 Digits, Squares, and Cycles  Ivars Peterson (MathTrek)
Fascinating patterns lurk among the digits of whole numbers. Pick a positive integer, such as 57. Square each of the digits, then add the squares together: 5^2 + 7^2 = 25 + 49 = 74. Do the same thing with the digits of 74: 7^2 + 4^2 = 49 + 16 = 65. Keep
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 DIMACS Research and Education Institute (DREI)  Rutgers University
An institute from the Center for Discrete Mathematics and Theoretical Computer Science which takes the approach that research and education should work handinhand, that collaborations between researchers and educators are formed by understanding each
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 DIMACS  Rutgers & Princeton Universities, AT&T Bell Labs, BellCore
The Center for Discrete Mathematics and Theoretical Computer Science, an NSF Science and Technology Center. DIMACS is devoted to the development of the interrelated fields of discrete mathematics and theoretical computer science, among the most rapidly
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 Diophantine geometry in characteristic p: a survey  José Felipe Voloch
An article that appeared in Arithmetic Geometry, F. Catanese, ed., Symposia Mathematica XXXVII, Cambridge Univ. Press, 1997, pp. 260278. Introduction; Curves; Abelian varieties and their subvarieties; Diophantine Approximation in characteristic p; Omitted
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 Diophantine mtuples  Andrej Dujella; Zagreb
Introduction to Diophantine mtuples, i.e., sets with the property that the product any two distinct elements is one less than a square. Diophantine quintuple conjecture, sets with the property D(n), connections with Fibonacci numbers, rational Diophantine
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 Directory of Computational Geometry Software  Nina Amenta; The Geometry Center
A list of computational geometry programs and packages, and other related algorithmic Web sites.
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 Directory of Scholarly and Professional Econferences  Diane K. Kovacs and The Directory Team
Descriptions of electronic conferences (econferences) on topics of interest to scholars and professionals for use in their scholarly, pedagological and professional activities. Econference is an umbrella term that includes discussion lists, Internet
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 Dirichlet Sketches  Jim King, Key Curriculum Press; Math Forum
Three sketches showing the Dirichlet or Voronoi regions corresponding to configurations of 3, 4, or 5 points.
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 Discount Textbooks.net  Imedia Technologies, LLC.
A search engine for various booksellers, focussing on new and used textbooks from various disciplines including mathematics. Using the search settings, you can compare total price (including shipping) from over the 50 sources involved.
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 Discoveries & Breakthroughs Inside Mathematics  American Mathematical Society (AMS)
Read articles and watch video news segments about the latest discoveries and applications of mathematics: "Do the Math Dance," "Mathematician Calms the Skies with Turbulence Detection Algorithm," "Become a Smarter Shopper," "The Science Behind Movie Magic,"
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 Discovering Geometry Newsletter  Key Curriculum Press
A free biannual publication providing information and teaching techniques for The Geometer's Sketchpad software package, the Discovering Geometry Newsletter is a resource for those interested in geometry and technology education. Download PDFs of past
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 Discovering Polygons and Polyhedra  Paul Scott; applets by Bob Allanson
To encourage exploration of polygons and polyhedra in an interactive way, and to appreciate their
beauty. The site contains many diagrams and applets, and invites readers to explore and find
answers for themselves.
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 Discovering the Art of Mathematic  Fleron, Julian, et al.
Resources to help mathematics faculty teach the subject to liberal arts and humanities undergraduates by actively involving them in authentic mathematical experiences that "provide meaningful cognitive and metacognitive gains, and nurture healthy and
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 Discovering Wavelets  Grand Valley State University (GVSU)
Wavelets for undergraduates: a site designed to be a center of activity for incorporating wavelets into the undergraduate curriculum, with links to undergraduate projects based on wavelets and image compression, and to undergraduate research projects.
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 Discover Magazine  The Walt Disney Company
The monthly magazine of science and technology. Covers space, biology, health, medicine, AIDS, computers, new technology, the environment, astronomy, ancient life, archeology, evolution, physics, mathematics, ecology, and more. Available online: selected
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 Discreta  Betten, Haberberger, Laue, Wassermann
A program to construct tdesigns with a prescribed automorphism group. Includes an explanation of the construction of tdesigns, a tutorial, a database of design parameter sets, publications, and source code to download.
