 Electric Currents in Infinite Networks [PDF]  Peter G. Doyle
Networks as Riemann surfaces. A paper that shows how to get a more complete theory of conduction in infinite networks by paralleling the welldeveloped theory of conduction on open Riemann surfaces. PostScript and source file are available from Doyle's
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 Electronic Journal of Combinatorics  McKay, Wilf, Eds.
A refereed allelectronic journal that welcomes papers in all branches of discrete mathematics, including all kinds of combinatorics, graph theory, discrete algorithms, etc. See also The Electronic Journal of Combinatorics and The World Combinatorics
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 Elementary Computer Mathematics  Kenneth R. Koehler
An introduction to the mathematics used in the design of computer and network hardware and software. This hypertextbook's goal is to prepare the student for further coursework in such areas as hardware architecture, operating systems internals, application
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 Elsevier Science
"Information Provider to the World." Elsevier's mission is "to advance science, technology and medical science by fulfilling, on a sound commercial basis, the communication needs specific to the international community of scientists, engineers and associated
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 Emaths.Info  Vinod Sebastian
Math tools, formulas, tutorials, videos, tables, and "curios," such as the unusual properties of 153, 1729, and 2519. See in particular Emaths' interactive games, which include the N queens problem, Towers of Hanoi, and partition magic, which finds a
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 The Encyclopedia of Mathematics  Ulf Rehmann, EditorinChief
With articles originally from Kluwer Academic Publishers' online Encyclopaedia of Mathematics (EoM), this uptodate, graduatelevel, openaccess math reference wiki boasts more than 8,000 entries on over 50,000 notions in the subject. Contribute to topics
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 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, criscross 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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 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 historyone 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 "selfcontained 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; LineSegments 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, vertextransitive graphs, Cayley graphs (by group), vertextransitive cubic graphs, cubic cages and higher valency cages, planar graphs, cubic
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 Got Math?  Dave Radcliffe
Blog by a community college math instructor and selfdescribed "GeoGebra fanatic." Posts, which date back to December, 2010, have included "Stacking cannonballs," "Counting with Integrals," "A Paradoxical Dissection," "Gelfand's Question," "Imagining
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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 twoplayer 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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 hakank's homepage  Håkan Kjellerstrand
Codes and notes for constraint programming languages such as Picat, Mathematica, AIMMS+CP, AMPL, Project Euler, Frink, SABR, Eureqa/Formulize, and Comet. See also Kjellerstrand's coin and dice tossing games, Triss lotteries (Swedish scratch ticket games),
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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 stepbystep illustrations
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 herp, derp, math nerd
A Tumblr "documentary of my journey, mistakes and all," by a Canadian undergraduate double major at UC Berkeley. Posts, which date back to May, 2012, have included "mr cauchy, teach us your ways," "closed, open, and clopen: yes, it's possible," "real
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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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 Images des Mathématiques  Fabrice Planchon, EditorinChief
Des articles sur la recherche mathématique contemporaine — en particulier, française — et le métier de mathématicien. Hébergé par le Centre National de la Recherche Scientifique (CNRS).
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 Infinite Series  Public Broadcasting Service
Math videos that mix graphics with narration from mathematician Kelsey HoustonEdwards. Clips, which date back to November, 2016 and run seven to seventeen minutes in length, have included "Singularities Explained," "The Mathematics of Quantum Computers,"
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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; QuasiMonte Carlo Methods; Construction of LowDiscrepancy 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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 Institut Henri Poincaré
The "embassy" of French mathematics and theoretical physics. Founded in 1928, the Institut Henri Poincaré (IHP) hosts quarterly thematic programs; doctoral courses; seminars such as Mathematic Park, a biweekly miniclass for high school and university
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 Instituto Nacional de Matemática Pura e Aplicada (IMPA)
A research institute and graduate school within the Brazilian Ministry for Science, Technology and Innovation (MCTI). The Instituto Nacional de Matemática Pura e Aplicada (IMPA) convenes a thousand students and researchers in mathematics, applied mathematics,
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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 awardwinning 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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 Jacopo Notarstefano
Interactive visualizations and puzzles: "Turing's sunflower," which connects leaf arrangements and Fibonacci numbers; "HavelHakimi," which presents nodes and their degrees to construct into a graph; "Fourcoloring a Dodecahedron"; and a logic puzzle
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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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 Jeremy Kun
Primers, galleries of computer programs and math proofs, and more befitting "a place for elegant solutions." Kun, a mathematics PhD student at the University of Illinois in Chicago with a background in computer science, has also blogged since September,
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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 (CUNYThe 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 socalled "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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