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 AMOF: The Amazing Mathematical Object Factory - Frank Ruskey Combinatorial objects are everywhere. How many ways are there to make change for \$1 using unlimited numbers of coins of all denominations? Each way is a combinatorial object. AMOF is part encyclopedia and part calculator, a teaching tool that generates mathematical permutations for such combinatorial objects as subsets and combinations, partitions, magic squares, and Fibonacci sequences by allowing the user to define the parameters of discrete objects. The Object Factory returns a list of all objects that satisfy those parameters. The site can be used to learn more about many types of discrete mathematical structures; descriptions of objects progress in complexity for students at different levels. For more advanced materials, see the Combinatorial Object Server (COS). more>> Combinatorial Object Server (COS) - Frank Ruskey; Dept. of Computer Science, Univ. of Victoria, B.C., Canada Specify a type of combinatorial object, together with specific parameter values, and COS will return to you a list of 200 such objects. Generation pages: permutations, combinations, various types of trees, unlabelled graphs, linear extensions of posets, pentomino puzzle solutions, numerical partitions, and a host of other objects. This server is designed for researchers and educators; the corresponding version for K12 students and educators runs on Canada's SchoolNet, and is called The Amazing Mathematical Object Factory. more>> Combinatorics - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to combinatorics, loosely the science of counting, studying families of sets (usually finite) with certain characteristic arrangements of their elements or subsets, and asking what combinations are possible, and how many there are. This includes a number of quite elementary topics, such as enumerating all possible permutations or combinations of a finite set. Because of the approachable nature of the subject, combinatorics is often presented with other fields (elementary probability, elementary number theory, and so on) to the exclusion of the more significant aspects of the subject. These include more sophisticated methods of counting sets... History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> Combinatorics (MathPages) - Kevin Brown About 40 "informal notes" by Kevin Brown on combinatorics: Dedekind's problem, cumulative permutation sequences, the factorial number system, Hardy and Ramanujan on partitions, solving magic squares, collecting k complete sets of coupons, and many more. more>> The Combinatorics Net and Annals Of Combinatorics - Bill Chen Links to combinatorics articles, groups, conference reports, seminars, journals, books, typesetting and graph drawing, software, preprints, open problems, research announcements, news and stories, and related sites. The Annals of Combinatorics publishes outstanding contributions to combinatorial mathematics in all its aspects. more>>
All Sites - 224 items found, showing 1 to 50
 24 Theory This "hobby website" offers JavaScript that calculates, enumerates, and displays all distinct solutions and solvable scenarios to the popular arithmetic card game, as well as interactive tables. 24theory.com also provides an online version of the 24 game ...more>> 3D-Mathematikprogramm - Ingenieurbüro Riescher German shareware program for Windows: MATHPROF ist ein einfach bedienbares Mathematikprogramm mit graphischen 2D- und 3D-Darstellungen, für Schüler, Studenten und Lehrer. Auch lassen sich einfache Konstruktionen im 2D- und 3D-Bereich erstellen und analysieren. ...more>> Aaron Robertson Aaron Robertson researches combinatorics, specifically Ramsey Theory. Abstracts of his papers are available online, and they may be downloaded in LaTeX, .dvi, PostScript, or PDF format. Related Maple packages, for which the code is available online, ...more>> Akalu Tefera's Electronic Headquarters - Department of Mathematics and Statistics, Grand Valley State University A mathematician whose research interests include computer algebra, automated theorem proving, and combinatorics and their "derivatives" or "equivalence classes." The site contains Maple packages for multiple integration of hyperexponential functions. ...more>> Algebraic Combinatorics Via Finite Group Actions - A. Betten, H. Fripertinger, A. Kerber An Internet book with chapters on Actions: Actions of Groups; Bilateral classes, symmetry classes of mappings; Finite symmetric groups; Complete monomial groups; Enumeration of symmetry classes; The involution principle; and Special symmetry classes; ...more>> Algorithms and Ice Cream For All (MegaMath) - Nancy Casey; Los Alamos National Laboratory Solve a city planning problem using mathematical graphs and algorithms. Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the ...more>> Algorithms Project - Institut National de Recherche en Informatique et en Automatique (INRIA) A small international group of people with interests in design and analysis of algorithms, computer algebra, combinatorial analysis and asymptotics. It aims at general methods in combinatorics and analysis, with which classes of problems can be treated ...more>> Alien Tiles Official Web Page - Pickover and Mckechnie A difficult puzzle developed by Dr. Cliff Pickover and Cam Mckechnie. (Some have called it Rubik's cube for the new millennium.) The rules are simple, but the patterns soon become very complex. The authors look forward to hearing from artists, puzzle ...more>> alt.math.undergrad - Math Forum An unmoderated discussion forum for issues and problems pertaining to college undergraduate mathematics. Read and search archived messages; and register to post to the discussions. ...more>> Andrew Odlyzko Home page of the Head of the Mathematics and Cryptography Research Department at AT&T Labs. The