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  All Sites - 1953 items found, showing 501 to 550

  1. Eugenia Cheng
    Research as well as "things for non-specialists" by a mathematician "keen to bring mathematics to a wider audience and help reduce maths phobia." Articles by the author of Higher-Dimensional Categories: An Illustrated Guide Book and Cakes, Custard and ...more>>

  2. 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 ...more>>

  3. Euler Function and Theorem - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
    A description with proof, lemma, and related links. ...more>>

  4. EurekAlert! --Science Reporting for Kids - American Association for the Advancement of Science (AAAS)
    A central, online source for kid-friendly news and resources. This Portal for kids is housed within EurekAlert!, the editorially independent, online news service operated by AAAS, the science society. The Portal is available to reporters and editors who ...more>>

  5. 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. ...more>>

  6. 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 ...more>>

  7. Evaluating Long-Term Student Effects and Teacher Inservice Needs for Dissemination of the Interactive Mathematics Program (IMP) - Norman Webb
    Abstract of a report to the NSF by Norman Webb. The IMP curriculum integrates the four years of mathematics traditionally presented as separate courses in algebra, geometry, trigonometry, and precalculus, and exposes students to concepts derived from ...more>>

  8. 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. ...more>>

  9. Evolution of Arabic (Roman) Numerals from India - B. B. Vishnu
    A description of the development of our number signs, from India throughout the rest of the world, with highlights of how mathematics was helped and hindered by concepts of numbers. From Mathematics and the Spiritual Dimension. ...more>>

  10. The Evolution of the Real Numbers - Lawrence Spector
    An introduction to real numbers, including such topics as: the ratio of natural numbers; continuous versus discrete; fractions; unit fractions; rational numbers; measurement: geometry and arithmetic; common measure; squares and their sides; incommensurable ...more>>

  11. E-World - 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; ...more>>

  12. Examining How Mathematics is Used in the Workplace - Annie and John Selden; Mathematical Association of America
    Abstracts of studies on how much mathematics is used in various occupations: Mathematics in Automobile Production; Proportional Reasoning by Nurses; Modeling the Mathematics of Banking; Mathematical Models as Seen by Biologists; How do Scientists Interpret ...more>>

  13. 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 ...more>>

  14. Expectations of Mathematics Education - EXTEND - Perspectives on Mathematics Education
    Links to articles about society's conflicting expectations for the goals (ends) and pedagogy (means) of school mathematics. Concerns about the relation of skills to understanding, about connections with other disciplines, and about preparation for employment. ...more>>

  15. 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 ...more>>

  16. ExploreLearning.com - ExploreLearning
    A library of virtual manipulatives called "Gizmos", primarily for grades 3-12, in math and science. Math topics include the major strands of instruction according to national standards, as well as developmental math, college algebra and college-level ...more>>

  17. Exploring Hyperspace with the Geometric Product - Thomas S. Briggs
    This paper presents an area of higher-dimensional 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, ...more>>

  18. Expository Papers from the Geometry Center
    Documents written at the Geometry Center that take advantage of hypertext to present information about mathematics or the Geometry Center in a style accessible to a wide audience. Engineering Education at the Geometry Center (Keynes, Wicklin); Outside ...more>>

  19. Extended Concurrencies of a Triangle - Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
    An exploration: take any triangle ABC. Construct equilateral triangles externally on each side and locate the center of each equilateral triangle. Label these centers A', B', and C' for the triangle centers opposite angles A, B, and C. Construct lines ...more>>

  20. Extended Finite Element Methods, Level Set Methods and Meshless Methods in Computational Mechanics - Stéphane Bordas
    Describes my research in computational mechanics, geomechanics, fracture mechanics, meshless and extended finite element methods, plasticity, and aerospace castings. ...more>>

  21. Extracts from Thomas Hirst's diary - MacTutor Math History Archives
    Quotations from Thomas Hirst's journals concerning the following mathematicians: Bertrand, Boole, Brioschi, Cayley, Chasles, Chebyshev, Cremona, De Morgan, Dirichlet, Gauss, Kovalevskaya, Liouville, Maxwell, Poinsot, and Steiner. ...more>>

