CONTENTS
General Mathematical Resources
Puzzles, Problems-of-the-week, etc.
Factoids and Oddities
Worksheets, Example sheets
Abstract Algebra, Topology, Set Theory
Calculus
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Eric Weisstein's Mathworld (previously known as the Concise Encyclopedia of Mathematics) has (as of Aug 1, 2005) 12,325 entries (more than one myriad), hundreds of thousands of cross-references, thousands of figures, hundreds of animated graphics, and about a thousand live Java applets. |
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http://www.thesaurus.maths.org is a comprehensive math resource, with many java applets to help you visualize mathematical concepts. |
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Cut The Knot!An interactive column using Java applets by Alex Bogomolny, part of the Cut-the-knot website. |
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KöMaLA mathematical journal for high school students |
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Ask Dr. Math, http://mathforum.org/dr.math/ (Mostly K-12 math and college algebra in a Q&A format.) |
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Final
Answers on Numericana Many
basic and advanced scientific questions answered within days. Currently (on 1/26/2008), that's over 820 articles. |
Link Farms
 KABOL: Knot a Braid of Links |
"Your rough guide to math on
the web", a link farm.
KaBoL is a "cool math site of the week" service to the mathematics community provided within Camel by the Canadian Mathematical Society. |
 MAA - www.maa.org - The Mathematical Association of America |
Click "Publications",
and then look for the section called Web / Electronic. There
you'll find these MAA
Online Columns.
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according to http://www.stetson.edu/~efriedma/mathmagic/ . . . . . .
| Great Math Sites: | | Geometry Junkyard
| Integer
Sequences | Mathematician
Biographies | | Numbers With Names | Inverse Calculator | Geometric Dissections | |
| Recreational Math Sites: | | Mike Keith | Harvey
Heinz | World of
Numbers | Fibonacci
| | GIMPS | Primes | Polyforms | More Polyforms | Soup Kitchen | |
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Solvers Helpful Internet Computing Websites
Letter Puzzle Solvers
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Links to Links -- a master table of mathematical links
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Radio programs
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Help for Math students
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Graphing and solving utilities
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| Elliptic Curves | Franz Lemmermeyer's "Mother of all Elliptic Curves Resources" site. (Also, see here). |
Geometry
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| Minimum Spanning Circle | Martin: Suppose that you have a set of points in a plane
such that no point is more than a distance d from any other point. What is
the radius of the smallest circle that is guaranteed to enclose all of the
points?
Graeme: http://www.cs.brown.edu/people/tor/java/mec/ gives an efficient algorithm (using the farthest point Voronoi Diagram) for finding the minimal enclosing circle (a.k.a. minimal spanning circle, MSC). This page has a wonderful Java applet that lets you see the spanning circle in real time as you move the points around. Martin: From considering three points that form the sides of an equilateral
triangle, it follows that the radius must be a least equal to the radius
of the circumscribing circle, (sqrt(3)/3)d. Graeme: Martin, although there are points outside the equilateral
triangle whose distance from the vertices of the triangle is d, these
points are still inside the circumscribed circle. Graeme
continues: The "rounded triangle" is properly called a Reuleaux
Triangle, consisting of the vertices of an equilateral triangle together
with three arcs of circles, each circle having center at one of the
vertices and endpoints, the other two vertices.
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| Orthogonal Circles, and Inversion Geometry | From Doctor Math, Orthogonal
Circles From Mathworld, Orthogonal Circles, Inversion From Cut-the-knot, Inversion: Reflection in a Circle Paul Kunkel's Inversion Geometry |
http://www.best.com/~ii/math/ch/
http://www.ii.com/ and its mirror, http://www.best.com/~ii/
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Work Sheets, Example Sheets, Help for kids, etc.
HS Unlimited WorksheetsUniversity of Cambridge
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Some web sites that offer "distance learning
courses" are
http://www.sosmath.com/
(This one has some good tutorials on various math topics.)
http://members.home.net/jimwenk/Algebra.htm
PowerPoint presentations designed by a school teacher to help algebra students.
