- Erich's Puzzle Palace - Erich Friedman
Mathematical puzzles, with solutions, in the following categories: mirror puzzles, number puzzles, hex loop puzzles, path puzzles, battleship puzzles, triangulation puzzles, grid puzzles, cris-cross puzzles, weight puzzles, and logic puzzles. In particular,
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- e to the i pi - Kevin Bertman
Investigations for teachers to use in mathematics classes. Posts include Phantom Traffic Jams (velocities); Hypotrochoids (Spirographs); Cartograms; Rogue Waves; Fractal Trees; Stereoscopic Images; Six Degrees of Separation; Shoelaces (applying the Pythagorean
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- EuclideanSpace - Martin Baker
Introductions to algebra, geometry, calculus, discrete math, and statistics, particularly where relevant to 3D programming. In each subsection, Baker lays out notation and defines key terms to the right, in grey boxes with brown headers.
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- Euler Institute for Discrete Mathematics and its Applications (EIDMA) - Henk C. A. van Tilborg, Scientific Director
EIDMA's three main areas of research are: Discrete Algebra and Geometry; Coding Theory, Information Theory and Cryptology; and Combinatorial Optimization and Algorithms, Graph Theory. Its aim is to promote and organize research programs on a large scale,
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- Examination Papers - University of Cambridge
Download PDF and PostScript files of Cambridge's mathematical tripos examination papers from the past decade. See also the exam papers from Natural Sciences Tripos (NST) and Part III (postgraduate).
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- Farmer and Wife to Catch Rooster and Hen: Sam Loyd's Puzzle - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
An entertaining Java implementation of a puzzle by Sam Loyd. A farmer and his wife try to catch a hen and a rooster. A good exercise in taxicab geometry.
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- Four Colors Suffice: How the Map Problem Was Solved - Robin Wilson; Princeton University Press
"On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the
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- Free Online Books - PSPXWorld.com
Free books for download or viewing online, in computer science and mathematics.
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- Futility Closet - Greg Ross
"An idler's miscellany of compendious amusements." Math posts, which date back to January, 2005, have included puzzles, curios, and trivia from the lives of famous mathematicians -- all "self-contained and written as concisely as possible" -- such as
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- The Game of Nim Explained - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A Java simulation of the famous game, with a theoretical explanation and extension to other similar games: see also similar Java games: Nimble, Northcott's game, Plainim, the Scoring game, and Turning Turtles.
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- Games and Puzzles - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Almost 40 games or puzzles, with extensive discussions and solutions. Examples include the Monty Hall Dilemma, Lewis Carroll's problem; the game of Nim, the 3 glass puzzle, Northcott's game, the Tower of Hanoi, and many more. Most require a browser capable
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- Games Conceived - Leroy Quet
Quet's blog, begun in September, 2008, describes his "simple games," which include Triangle Grid Of Coprimality; Line-Segments In Circle; Turn It Around -- Multiply/Add Grid; Up And Up, Grid Solitaire; Vertex/Intersection Polygon Game; Diagonal/Straight:
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- GEM: Gateway to Educational Materials - National Library of Education (NLE)
A database for education links, intended to be more useful for teachers than a search engine. It records the resources of its consortium members (information on joining the consortium is available onsite). Users are able to: browse through lists organized
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- Geometry.Net
An online learning center offering extensive lists of links to sites with material in Basic Math; Pure and Applied Math; Computer & Internet; Technology; Biographers; Physics; Biology; and Sports.