site contains a comprehensive list of his papers, most of which may be downloaded in LaTex, PDF, or PostScript form if they are not available as plain ...more>> Applied Combinatorics Environment (ACE) Documentation and FTP sites for the Applied Combinatorics Environment, or ACE, a group of programs for MAPLE to aid in combinatorics research. ...more>> Arbeitsgruppe Bachem/Schrader - University of Köln A working group of the Center for Parallel Computing (ZPR) at Köln. Site includes a list of members and contact address; informative write-ups on its projects, some in English. Topics include: Basic Research (meaning "pure" as opposed to "applied"); ...more>> Arbelos Internet Math Society - Bert Liberi and William F. Widulski, Westchester Communtiy College A mathematics society dedicated to the pursuit of elegance in problem-solving. Every month, solve challenging problems that require "more imagination than memorization." Also, access old problems and solutions; and study a list of heuristics of problem-solving, ...more>> Around the Dartboard - Ivars Peterson (MathLand) The numbers on a standard dartboard have the following order, going clockwise starting at the top: 20, 1, 18, 4, 13, 6, 10, 15, 2, 17, 3, 19, 7, 16, 8, 11, 14, 9, 15, and 5. Why this particular order? A possible criterion for designing a dartboard is ...more>> arXiv.org e-Print archive - Los Alamos National Laboratory (LANL) A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex Variables, Logic E-prints, Commutative Algebra, Dynamical Systems, ...more>> The Australasian Journal of Combinatorics - The Combinatorial Mathematics Society of Australasia, Inc. A tri-annual publication of the Combinatorial Mathematics Society of Australasia (CMSA). Search across all of the journal's volumes for authors or keywords in article titles; browse tables of contents dating back to the March, 1990, issue. Also, learn ...more>> Aviezri Fraenkel Aviezri Fraenkel is an Israeli mathematician investigating combinatorial game theory. This page offers preprints and recent reprints in postscript format; a comprehensive bibliography on combinatorial games; and links to information on conferences and ...more>> The Awari Oracle - John Romein Play the ancient African "count and capture" strategy board game, related to mancala, and also known as wari, awale, oware, or ayo. Dutch computer scientists from Amsterdam's Vrije Universiteit developed a program that computes the best move and eventual ...more>> Behind the Numbers - Jonathan Sills; ESPN SportsZone A monthly column that explores the gray area between math and sports and what happens when exact calculations meet the human, unpredictable factors that make sports so entertaining. A combinatoric and probabilistic analysis of changes in World Cup soccer ...more>> Bell Package - Jacek Kisynski This package provides functions which are useful while dealing with set partitions. We provide (hopefully) fast methods for sets of size up to 15 and methods with no set size restrictions which use BigInteger objects. The later ones are constrained ...more>> The Boise Problem Book - Marion Scheepers; Dept. of Mathematics, Boise State University, Boise, ID Combinatorial games and set theory. Chapters include: Covering games and Memory; Peculiar sets of real numbers and games; Gdelta properties and games; The precipitous ideal game; Cardinal numbers related to the real line; Embedding problems; Gaps; The ...more>> Books: Professional & Technical: Professional Science: Mathematics - Amazon.com Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations; ...more>> Brendan McKay Software includes nauty, a program for computing automorphism groups of graphs and digraphs, which can also produce a canonical labelling; and plantri, a program for generating planar triangulations. Also, skeptical treatment of claims made of miraculous ...more>> Brief Course Materials for Various Courses - E. Lee Lady; University of Hawaii A collection of short handouts: files are in PDF and DVI formats. Contents include: The Fundamental Theorem of Arithmetic, the division algorithm, solutions of linear congruences, solving the Chinese Remainder problem, an example of a continued fraction, ...more>> Brilliant Weekly Olympiad-style challenges that offer "rigorous, competitive, whimsical, and edifying" problem sets in math and physics. Register to explore the Brilliant Techniques Trainer's practice exercises; answer correctly to earn points redeemable for lanyards, ...more>> British Combinatorial Committee - Peter Cameron, Chair A body that works for the support of combinatorial and discrete mathematics in the United Kingdom. Conferences in 2000 and 2001; Bulletin and information; News Items; links to related sites. ...more>> CADCOM: Committee for the Advancement of Discrete and Combinatorial Mathematics - Chris Rodger, Auburn University, USA (Chair) An international committee formed by the Institute for Combinatorics and its Applications (ICA) to present Combinatorics and Discrete Mathematics in its best light to all interested people and agencies, including university administrations, industry, ...more>> Calculators On-Line Center: Part II - Mathematics - Martindale's Reference Desk Over 7,420 calculators for: Unit Conversion (Time, Distance, Length, Speed, Weight, etc.); Abacus; Basic Math; Complex Mathematics; Complex Math Education; Complex Math Calculators by Specialty: Algebra and Linear Algebra; Algorithms; Calculus; Central ...more>> Card Games - John McLeod Rules and information, including probabilities, about card and tile games. Indices by alphabetical order, classified by mechanism and by objective (including a list of children's games), arranged by country and the types of cards. Also, commercial, solitaire, ...more>> Catalogue of Lattices - Neil Sloane, Gabriele Nebe A catalogue of different types of lattices, combinatorial objects