Platonic Realms -- Home Page I have to admit, I'm an unreconstructed Platonist myself, so this site intrigued me by name alone. It has more to offer than just a nice name though. Math World is a huge reference web site with summary info on most mathematical topics. It evolved from "Eric's Treasure Trove of Mathematics", an impressive compendium of mathematical information that was published by CRC Press as a sort of math encyclopedia (more info here if you're interest). A simple web page for access to Eric Weisstein's main (and fascinating) encylopedic endeavors is here. Math Forum (Drexel College) (Formerly known as the "Geometry Forum", and hosted by Swarthmore College.) A well-organized site full of resources for students, teachers, and the general "mathphile". Topics vary over a large range and span elementary to advanced treatments. A good place to start browsing for math content on the web. Mathematics Achives (U. Tenn.) A well-organized site with voluminous coverage of the whole range of mathematics. POP Mathematics (U. Tenn) An annotated selection of links intended to pique your interest in math. Check out the games and puzzles near the bottom of the page. Mathematical Web Sites (Bellevue CC!) A very nice site organized by math teacher Larry Curnutt of Bellevue Community College. Lots of good content and links of interest to community college math students. The Geometry Center (U. Minn.) Even though this site is now officially defunct, it still has a fair amount of good content for assorted geometry related topics. Check out the "interactive" programs.
Math Link Compilations
The websites below provide lists of math-related links:
Math Internet Collection (Geometry Forum) Mathematics Information Servers (U. Penn) Topics in Mathematics (Mathematics Archives) Institutes and Centers (Mathematics Archives) Mathematics on the Web (AMS) Mathematics by Topics (AMS)
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History of Mathematics
- MacTutor History of Mathematics A large and impressively complete collection of biographies of mathematicians, as well as surveys of the historical development of various branches of mathematics. And (as if all that weren't enough) this site also provides a survey of a large collection of "plane curves", both from a historical perspective, and an (interactive) geometric perspective. Overall, a very well-organized, informative, and high quality site from St. Andrew's College in the U.K.
- Mathographies Another collection of interesting and well-written biographies of "math folks", many comtemporary.
- Mathematical Quotation Server Sagely, erudite statements from mathematical luminaries.
- The Prime Page Lot's of interesting material on prime numbers (you may be surprised how deeply one can dig!). Most items here begin at a relatively elementary level and gradually(?) advance.
- Mathematics and Knots Exhibition A nice, accessible introduction to mathematical knot theory. Also features links to some interesting mathematical sculpture.
- The KnotPlot Site A site with lots of very nice knot graphics and related material
- Knots on the Web (Peter Suber) A good compendium of knot related links, including a number of relatively accessible introductions. Knot Theory is a fascinating and thriving subject area within modern mathematics.
- Some Interactive Articles on Fractals By Robert Devaney (of Boston U.). A good writer who's done a lot to promote a clear and accurate understanding of the beautiful mathematics of "Chaotic Dynamical Systems".
- "Leap" A nice Java applet in the form of a geometric game which explores aspects of "self-similarity".
- Fractalina A Java applet that allows you to construct simple "Iterated Function System" fractals.
- The Fractal Microscope Introductory page for an interactive site that allows you to zoom in and view portions of the infinitely intricate structure of the Mandelbrot set, Julia Sets, and related items.
- Fractals: Frequently Asked Questions No pretty pictures here, just the FAQs. Answers are relatively brief and at times technical, but this fractal page has the admirable distinction of having a high degree of accuracy, which unfortunately is not the case for many of the typically effervescent, overly aggrandized "fractals are the key to everything" sites which (however well-intentioned) often propagate misinformation, which when iterated link after link generates a genuine "chaos" of misunderstanding and malarky in the popular discourse. :)
Tesselations (or Geometric "Tilings")
- Kali An interactive "tiling" program, fills the plane with nonoverlapping "tiles". Explore some of the interesting geometry of this ancient artform.
- QuasiTiler The renowned British mathematician Roger Penrose came up with a new way to "tile" the plane in a "nonperiodic" fashion. Explore the intriguing patterns at this interactive site.
- Catalog of Isohedral Tilings by Symmetric Polygonal Tiles Entry page for a site with fascinating interactive families of polygonal tesselations of the plane. Click and drag a point to see how the tesselations dynamically "deform".
- The 17 Wallpaper Groups This page explore the 17 possible "symmetry groups" which can be used to contruct tilings of the Euclidean plane.
- Tesselation Resources A page with some general information about tesselations and links to software, and an extensive bibliography.
Other (to be better classified later :)
Topology Games Some fun interactive games exploring the geometry and topology of the torus and the klein bottle. Math art gallery Some pretty pictures. Alan Sokal: Articles on the "Social Text" Affair In which a physicist pulls a scholarly flim-flam on an elite group of pseudo-intellectual buzzword enamored academics. Quite entertaining...in an esoteric kinda way.
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Sites of Special Interest to CCSF Math Students
How to Succeed in a Math Class Wise advise and tips from a veteran community college teacher on how to learn a lot and do well in your math classes! Math Anxiety A very good discussion of "math anxiety": what it is, and how you can deal with it in a constructive way. (This web page is a bit long and takes a while to load. But it does make a lot of good (important!) points and provides many helpful suggestions. If you think it will benefit you, give it a read!) Infinity An interesting page exploring some of the mysterious paradoxes associated with the notion of infinity.
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- The MAA Homepage (Mathematical Association of America) Emphasis here is on scholarship and teaching in collegiate mathematics.
- AMS "e-MATH" Home Page (American Mathematical Society) The major research-oriented Mathematics organization in the U.S.
- AMATYC Home Page The American Mathematics Association of Two-Year Colleges.
- CMC3 HOME PAGE California Mathematics Consortium-Community Colleges.
- Welcome to NCTM The National Council of Teachers of Mathematics.
- Mathematical Sciences Research Institute Research center located above Lawrence Hall of Science in Berkeley.
- Berkeley Seminars Schedule of weekly graduate/research level math talks at UC Berkeley.
- Mathematics Archives - Institutes and Centers Listings of Math Institutes and Centers maintained at the "Mathematics Archives" website of the University of Tennessee at Knoxville.