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- Geometry Online - Cynthia Lanius
Geometry activities from a geometry class at Milby High School in Houston, Texas. Topics include: History of Geometry (contributions of Egyptians, Babylonians, and Greeks, with links to biographies of major contributors to geometry); Hidden Polygons (locate
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- Get Help With Your Math Homework - Cramster.com
Find homework solutions from text books, lecture notes, and solved exams written by college professors for their courses. Subscription fees required. Ask questions and answer other members' questions "for self practice, karma points and goodwill" on the
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- Gordon Royle's Homepage: Research - Gordon Royle
Catalogues and tables of interesting combinatorial objects: small graphs, cubic graphs, symmetric cubic graphs, vertex-transitive graphs, Cayley graphs (by group), vertex-transitive cubic graphs, cubic cages and higher valency cages, planar graphs, cubic
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- Graph Theory and Its Applications - Gross, Yellen
Pages designed to provide information about the textbook Graph Theory and Its Applications and to serve as a comprehensive graph theory resource for graph theoreticians and students. See also Graph Theory Resources, a support page maintained by Daniel
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- The Grid Game - Doug Ensley, Shippensburg University
A two-player game where the players alternate marking squares in a grid until there are none left. The first player chooses any single row or column and marks as many squares (at least one) as desired. The second player (the computer in this case) responds
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- Groups & Graphs Home Page - Bill Kocay
A software package for graphs, digraphs, combinatorial designs, and their automorphism groups. Features include automorphism group computation; graph certificate which identifies a graph uniquely up to isomorphism; Hamiltonian cycles; planarity test and
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- The Hank and Ted Game - Doug Ensley, Shippensburg University
Also known as "The Gambler's Ruin," this is a simple gambling game in which two parties flip a coin at a wager of one "marker" over and over until one of the parties is out of markers. The player who benefits from a toss of "heads" is Hank, and the other
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- Helena A. Verrill - Department of Mathematics, Louisiana State University
Notes, links, handouts, and other materials from the courses that Verrill teaches, such as Solving Discrete Problems, Calculus, Elliptic Curves, and Modular Forms. She also provides a Java applet for a wallpaper drawing program and step-by-step illustrations
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- How Many Different Paths - Karen Wheeler; SCORE Mathematics
A discrete mathematics lesson for working on addition and multiplication skills, with connections to counting, adding, multiplying, and Pascal's triangle. Aligned to the California State Standards. From the Schools of California Online Resources for Educators
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- How to Split Your Vote (Math Chat) - Frank Morgan, MAA Online
Answer to the Challenge: Suppose all that any voter in the U.S. cares about is that different parties control the Presidency and the Congress. If there is no communication, how should each voter vote?
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- Images and Mathematics (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
A large collection of images based on or related to mathematical principles, many purely mathematical abstractions, such as fractals; others of natural objects whose shape is explained by equations and mathematical models (for example, a drum vibrating).
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- Institute of Discrete Mathematics - Prof. Dr. Harald Niederreiter; Austrian Academy of Sciences
Current projects and research areas such as: Cryptology; Computer Algebra; Finite Fields and Their Applications; Global Function Fields; Quasi-Monte Carlo Methods; Construction of Low-Discrepancy Sequences; Numerical Integration; Pseudorandom Number Generation;
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- Institute of Mathematical Geography (IMaGe) - Sandra Lach Arlinghaus
Archives of SOLSTICE: An Electronic Journal of Geography and Mathematics. Chapters, notes, and book reviews dating from 1986, in variously jpg, pdf, html, or simple text formats. Sample articles include "Extension of Barr's Problem to the Set of Platonic
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- Interactive Mathematics Miscellany and Puzzles - Alexander Bogomolny
"The peculiar beauty of Mathematics lies in deduction, in the dependency of one fact upon another. The less expected a dependency is, the simpler the facts on which the deduction is based - the more beautiful is the result." This award-winning site offers
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- International Mathematical Virtual Institute - DMBL (Scientific Society of Mathematicians Banja Luka)
The International Mathematical Virtual Institute (IMVI) promotes communication, cooperation and collaboration in the Balkans, elsewhere in Europe, and worldwide on research in (pure and applied) mathematics, history and philosophy of mathematics, and
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- Internet Problem Solving Contest - Faculty of Mathematics, Physics and Informatics, Comenius University, Slovak Republic
The Internet Problem Solving Contest (IPSC) is a computer programming contest for teams consisting of up to three people. Teams participate via the Internet. Each problem consists of a problem description and two input data sets. Questions tend towards
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- An Introduction to Kolmogorov Complexity and Its Applications - Li, Vigányi
2nd edition textbook on the subject, which can be ordered through the Web. A postscript file of contents is also available. The incompressibility method and Kolmogorov complexity is a versatile mathematical tool, a sharper relative of classical information
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- Is Mathematical Teaching a Function of Time? - Andrej and Elena Cherkaev, eds.
A page of math humor, including definitions, anecdotes, math education jokes, theorems, puns, limerics, and links.
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- janko.at - Angela and Otto Janko
Puzzles, games, and Java applets on logic, number, and chess. See also the Jankos' Retrograde Analysis Corner and analyses of legal moves in chess.
