Collaborative Group for Research in Mathematics Education


MATHEMATICAL MISCELLANY


I Hate Calculus The Calculus Hater's Home Page

In the summer of 1665, Isaac Newton first came up with the idea of calculus, after being hit over the head with a soft, blunt object. If it had been a hard blunt object, he may have forgotten the whole idea, and thus would have saved millions of college students from much excruciating pain and suffering. Unfortunately he didn't, and after publishing most of his findings, suffered a nervous breakdown in 1693.

This page has some good calculus links


Chaos
Chaos: A pictorial introduction. This presentation illustrates some essential features of the theory of "chaos" which has received media attention in recent years. It also tells the story of a contribution to the theory by the School of Mathematics at La Trobe University. This pictorial introduction is best viewed by a web browser that supports gif animations. The presentation was devised by John Banks. See, also, this department's Quicktime movies of surfaces. Quicktime movie viewers for Macintosh OS and Windows are downloadable via this site.


Dynamical Systems and Technology
This is a National Science Foundation sponsored project designed to help secondary school and college teachers of mathematics bring contemporary topics in mathematics (chaos, fractals, dynamics) into the classroom, and to show them how to use technology effectively in this process. At this point, there are several interactive papers available. These are designed to help teachers understand the mathematics behind such topics as iterated function systems (the chaos game) and the Mandelbrot and Julia sets.


World of Mathematics
Eric Weisstein's World of Mathematics. An incredibly thorough mathematics encyclopaedia from Eric Weisstein. Each entry includes extensive cross-referencing to related topics, as well as a bibliography.


Geometry Junkyard

These pages contain a collection of usenet clippings, web pointers, lecture notes, research excerpts, open problems, geometry papers online in non-geometric locations, and other stuff related to discrete and computational geometry. Topics: Circles and Spheres, Coloring, Combinatorial Geometry, Covering and Packing, Dissection, Fractals, Geometric Models, Geometric Topology, Hyperbolic Geometry, Knot Theory, Lattice Theory and Geometry of Numbers, Nearest Neighbors and Voronoi Diagrams, Origami, Polyhedra and Polytopes, Rectilinear Geometry, Symmetry and Group Theory, Tiling, Triangles and Simplices, Width, Diameter, and Geometric Inequalities, Planar Geometry, Three-dimensional Geometry, Many-dimensional Geometry, Open Problems, Software and Animations, Miscellanous, Recent Additions to the Junkyard.


History of Mathematics
History of Mathematics at Clark University, U.S.A.


Largest Known Primes
The Largest Known Primes. Recently computers and cryptology have given a new emphasis to search for ever larger primes--at this site there are lists of thousands of these record breaking primes, all of which have over 1,000 digits! The complete list of approximately 20,000 primes is available in several forms.


History of Mathematics ArchiveMacTutor History of Mathematics Archive, School of Mathematical and Computational Sciences University of St Andrews, St Andrews, Scotland. Contains: Biographies Index, Famous curves index (NOW WITH JAVA), History Topics Index , Birthplace Map, Mathematicians of the day, Anniversaries for the year, Chronologies.


The Mathematical Olympiads: A Chance to Stretch Your Mind. The first International Mathematics Olympiad was held in 1959 in Romania with seven countries participating. Every year since, an International Mathematics Olympiad has been held in places as far apart as Havana, Canberra and Beijing, with an ever-increasing number of teams participating.


Patterns, Programs, and Links for Conway's Game of Life . A page of odds and ends about Conway's Game of Life. The page contains descriptions of files available for ftp, links to Life resources available elsewhere on the Internet, new results and patterns not archived elsewhere, and a browsable hypertext catalog of Alan Hensel's archive of Life patterns, including a hypertext version of his Life glossary.


Polyhedral Solids

Polyhedral Solids. The study of polyhedra is one of those special areas of mathematics which allows the amateur and expert to work with an equal delight. Many of the solids displayed here are quite attractive, and the many relationships between the various solids can be quite surprising and delightful. What sorts of solids with flat sides are there? One approach (and the one taken here) is to answer this question using the most restrictive constraints. This yields the Platonic Solids. Once this is done we can relax the constraints in various ways to see where they lead. Several of the paths are followed in the sections offered.


UL fractal
The UL fractal. There are many popular texts dealing with some well known fractals, but how does one go about designing a fractal which looks close to some given image? This will show you how to design a fractal based on any set of initials.


Polyhedra

 

Virtual Polyhedra
by George W. Hart, Department of Computer Science, Hofstra University. This site is a self-contained easy-to-explore elementary tutorial, reference work, and object library for people interested in polyhedra. You may choose to simply view the virtual objects for their aesthetic value, or to read the related mathematical background material at various levels of depth.


Women Mathematicians
Women Mathematicians. Biographies of Women Mathematicians - part of an on-going project by students in mathematics classes at Agnes Scott College, U.S.A., to illustrate the numerous achievements of women in the field of mathematics.


 

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