 Math Songs Wiki  Fridemar Pache
Listen to Bext, an animated proposition and proof of the Binomial Expansion Theorem sung by computer voice. With karaokestyle singalong text. Requires Flash. Also available from http://www.seedwiki.com/wiki/math_songs_wiki/.
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 Math Tour  ThinkQuest 1998
A site designed to be entertaining and to bring together people of all ages with a wide range of math skills to interact and explore mathematics, featuring original math problems, humorous proofs of theorems, funny stories, and interesting facts about
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 Math Video Lessons  Tom Henry
Narrated instructional videos available for purchase. Also available from http://mathmadesimple.com/.
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 Math WWW VL: Software  Dept. of Mathematics, Florida State University
Links to software sites for collegelevel mathematics.
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 Math WWW VL: Specialized Fields  Dept. of Mathematics, Florida State University
Links to sites for resources in specialized fields in collegelevel mathematics.
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 Matroid Theory  Sandra Kingan
Matroids are an abstraction of several combinatorial objects, among them graphs and matrices. The word matroid was coined by Whitney in 1935 in his landmark paper "On the abstract properties of linear dependence." In defining a matroid Whitney tried to
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 Melkamu Zeleke
Melkamu Zeleke is a graduate student in combinatorics. His papers and solutions to some problems from American Mathematics Monthly and Math Magazine may be downloaded as TeX, .dvi, or PostScript files. The code for accompanying Maple packages RADON,
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 MiniWebtool  Kevin Liu
Online math tools include an average calculator, base converter, basen calculator, binary calculator, binary converter, binary to decimal converter, binary to hex converter, binary to octal converter, bitwise calculator, compound interest calculator,
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 Mr. Orr is a Geek.com  Jon Orr
Blog by a Chatham, Ontario (Canada) secondary school math teacher. Posts, which date back to February, 2009, have included "Gr. 11 Quadratics Functions in the real world," "Grade 12 – Mind Map for Project," "Grade 9 Pentominoes," "Grade 11 – Exponential
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 Mudd Math Fun Facts  Francis E. Su; Mathematics Dept., Harvey Mudd College
A site developed as a resource for professors wishing to enrich their courses with mathematical 'fun facts': more than 100 5minute math tidbits that can be used at the beginning of class to get students interested in mathematics. They are best used in
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 New York Group Theory Cooperative at CCNY
Genetic algorithms, open problems and preprints in combinatorial and geometric group theory, meetings, links, and MAGNUS, a free (GPL) graphically oriented system, based on Tcl/Tk, for computational group theory designed to allow for exploration and experimentation
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 Nim  S. J. H. Sniffen
An old, simple game between two players. A certain number of matchsticks (or stones, paper clips, etc.) are arranged in rows. The standard starting position
is the 1357 position, in which the first row has one object, the second has three, the third
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 Noga Alon
Noga Alon researches combinatorics, graph theory, their applications to theoretical computer science, combinatorial geometry and number theory, and the relationship of combinatorial algorithms and circuit complexity. Some of his papers, along with a
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 The N Queens Problem  Marty Hall
Finding a solution to the NQueens problem for any N greater than or equal to 4 can be done without searching. Determining where each queen should go can be done in constant time per queen, or O(N) altogether. Thus, drawing the board (which is O(N^2))
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 The Number of Latin Rectangles [PDF]  Peter Doyle
A paper that shows how to generate an expression for the number of kline Latin rectangles for any k. The computational complexity of the resulting expression, as measured by the number of additions and multiplications required to evaluate it, is on the
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 Online Dictionary of Combinatorics  Joe Fields
An online dictionary of combinatorics by a doctoral student at the University of Chicago. The dictionary is navigable by letters of the alphabet, and contains a few illustrations. Entries range from Abelian to Zorn's Lemma, and include several resources
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 Open Problem Garden  Matt DeVos and Robert Šámal
A collection of unsolved problems  mainly, graph theory, combinatorics, and number theory. A wiki for each open problem includes relevant bibliographical citations, importance rating, and recommendation for undergraduates. Navigate by math subject,
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 Open Problems for Undergraduates (DIMACS)  Robert Hochberg, Center for Discrete Mathematics and Theoretical Computer Science, Rutgers Univ.