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- Jim Loy's Puzzle Page - Jim Loy
This is a group of number, geometry, and logic puzzles with solutions, including "The Missing Dollar," "The Monty Hall Trap," and comments on the Tower of Hanoi.
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- Jones and Bartlett Publishers
Publisher of textbooks, professional and reference books, and multimedia products in a variety of disciplines including mathematics. Publications range from introductory to graduate level in the college market and from practitioners to specialists in
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- Joseph Malkevitch's Home Page - Joseph Malkevitch, York College (CUNY-The City University of New York)
Malkevitch's interests include geometry (polytopes, graph theory, tilings, etc.), discrete mathematics, and mathematical modeling (especially models dealing with fairness and equity issues and codes of all kinds). Most of his research concerns using combinatorial
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- The Josephus Problem - Doug Ensley, Shippensburg University
Explore the problem online, varying the number of people to start and the number to skip: participants arrange themselves in a circle. One is designated number one, and you proceed clockwise, removing e.g. every seventh person. Where should you sit to
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- Josephus Shuffles - Doug Ensley, Shippensburg University
Named for its relationship to the so-called "Josephus Problem," Josephus shuffles mix up a deck of cards in a peculiar way. This interactive page allows you to investigate the final order of the cards for various values of n and k.
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- Journal Homepages - Kluwer Academic Publishers
A search page for finding journals published by Kluwer Academic Publishers. Each includes past, present, and future article listings, aims and scope, and submission and subscription information. Search the complete catalogue by keyword or view journals
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- KAM-DIMATIA Series - Helena Nyklova, Editor
The KAM Series (Discrete Mathematics - Combinatorics - Operations Research - Optimization) serves as a prepublication medium for the scientific output of the Department of Applied Mathematics of the Faculty of Mathematics and Physics at the Charles University
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- Ke Xu's Benchmarks for Hard Problems - Ke Xu
All benchmarks are generated based on exact phase transitions of Model RB, including forced satisfiable benchmarks of SAT/CSP and benchmarks with hidden optimum solutions for 0-1 Programming and graph problems (Independent Set, Vertex Cover, Clique and
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- Knight Coverings for Large Chessboards - Frank Rubin
Knight coverings for square chessboards up to 26x26, and proofs of optimality for boards up to 10x10. The problem of how to cover a chessboard with the smallest number of knights has fascinated mathematicians and chess players for years. The problem is
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- Knot a Braid of Links (CAMEL) - Canadian Mathematical Electronic Information Services
Mathematics on the Web: a collection of mathematical Links of the Week from 1996 on, with a new one every week. Maintained by CAMEL at Simon Fraser University.
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- Koalog Constraint Solver - Yan Georget, Koalog SARL
KCS is a Java constraint solver for combinatorial optimization problems.
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- Konferenzen, Workshops, Veranstaltungen - DMV-Fachgruppe Diskrete Mathematik
Listings of discrete math workshops and conferences around the world.
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- La pagina della classificazione matematica: MSC2000 librerie H-volumi - Antonella De Robbio, Alberto Marini, Dario Maguolo
Italian version of Mathematics Subject Classification version 2000 (MSC2000); different points of views, with a comparison of MSC1991 and MSC2000. Includes a description of the project, links to relevant pages, and a preprint of "La versione Draft2000
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- Last One at the Table - Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about how to be the last one at a round table if every other person leaves; for example, "If x knights are sitting at a round table, and every other one is removed, who is the last one left sitting at the table?"
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- Learning by Simulations - Hans Lohninger, Virtual Institute of Applied Science
Simulation software for Windows PCs, available free for non-commercial educational purposes. (The author requests a postcard describing your use of his programs.) Covered math topics include: Fourier Synthesis, Travelling Salesman Problem, Vector Fields,
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- LEARNINGlover - AfterMath
Resources to understand "the interactions between mathematics, computer science and probability." JavaScript flash cards and implementations -- each with auto-scoring, randomly-generated problems, some with pseudocode -- include the a priori algorithm,
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- Lessons, Tutorials, and Lecture Notes (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
An extensive, alphabetical, annotated listing of sites providing course material for teachers and students of mathematics. Includes topics from almost every field of math, at every level: K-12, college and beyond. Algebra; Analysis; Arithmetic; Calculus;
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