
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 The Euler Society
The Euler Society was founded in 2002, and over the last six years has been highly successful in reinvigorating the teaching, learning, and wider understanding of Euler's role in mathematics and in the history of science. The Society continues to use
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 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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