A collection of open problems in Discrete Mathematics in the areas of Graph Theory; Combinatorial Geometry; Geometry/Number theory; and Venn Diagrams, currently being researched by members of the DIMACS community. These problems are easily stated, require
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 Open Problems  Jeff Erickson
Open problems, mostly in geometry, including folding, combinatorial, and algorithmic problems. Contents include: Existence Problems: Does Object X exist?
Combinatorial Problems: How complex is Object X? Algorithmic Problems: How fast can Problem X be
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 Order  Kluwer Online
A journal on the theory of ordered sets and its applications. Order occurs throughout mathematics and especially in algebra, combinatorics, geometry, model theory, set theory and topology.
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 Original Lesson Plans  Mathematics  Thirteen/WNET New York
Original Webbased activities developed by Thirteen Ed Online Master Teachers. Each lesson consists of an overview with learning objectives, procedures for teachers, and "organizers" for students  handouts, bibliographies, and other materials. Math
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 Packomania  E. Specht
The best known packings of equal circles in the unit square and the unit circle. Tables summarize the current status of the search. Figures may be downloaded in postscript format. Also available from http://hydra.nat.unimagdeburg.de/packing/packing.html.
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 Paginedimatematica  Bruno Tomaino
In Italian: Analisi, trigonometria, equazioni differenziali, test a risposta multipla.
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 Party Games  Ivars Peterson (MathTrek)
You're one of six people at a dinner party. You would undoubtedly find that the dinner party includes either a group of at least three people who all know one another or a group of at least three people who don't know one another. The reason for this
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 Pentomino  K.S.O. Glorieux Ronse, Belgium
An introduction to polyominoes, with a sitewide focus on pentominoes. The site features puzzles and contests, as well as galleries of pentomino constructions and problems, such as how to form letters of the alphabet and silhouettes of zoo animals. Available
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 The perplexing mathematics of presidential elections  Keith Devlin (Devlin's Angle)
It's not the idea of one person one vote that's the problem, it's that math that is used to turn those votes into a final decision. Ideally, that math should reflect the wishes of the electorate. But does it? The answer usually comes as a surprise to
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 Pfaff's Method (III): Comparison with the WZ Method (Organic Mathematics Proceedings)  George Andrews
In the 1990's, the WZ method has been the method of choice in resolving new conjectures for hypergeometric identities. The object here is to compare the WZ method with Pfaff's method. Such a comparison should (it is hoped) provide some suggestions for
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 Phalanstère  Équipe de Combinatoire Algébrique, Université de MarnelaVallée
Research into the relations between algebra and combinatorics. Membres; Publications; Logiciels; Séminaire. In French.
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 Philippe Flajolet
Philippe Flajolet researches the analysis of algorithms, analytic combinatorics, computer algebra, asymptotic analysis, special functions, random structures, and natural languages. An extensive collection of his articles, and the first chapters of
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 Problems in Topological Graph Theory  Dan Archdeacon
An ongoing list of open questions in topological graph theory, to which the author invites contributions. Classical questions on genus; coloring graphs and maps; drawings and crossings; paths, cycles, and matchings; symmetries; locally planar embeddings;
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 Problem Solving Island  Samuel A. Rebelsky
Challenging openended word problems on the topics of games, such as Blockade, Finger Multiplication, and The Word Pyramid; puzzles such as Error Correction, Error Detection, The Fake Coin, Friday the 13th, and Leap Birthdays; and problems based on figures,
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 Problems with a Point  Education Development Center, Inc. (EDC)
A collection of problems designed to help students in grades 612 learn new mathematical ideas by building on old ones. Varying in difficulty and approaches, these problems are useful for teachers, students, parents, math clubs, homeschoolers, and others.
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 Project Based Learning Pathways  David Graser
A blog about real life projects suitable for college math courses such as algebra, finite math, and business calculus. Most of these applied math projects include handouts, videos, and other resources for students, as well as a project letter. Graser,
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 Puzzling Lines  Ivars Peterson (MathTrek)
Sol LeWitt has often featured geometric and combinatorial themes in his sculptures, paintings, and drawings. In 1973 he composed "Straight Lines in Four Directions and All Their Possible Combinations," a grid of 15 squares, each inscribed with one or
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 Query Interface to the Contents of the Mathematics Archives  University of Tennessee, Knoxville (UTK)
Search software, abstracts and reviews; teaching materials, etc. by keyword.
