 Topological Space: Definition and Basic Theorems  Michal Wojcik
This page contains the definitions of the following concepts: topological space, open set, closed set, interior, closure. Contains the most basic theorems about these concepts together with an easytoread proof which is slightly informal in some places.
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 Topology and Geometry Software: Fun and Games  Jeff Weeks
Fun math toys for all ages, from the author of Exploring the Shape of Space (grades 610) and The Shape of Space (grades 1216). Applets and software for various platforms. Play with tictactoe, mazes, and the like, on a torus or Klein bottle. Draw
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 Topology (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Topology is the theory of shapes that are allowed to stretch, compress, flex and bend, but without tearing or gluing. For example, a square is topologically equivalent to a circle, since a square can be continously deformed into a circle. As another example,
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 Topology (Graphics Archive, Special Topics)  The Geometry Center
Properties of objects that don't change when they are stretched or twisted (Klein bottle, Moebius band).
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 The Topology of Chaos: Alice in Stretch and Squeezeland  Robert Gilmore, Marc Lefranc
Web site around the book The Topology of Chaos: Alice in Stretch and Squeezeland, which is devoted to topological analysis, a relatively new technique for extracting from chaotic data the topological signatures that determine the stretching and squeezing
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 Untangling the Mathematics of Knots (MegaMath)  Nancy Casey; Los Alamos National Laboratory
Fundamentals of knot theory for a wide range of levels  a variety of activities for exploring knots made from pieces of rope. Students can make and verify observations about knots, classify them, combine them, and find ways to determine if two knots
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 Video Lectures in Mathematics  Jerry Farlow
An online pinboard gathering thousands of visual links to a broad range of math videos. Categories include applications of math; famous mathematicians; math education; math humor; math on TV, movies; STEM math initiatives; and "instructional: K12." Farlow
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 The Virtual Mathematics Center  Martindale's Graduate & Undergraduate Center
Preprints and online journals from a wide variety of math and science organizations; Online math dictionaries and encylopedias; mathematics courses, tutorials and databases; courses by subject; related mathematics information and databases.
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 Virtual University (VU)  Stephan Nicolas
Math lessons: Introduction to Topology; Arithmetic; Introduction to Probability; Mathematical Approach to Probability; Random Variables, Expected Value, Variance.
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 Visualizing Math
Tumblr of mathematical images begun June, 2013, by two high school students from Minnesota. Images have included "A panorama on a Möbius strip," "Fractal Trees by Robert Fathauer," "elegantly constructed proofs through visual inspection," "animation
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 What kind of math? Photo Challenge  Kathryn Mann
Pictures of math graduate students with wordbubbles showing "the kind of math that's right" for them. Submit your own group snapshots and subfields. Inspired by an observation that a flyer from the American Mathematical Society (AMS) reinforced sexist
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 Whistler Alley Mathematics  Paul Kunkel
Kunkel's Geometer's Sketchpad lessons convey a conceptual understanding, usually without rigorous proof, with questions and suggestions for extensions: Buffon's Needle (an old probability exercise); Chinese Handcuffs (questions with applications for geometry,
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 Who's Counting  John Allen Paulos
Columns by Prof. John Allen Paulos, the author of Innumeracy, Mathematician Reads a Newspaper, and other popular books. Humorous and enjoyable articles by a keen observer of the world around him whose mind has been sharpened by mathematical practice.
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 The Wolfram Demonstrations Project  Wolfram Research, Inc.
A web collection of freely available demonstrations in math, science, and many other areas. Interact with the demonstrations directly in your browser. Each Demonstration contains a set of related links to sites such as MathWorld, The Wolfram Functions
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 Wolfram Research in Precollege Education  Wolfram Research
"In the Classroom" highlights how some schools and organizations use Mathematica extensively in their curricula. The section on "Collaborative Initiatives" illustrates how businesses have teamed up with Wolfram Research to sponsor handson workshops,
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 www.MAZES.com  John Knoderer, The MazeMan
Mazes in a variety of shapes and topics, with other mathematical puzzles as well. Mazes: Message, Shape, Pizza, Movie Madness, Hidden Picture Octomazes, Satellite (Circular) Mazes, Hexagonal, Mathematics Mazes. Puzzles: Magic and perfect squares, Number
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 Yahoo! Science: Mathematics  Yahoo! Inc.
All the best on the Web in math including Indices, alphabetically listed by category: Academic Papers; Algebra; Applied Mathematics; Books; Calculus; Chaos; Combinatorics; Complex Systems; Conferences; Education; Employment; Entropy; Equations; Ethnomathematics;
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 Yuri Matiyasevich
Yuri Matiyasevich is best known for finding a negative solution to Hilbert's Tenth Problem, which has applications to the theory of algorithms, algebra, number theory, model theory, proof theory, and theoretical computer science. As well as information
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 Zentralblatt MATH Database  SpringerVerlag
A database edited by the European Mathematical Society, the FIZ Karlsruhe, and the Heidelberg Academy of Sciences, and established in cooperation with Math Doc Cell (France). Search for abstracts of papers on any math subject by author, title, classification,
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