History of Mathematics Page. |
Mathematical Challenge Problems* Denotes a problem which has not yet been solved.
Problems from the 98-99 academic year
Problems from the 97-98 academic year
Problems from the 96-97 academic year
Problems from the 95-96 academic year
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Frequently Asked Questions in Mathematics
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?
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brokenlinkhttp://joshua.smcvt.edu/linalg.html">Linear Algebraby My text linear algebra, which is free for downloading, is described here. It covers the material of any undergraduate first linear algebra course. You can use it either as a main text, or as a supplement to another text, or for independent study. |
Courses, by Robert Sharpley
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brokenlinkhttp://www.stg.brown.edu/~rog/GS99/">
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 | The MacTutor
History of Mathematics Archives
| CRC Concise
Encyclopedia of Mathematics
| WWW Virtual
Library: Mathematics (at Florida State University)
| The Math Forum (at
Swarthmore)
| The Geometry Center (at the
University of Minnesota)
| brokenlinkhttp://www.math.uga.edu/~ntheory/gateways.html">Mainly
Mathematical Gateways (at University of Georgia)
| National
Council of Teachers of Mathematics (NCTM) Standards Page (at The
Math Forum) | |
Number Theory and Mathematical Proof Resources
| Southwest Texas State University brokenlinkhttp://www.math.swt.edu/~haz/">Donald G. Hazlewood brokenlinkhttp://www.math.swt.edu/~haz/math_sess.html">Problem Sets and Notes brokenlinkhttp://www.math.swt.edu/~haz/prob_sets/notes/notes.html">Introduction to Number Theory, by X. D. Jia brokenlinkhttp://www.math.swt.edu/~haz/prob_sets/notes/node29.html">Quadratic Residues Lecture notes for course 311 (Abstract algebra), taught at Trinity College, Dublin | Includes: Part I: Topics in Number Theory Part II: Topics in Group Theory Part III: Introduction to Galois Theory Number
Theory Resources On-Line (at the MathArchives) | brokenlinkhttp://www.math.uga.edu/~ntheory/number_theory.html">Things
of Interest to Number Theorists (at the Number Theory Web)
| Sloane's
On-Line Encyclopedia of Integer Sequences (at AT&T)
| The Prime Page
| Fifteen
Proofs of Euler's V-E+F=2 (at the Geometry
Junkyard)
| Real Analysis
(at Seton Hall) | |
Combinatorics and Probability Resources
| The
Chance Project (includes several on-line courses)
| Introduction
to Probability (at Dartmouth;;;;;;;;;;;;;;;; this site includes an good
introductory probability text and links to some wonderful applets).
| weber.u.washington.edu/~rogerrr/stat/index.html, no longer exists, was Probability
Tutorial (at the University of Washington)
| brokenlinkhttp://staff.feldberg.brandeis.edu/~petera/cchs/probability/MainPage.html">Probability
Lessons (at Brandeis)
| The Combinatorial Object
Server (parts still under construction, but very cool)
| Dictionary
of Combinatorics (Joe Fields' on-line edition)
| brokenlinkhttp://www.math.uga.edu/~andrew/Binomial/index.html">Arithmetic
properties of Binomial Coefficients (at University of Georgia --
rather advanced but very interesting) | |
| brokenlinkhttp://www.entropia.com/primenet/status.shtml">PrimeNet Server is the server that hands out assignments to people (like Graeme) who volunteer their computers to search for Mersenne Primes. You can look here to see more information, including the names of the "top producers". GraemeMcRae is usually among the 100th to 500th top producers. |
PI 3.14159265358979323846264338327950288...
Ramanujan, Modular Equations, and Approximations to Pi or How to compute One Billion Digits of Pi
http://oldweb.cecm.sfu.ca/organics/papers/borwein/paper/html/paper.html
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Astrid Andersson's pi trivia game. Learn interesting facts such as
pi/4 = 4*arctan 1/5 - arctan 239. Oops! I gave away one of the
answers -- see if you can get a perfect score now! |
 http://archives.math.utk.edu/topics/
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