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 The rec.puzzles Archive
The index of the rec.puzzles archive. Puzzles are categorized by subject area and include solutions compiled from various sources and supposed to be definitive. Subjects include: analysis, arithmetic, combinatorics, competition, decision, geometry, group,
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 The rec.puzzles Archive  Massachusetts Institute of Technology (M.I.T.)
A list of puzzles, categorized by subject area, from the newsgroup rec.puzzles. Puzzles include solutions compiled from various sources, supposed to be definitive. Subjects include analysis, arithmetic, combinatorics, competition, decision, geometry,
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 rec.puzzles FAQs by Newsgroup  Dept. of Computer Science, Universiteit Utrecht
Information on the following topics: crosswords, analysis, arithmetic, combinatorics, competition, cryptology, decision, geometry, group, induction, Instructions, language, logic, physics, Pickover (Cliff), probability, reallife, references, series,
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 Research Group on Graph Theory and Combinatorics  Universitat Politècnica de Catalunya (UPC)
A group of about twentyfive members whose research belongs to the area, developing research projects and/or conducting works directed toward Ph.D. dissertations. Includes a searchable publication database and a page on The (Degree,Diameter) Problem for
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 Research Institute of Symbolic Computation (RISCLinz)
The Research Institute for Symbolic Computation, RISC, is an Austrian institute devoted to the field of symbolic computation. The site includes descriptions of various research areas, such as combinatorics, constraint solving, the theory of computation,
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 Richard Stanley
Richard Stanley is a combinatorialist at the Massachusetts Institute of Technology. His site includes a complete list of his publications, PostScript files of his most recent articles, and information, including corrections, about his book Enumerative
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 Sara Billey
Sara Billey researches combinatorics, algebra, Lie theory, algebraic geometry and probability. Her papers on these topics may be downloaded in PostScript or gzipped PostScript format. The syllabi and problem sets for her undergraduate courses, i.e.
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 Scheduling Random Walks  Ivars Peterson (MathTrek)
Among networked computers, some sort of software scheduler must regulate data flow, but proving that a given scheduler not only prevents conflicts but also performs its duties efficiently can be surprisingly difficult. Computer scientists have found that
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 The Set Game Company  Set Enterprises Inc.
SetGame is a family game of visual perception. Take the Java tutorial; learn the math behind the game (create a 3x3 magic square with SET cards, learn why the largest possible "no set" contains 20 cards, explore set theory and set operations involved
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 SIAM Activity Group on Orthogonal Polynomials and Special Functions  Martin Muldoon
A group for promoting basic research in orthogonal polynomials and special functions; furthering the application of this subject in other parts of mathematics and in science and industry; and encouraging and supporting the exchange of information, ideas,
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 SIAM Journal on Discrete Mathematics  Society for Industrial and Applied Mathematics
A journal that publishes research articles on a broad range of topics from pure and applied mathematics, including combinatorics and graph theory, discrete optimization and operations research, theoretical computer science, to coding and communication
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 Séminaire Lotharingien de Combinatoire
An electronic journal on combinatorics. Abstracts of the papers are available online, and the full articles can be downloaded.
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 Séminaire Lotharingien de Combinatoire  Institut für Mathematik, Universität Wien, Vienna, Austria
A joint seminar in Combinatorics for the Universities of Bayreuth, Erlangen and Strasbourg, as well as the other Universities along the Lotharingian boundaries. The Seminar hosts an international electronic journal carrying the same name, with abstracts
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 Software for Algebra and Geometry Experimentation  William Stein et al.
Free and open software for researching and teaching algebra, geometry, number theory, cryptography, and more. SAGE performs group theory and combinatorics (using GAP), symbolic computation and calculus (Maxima), commutative algebra (Singular), number
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 Some Problems in Matroid Theory  Thomas Zaslavsky
Sources of problems compiled by Zaslavsky, and problems he's found interesting: Bonin's Projective Bound; Maximum rFlat; Covering And Packing by Flats. For general sources of information on matroid theory, see Matroid Miscellany.
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