with direct applications to packing spheres into a limited amount of space. ...more>> Categories and Combinatorics Group - Mathematics and Statistics, Univ. of Sydney, Australia Category theory is a recent branch of mathematics originating in algebraic topology, but rapidly establishing connections with algebra, logic, algebraic and differential geometry, and most recently computer science. Category theory is particularly suited ...more>> CATS: Combinatorial Algorithms Test Sets - ACM Journal of Experimental Algorithmics (JEA) Mission: to facilitate experimental research by standardizing common benchmarks, providing a mechanism for their evolution, making them easily accessible and usable, and identifying significant open questions in the design of good test sets and the assessment ...more>> CO Combinatorics (Front for the Mathematics ArXiv) - Univ. of California, Davis Combinatorics preprints, from the U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic. ...more>> CombinaTexas: Combinatorics in the South-Central U.S. - Texas A&M University Web pages for conferences, with contact information. ...more>> Combinatorial Figures - Robert M. Dickau; Math Forum Mathematica pictures that are interesting for elementary combinatorics. Catalan number diagrams; permutation diagrams; derangements; shortest-path diagrams; Stirling numbers of the first and second kind; Bell numbers, harmonic numbers and the book-stacking ...more>> Combinatorial Games - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny A collection of interactive combinatorial games, many implemented in both normal and misère versions, including by Kayles, Nimble, and Northcott; variants of Nim, such as Wythoff's Nim; One-Pile and Take-Away games; a subtraction game, a fraction ...more>> Combinatorial Games Page - Erik Demaine A combinatorial game usually involves complete information, with no hidden cards and no random randomness - a pure strategy game. Demaine has researched combinatorial puzzles such as Tetris, Clobber, Phutball, Pushing blocks (puzzles involving a robot ...more>> Combinatorial Game Theory - David Eppstein, Theory Group, ICS, UC Irvine A list of links to materials on the Web. Combinatorial Game Theory studies strategies and mathematics of two-player games of perfect knowledge such as chess or go (but often either concentrating instead on simpler games such as nim, or solving endgames ...more>> Combinatorial Geometry (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine An extensive annotated list of links to material consisting of problems in which one starts with a geometric figure (say a polytope) but then considers abstract incidence properties of it rather than its metric properties. Most tiling and coloring problems ...more>> Combinatorial Mathematics Society of Australasia (CMSA) Information for members of a society formed to facilitate, encourage, foster and cherish the branch of mathematics known as combinatorics throughout Australia, New Zealand and their neighbouring countries. Rules; members; minutes of meetings; annual general ...more>> Combinatorica - János Bolyai Mathematical Society, Springer-Verlag An international journal that publishes research papers in English in a variety of areas of combinatorics and the theory of computing, with particular emphasis on general techniques and unifying principles. ...more>> Combinatorics and Graph Theory - Department of Mathematics, Umeå University, Sweden Home page of the Combinatorics Group. Members and research projects, seminars, archives of downloadable software, combinatorial and graph theoretical data, and preprints. ...more>> Combinatorics (Graphics Archive, Special Topics) - The Geometry Center Enumeration problems, and other problems involving counting, including meanders. ...more>> Combinatorics, Probability & Computing - Cambridge University Press Now published bimonthly, the journal covers combinatorics, probability theory, and theoretical computer science. Topics covered include classical and algebraic graph theory, extremal set theory, matroid theory, probabilistic methods and random combinatorial ...more>> Combinatorics Research Group - Pure Maths Department, The Open University A group interested in graph theory, design theory, the history of combinatorics, and combinatorial computing. The Group runs the Open University Winter Combinatorics Meeting near the end of January each year. ...more>> Combinatorists of New England A series of one-day conferences mostly held at Smith College in Northampton, MA. The Combinatorists of New England meet five times a year. This Web site provides information about future meetings and links to participants' papers available electronically. ...more>> Computational Complexity (CC) - Birkhäuser Verlag AG, Switzerland CC presents outstanding research in computational complexity. Its subject is at the interface between mathematics and theoretical computer science, with a clear mathematical profile and strictly mathematical format. You may download a free electronic ...more>> Covering Systems, Restricted Sumsets, Zero-sum Problems and Their Unification - Zhi-Wei Sun Three famous topics in combinatorial number theory and a unified theory of them. ...more>> Dancing with Mathematics: Mathematics Related to Contra Dancing - Larry Copes The mathematics of contra dancing. The essay has three sections -- What's contra dancing? What mathematics is in contra dancing? and More abstractly -- and links to figures illustrating contra dance symmetries and geometric transformations. ...more>> David Bruce Wilson David Bruce Wilson researches probability, combinatorics, and theoretical computer science. Abstracts of his articles on these subjects are available on the web and may be downloaded in PostScript or .dvi formats. Software available for download includes ...more>>
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