  22. A Fair Deal For Housemates - Ivars Peterson (MathTrek)
    Four friends move into a house and find they must choose among four rooms of different size and quality. Instead of sharing the rent equally, they decide to divide the total so that each person ends up satisfied with his or her combination of room and ...more>>

  23. The Fair Division Calculator - Francis Su
    An interactive Java applet designed to help you determine how to divide among n people: a desirable object (such as a cake); an undesirable object (such as a set of chores); or a set of indivisible objects (rooms, desirable) with payments (rent, undesirable). ...more>>

  24. Fair Play and Dreidel - Ivars Peterson (MathLand)
    For centuries, Jews have played the game of dreidel as part of the festivities associated with Hanukkah. Surprisingly, it turns out that this ancient game is also an unfair game. In 1976, Robert Feinerman of Herbert H. Lehman College (CUNY) in Bronx, ...more>>

  25. Fair Shares (MatheMUSEments!) - Ivars Peterson (Math Muse for Kids)
    The birthday party is over, and one chunk of thickly frosted, richly decorated cake is uneaten. Your mother insists that you and your sister slice the cake into two equal pieces, so that she doesn't have to listen to you fight over which is bigger. What ...more>>

  26. The Fall and Rise of Standards-Based Education - Marzano, Kendall; Mid-continent Regional Educational Laboratory (McREL)
    A National Association of State Boards of Education (NASBE) Issues in Brief. A brief historical overview that puts the standards movement in the context of recent education reform efforts and surveys some of the problems that have arisen in the development ...more>>

  27. FamilyEducation Network
    Articles, discussion groups, professional advice, suggestions, and other resources for children of preschool and younger, elementary school, middle school, and high school and beyond. Resources topics include activities, health and safety, homework help, ...more>>

  28. Family Finance - Utah State University Family Finance
    PowerPoint presentations for self-guided study: financial attitudes, values & goals; budgeting; creating your financial information binder; and how to budget your money. Other resources from the Utah State University Cooperative Extension agency include ...more>>

  29. The Family Photo and Counting on One Hand (Math Chat) - Frank Morgan; Christian Science Monitor
    From Norman Goodwin: A photographer wants to line up the 11 members of the Goodwin family from shortest to tallest (left to right), starting with anyone, adding someone else on either side, and continuing by always adding someone next to those already ...more>>

  30. A Famous Infinite Series - Paul Trow
    Explains how the 18th century mathematician Leonhard Euler found the infinite sum of the reciprocals of the square integers. ...more>>

  31. FanGraphs
    Major and minor league baseball statistics and analysis, including graphs, splits, game logs, play logs, spray charts, plate discipline, PITCHf/x, strike zone heat maps, and more for every ballplayer and team. ...more>>

  32. Fashioning a World Brain - Ivars Peterson (MathLand)
    When Peterson read about a revolutionary means of storing and distributing information, he couldn't help thinking about the current explosion of activity in electronic publishing, the Internet, and the World Wide Web. But the words were actually written ...more>>

  33. Feature Column: Monthly Essays on Mathematical Topics - American Mathematical Society (AMS)
    Feature columns on new discoveries or interesting connections in mathematics, by David Austin, Bill Casselman, Joe Malkevitch, Tony Phillips, and Steven Weintraub. ...more>>

  34. Federal Statistical Office Germany
    The statistics department of the German government. Press releases; socio-economic data, with brief articles and key statistics; tables of recent economic figures; population data for other countries; the purchasing power of the deutschemark. Methodological ...more>>

  35. The Feeling of Power - Isaac Asimov
    Science fiction that explores a time when only computers know how to multiply. "...seven times three is twenty-one." "And how do you know that?" asked the congressman. "I just remember it. It's always twenty-one on the computer. I've checked it any number ...more>>

  36. Fermat Project Description - Hanson, Kaplan, Heng; Center for Innovative Computer Applications (CICA)
    Images, movies, videos, publications, presentations. An animation presents a popularized introduction to Fermat's Last Theorem. Three-dimensional mathematical depictions are used in the beginning of the film to illustrate the meaning of the mathematical ...more>>

