 Expressionism  Aleksey Onopriyenko, MathDonalds.com
A WYSIWYG browserbased editor (MathML + JavaScript) of mathematical expressions which is also capable of rendering images (e.g. in PNG format).
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 EXTEND: Perspectives on Mathematics Education  Exxon Education Foundation
EXTEND is a national Internet forum on mathematics education intended to involve new constituencies, engage new voices, and examine new perspectives. Major topics are explored through forum reports, position papers, and reader commentary. Issues include
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 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.
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 Extreme Optimization: Numerical Linear Algebra Library for C# and VB.NET  Jeffrey Sax, Extreme Optimization
Objectoriented classes for linear algebra and a broad range of numerical techniques for the Microsoft .NET framework. Topics covered: solving equations, mathematical curves, approximation, numerical integration and differentiation, complex numbers.
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 Extreme Optimization Statistics Library for .NET  Jeffrey Sax, ExoAnalytics Inc.
The Extreme Optimization Statistics Library for .NET includes classes for over 20 probability distributions, random number generation, hypothesis tests, and a range of statistical models, including multiple linear regression and analysis of variance (ANOVA).
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 The Extreme Science and Engineering Discovery Environment
Supercomputers, collections of data, new tools, and other integrated advanced digital resources and services for scientific research. See, in particular, the Education and Outreach Service of the Extreme Science and Engineering Discovery Environment (XSEDE),
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 Eye Opener Series  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of Java applets that illustrate and thus help to solve or prove various math problems: Euclid's Proof of the Pythagorean Theorem; Construction problem; Disappearing Lines puzzle; Sam Loyd's fifteen; Sliders puzzle; Lucky 7 puzzle; Happy 8
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 EZ Learning Solutions
EZ Learning Solutions Study Guides are part of a family of study aids designed with a "backtobasics" approach in mind. They are intended for use by students, parents, or teachers, and should be especially useful for the new math curriculum in Ontario.
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 EZW Encoding  C. Valens
An embedded zerotree wavelet (EZW) tutorial. Contents: Introduction; EZW encoding; The zerotree; How does it work?; The algorithm; Example; Coda; Notes; References. By the author of A Really Friendly Guide to Wavelets.
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 Faces of Mathematics  Marc Atkins, Nick Gilbert; HeriotWatt University, Edinburgh
Portraits of twenty living influential mathematicians, each with a textbased display panel on the subject's research interests and personal viewpoint on mathematics and a video of the subject in conversation about their research and other mathematical
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 Faceted Objects: Tanks to Teapots  Paul Flavin
A "Tiny Library of Faceted Surfaces." Cube, Venus de Milo Statue, Utah Teapot, M1 Tank, Ludwig Beethoven, magna Girl. For each object the format, number of vertices, number of facets, geometry (shape), bytes, and filename are listed.
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 Factasia: Mathematics  Roger Bishop Jones
Math essays organized into three categories: general (threads in the web of mathematics and reuse and abstraction); real numbers (a logical development, some history, and computing with reals); and history (a short history of rigour in mathematics, classical
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 Factoids  Susan Stepney
An "uneven collection of facts, quotations, and other miscellaneous scraps, that don't naturally fit anywhere else," listed alphabetically from abstract data type to zeldagon and zeugma, including figures of speech, inheritance (in classes), laws, prime
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 Factorization using the Elliptic Curve Method  Dario Alejandro Alpern
A Java applet that factors numbers up to 1000 digits long, outputting their number of divisors, sum of divisors, Euler's totient, Moebius number, and sum of squares. Also accepts numerical expressions.
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 Factors of 1000 numbers starting from googolplex  Dario Alejandro Alpern
Known prime factors of numbers in the range 10^(10^100) to 10^(10^100)+999.
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 FA Functional Analysis (Front for the Mathematics ArXiv)  Univ. of California, Davis
Functional Analysis 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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 Fagnano's Problem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An interactive discussion of H. A. Schwarz's and L. Fejér's solutions to Fagnano's problem: inscribe in a given acuteangle triangle the triangle of a minimum perimeter.
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 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
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 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).
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 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,
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 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
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 FAME (Fractal Art Museum Enterprise)  Joseph Trotsky, Director
A display of fractals by hundreds of artists. The site hosts permanent expositions, along with thematic and periodic exhibitions, annual contests, papers on fractal theory, software and tutorials for making fractals, and more.
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 Families of Conics  L. J. Dickey, U. of Waterloo
Seven Cabri Geometry II figures illustrating families of conics associated with the configurations of Pappus and Pascal.
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 Family Finance  Utah State University Family Finance
PowerPoint presentations for selfguided 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
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 Famous Curves Applet Index  MacTutor Math History Archive
From Astroid, Cardiod, Catenary, and Cayley's Sextic to the Trisectrix of Maclaurin, Tschirnhaus' Cubic, Watt's Curve, the Witch of Agnesi  and many more  click on the name of a curve to experiment with some of its associated curves.
(Your browser
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 Famous Curves Index  MacTutor Math History Archive
Links to pages illustrating more than 60 mathematical curves, with information on their history and associated curves. Anyone with the Mathematical MacTutor system or a Javaenabled browser can investigate these curves and their associated curves interactively.