  37. Fermat's Last Theorem - MacTutor Math History Archives
    Essay describing Fermat's theorem with links to mathematicians such as Sophie Germain, Legendre, Dirichlet, Shimura and Taniyama, etc., from its inception through Andrew Wiles' proof, with another web site and 17 references (books/articles). ...more>>

  38. Fermat's Little Theorem - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
    A description with proof involving modular arithmetic, and related links. ...more>>

  39. A Few Aspects of Cryptology - David Hamer
    Read about cipher machines such as Enigma, Geheimschreiber, NEMA, SIGABA and others; visit the gallery showrooms of the Crypto Simulation Group (CSG), a group of historians and researchers in the field of cryptology; download sample simulators and published ...more>>

  40. Fibonacci at Random - Ivars Peterson - Science News Online
    In a book completed in 1202, mathematician Leonardo of Pisa (also known as Fibonacci) posed the following problem: How many pairs of rabbits will be produced in a year, beginning with a single pair, if every month each pair bears a new pair that becomes ...more>>

  41. Fibonacci Numbers and the Pascal Triangle - Radoslav Jovanovic
    Brief articles about Pascal's triangle, Fibonacci numbers, Lucas numbers, and the golden section, including the relations between Fibonacci numbers and Pascal's triangle, and Fibonacci numbers and the golden section. In English, German, or Serbian. ...more>>

  42. Fibonacci's Chinese Calendar - Ivars Peterson (MathTrek)
    In a book completed in 1202, mathematician Leonardo of Pisa (Fibonacci) posed the problem: How many pairs of rabbits will be produced in a year, beginning with a single pair, if every month each pair bears a new pair that becomes productive from the second ...more>>

  43. A Field Guide to the Orbifolds (Geometry and the Imagination) - Conway, Doyle, Gilman, Thurston; The Geometry Center
    Tongue-in-cheek hints for learning how to classify the 17 types of symmetry patterns in the Euclidean plane. "...information presented in this section has been gleaned from a cryptic manuscript discovered among the personal papers of John Conway after ...more>>

  44. The Fifth Taxicab Number is 48988659276962496 - David W. Wilson
    An article on the search for the smallest integer that can be expressed as a sum of two positive cubes in 5 distinct ways, up to order of summands. The nth taxicab number is the least number which can be expressed as a sum of two positive cubes in n distinct ...more>>

  45. Financial Noise - Ivars Peterson (MathTrek)
    The conventional view of stock markets and their behavior is that the price of a stock reflects all the information available on that stock. In this model, any variations in price would correspond to the arrival of new information. Some of that information ...more>>

  46. Finding Common Ground in K-12 Mathematics Education - Mathematical Association of America
    "Starting point" documents, designed to advance the discourse about how to improve K-12 mathematics teaching and learning, that emerged from MAA-convened pilot meetings between mathematicians and mathematics educators thought to be strongly aligned with ...more>>

  47. Finding the Center of a Circular Starting Line in an Ancient Greek Stadium - Rorres, Romano; SIAM Review
    A 1997 essay by Chris Rorres and David Gilman Romano, which presents and compares two methods for finding the center and radius of a circular starting line of a racetrack in an ancient Greek stadium. Graphs and tables are included. Introduction, Three-Points ...more>>

  48. The Finite Element Circus - Richard S. Falk, Rutgers University
    A regular conference devoted to the theory and applications of the finite element method, and related areas of numerical analysis and partial differential equations. Dates and locations, talks and poems, and a mailing list. ...more>>

  49. Finite Element Mesh Generation - Robert Schneiders
    Mesh generation is an interdisciplinary area within numerical analysis that includes mathematicians, computer scientists, and engineers from many disciplines. This page is intended to build a bridge between theory and applications. People and research ...more>>

  50. First Digits - Ivars Peterson (MathTrek)
    Take a look at a newspaper page listing stock market prices. You might think that each of the numbers from 1 to 9 would occur equally often among the first digits of all the listed prices. Instead, however, you're very likely to find that numbers starting ...more>>

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