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 Famous Equations and Inequalities  Peter Alfeld, University of Utah
An idiosyncratic and personal selection of particularly important or particularly intriguing mathematical equations, not all of them complicated. Mathematical Constants; The definition of Pi; The definition of e; A differential equation; The Pythagorean
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 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.
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 Famous Mathematicians
Biographies of Ada Lovelace, Al Khwarizmi, Alan Turing, Albert Einstein, Alexandre Grothendieck, Alfred North Whitehead, Andrew Wiles, Archimedes, Aryabhata, Bernhard Riemann, Bertrand Russell, Blaise Pascal, Brahmagupta, Carl Friedrich Gauss, Charles
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 Famous Paradoxes  Isaac Reed
Zeno's Paradox and Cantor's Infinities.
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 Famous Problems in the History of Mathematics  Isaac Reed
History of mathematics presented through some famous problems, with exercises and solutions. The problems include The Bridges of Königsburg; The Value of Pi; Puzzling Primes; Famous Paradoxes; The Problem of Points; A Proof of the Pythagorean Theorem;
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 Fantastic Fractals  ThinkQuest 1997
All about fractals: including: fully interactive fractal tutorials, a gallery, landscapes, music, a reference desk and types of fractals, downloads, a fractal workshop (build your own fractals), a fractal challenge (test yourself  how much have you learned
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 Fantasy Stock Market Game  Young Money Magazine
Students invest $10,000 in "fantasy" cash and compete against other students to build an investing portfolio. Game is free with free web site signup, contests run for 30 days and for each period an investor starter kit is awarded to the top player, plus
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 A farewell to chaos: Mandelbrot's fractal dimensions...  Christian Ricordeau
Where is the order of deterministic chaos hiding? About decimal numbers and the 4th dimension  a conception of decimal numbers that shows the birth of a new dimension in a natural phenomenon, and the inevitable and simultaneous surge of chaos. Here Mandelbrot
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 Fascinating Flat Facts about Phi  Ron Knott
Phi and twodimensional geometry  constructing the golden section: phi, Phi; Phi and the root5 rectangle; the shape of a piece of paper; Phi and the pentagon triangles; Penrose tilings; a rectangle/triangle dissection problem; the Golden Spiral; trigonometry
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 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
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 FastFig  FigLabs, Inc.
Makers of free apps for evaluating, formatting, editing, and sharing math on any Internetconnected device.
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 Fast IndustrialStrength Triangulation (FIST)  Martin Held; Institute of Computer Science, University of Salzburg
FIST is code for fast industrialstrength triangulation based on repeatedly clipping the ears of a polygon. The algorithm was implemented in ANSI C, based on floatingpoint arithmetic. Geometric hashing is used in order to speed up the
earclipping process
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 Fast Marching Methods and Level Set Methods  J. A. Sethian, University of CaliforniaBerkeley
Fast Marching Methods and Level Set Methods are numerical techniques that can follow the evolution of interfaces. These interfaces can develop sharp corners, break apart, and merge together. The techniques have a wide range of applications, including
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 Fathom and Tinkerplots  Math Forum
A discussion group to foster communication within the Fathom and Tinkerplots user community. Topics appropriate for discussion include how to use Fathom and Tinkerplots effectively in teaching mathematics, statistics, and data analysis; problems (both
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 The FBI Fingerprint Compression Standard  Chris Brislawn
A summary, with examples, of the Federal Bureau of Investigation's image coding standard for digitized fingerprints, developed and maintained by the FBI, Los Alamos National Lab, and the National Institute for Standards and Technology. The standard is
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 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.
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 Federal Geographic Data Committee (FGDC)  Federal Geographic Data Committee (FGDC)
An interagency committee that promotes the coordinated use, sharing, and dissemination of geospatial data on a national basis. Search for data in the National Spatial Data Clearinghouse; browse related information in registered Clearinghouse Websites,
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 The Feigenbaum Fractal  Havard Berland
A natural (but unfinished) starting point for anyone wanting to know more about the Feigenbaum fractal, both beginners and experienced mathematicians. With explanations of iterations in general, information about the fractal, and some general information
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 Feigenbaum's Constant  Anders Skovsted Buch
A picture showing a fraction of the Feigenbaum tree.
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 Felix Klein's Geometric Abstraction by Groups  Bill Hammel
Some notes on a most general definition of "geometry," first elucidated by Felix Klein, which is based on a set of geometric invariants under a group of transformations.
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 FElt (Finite ELemenT)
A free system for finite element analysis; this site provides an overview of some of its features. Contents: general overview of the FElt system components; example problems that demonstrate what kinds of problems FElt can solve, how FElt can help you
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 Fermat and His Method of Infinite Descent  Jamie Bailey, Brian Oberg
The basic method of the infinite descent is as follows: Assume one wants to prove no solution exists with a certain property. First, assume a positive integer, x, posseses such a property. Next, deduce that there exists some positive integer y < x
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 Fermat Computer Algebra System  Robert H. Lewis
Fermat is a computer algebra system that does graphing, and symbolic and numerical calculations. Fast and economical of space, the main version is oriented toward polynomial and matrix algebra over the rationals and finite fields; Smith normal form; polynomial
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 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. Threedimensional mathematical depictions are used in the beginning of the film to illustrate the meaning of the mathematical
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