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 Discrete and Computational Geometry  SpringerVerlag
An international journal of mathematics and computer science that accepts research articles of high quality in discrete geometry and on the design and analysis of geometric algorithms; more specifically, DCG publishes papers on such topics as configurations
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 Discrete Calculus by Analogy  Farzali Izadi, N. Aliev, G. Bagirov
"With origins stretching back several centuries, discrete calculus is now an increasingly central methodology for many problems related to discrete systems and algorithms. The topics covered here usually arise in many branches of science and technology,
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 Discrete Fourier Series Transform  Eric Brasseur
A brief introduction to the discrete Fourier transform and its application to signal sampling. Also available in French.
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 The Discrete Mathematics Project  Dominic Peressini; University of Colorado at Boulder
Archived resources from the collaboration of the UC Boulder School of Education and Department of Applied Mathematics. Activities sketch goals, abstracts, brief problem statements, instructor suggestions, suggestions for curriculum integration and further
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 Discrete Mathematics & Theoretical Computer Science (DMTCS): An Electronic Journal  Jens Gustedt
DMTCS is an electronic journal published by the Maison de l'Informatique et des Mathématiques Discrètes, MIMD. It is a peerreviewed publication devoted to rapid publication of innovative research which covers discrete mathematics and theoretical computer
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 discretemath  Math Forum
A discussion group for subject matter concerning teaching and researching of discrete mathematics at all levels. It began as a closed list for the researchers and educators who participated in the Rutgers University Discrete Math and Theoretical Computer
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 Discrete Math  Math Forum
Links to some of the best Internet resources for discrete mathematics: classroom materials, software, Internet projects, and public forums for discussion.
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 Discrete Math Problem of the Week (PoW)  Math Forum
Discrete math problems from a variety of sources, including textbooks, math contests, NCTM books, and puzzle books, and reallife situations, designed to reflect different levels of difficulty. From 1999 until 2002, this service challenged students with
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 Discrete Math Terms  Jennifer D. Jones, University of Oregon
A glossary of discrete math terms, from "and" and "absorption law" through "characteristic equation," "negation," and "recurrence relation," to "universal bound law" and "vacuously true." Available for navigation without frames.
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 Discriminant Exponent Calculator  John Jones
A Java applet for computing the maximum exponent of a prime in the discriminant of a number field of given degree. Enter values for the degree and the prime, and hit the Compute button.
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 Discussing Undergraduate Mathematics Education on the Internet  Steve Weimar for MAA Online; The Math Forum
Descriptions of good math discussion groups: what kinds of conversations you will find, how to access them, etc. Teaching and learning mathematics: MATHEDU, AMTE, MATHEDCC, DEVELOPMENTAL MATH. Topicspecific lists: MATHHISTORYLIST, APCALC, APSTAT,
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 Discussiones Mathematicae Graph Theory  Borowiecki; Technical University of Zielona Góra, Poland
The journal publishes articles in English on all aspects of graph theory, especially concerning: colourings, partitions (general colourings), hereditary properties, independence and dominating structures (sets, paths, cycles, etc.), cycles, local properties,
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 Discussion Groups: Technology  Texas Instruments
Read, search, and post to groups about TI products: Scientific Calculators, TI10, TI73, TI80/81, TI82/83/83 Plus/Silver Edition, TI85/86, TI89/Voyage 200/TI92 Plus, CAS and Symbolic Math Guide, Graphing Calculator Comparisons, Derive, muLISP, TI
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 Discussions  Math Forum
The Math Forum's discussions include mathematics and math educationrelated newsgroups, mailing lists, and Webbased discussions. Read recent and older messages, find out how to subscribe to a mailing list that interests you, read an MAA Online article
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 Disorder in the Deck  Ivars Peterson (MathTrek)
About 30 years ago, tournament bridge players started using computershuffled rather than handshuffled decks. Almost immediately, there was an outcry protesting the apparently wild fluctuations in the distribution of cards of different suits in computerdealt
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 Dissections: Plane & Fancy  Greg Frederickson, Cambridge University Press
A book that explores an area of mathematical recreations, called geometric dissections, or the cutting of one or more figures into pieces that can be rearranged to form other figures. With an emphasis on using as few pieces as possible, these geometrical
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 Dissection (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on problems of cutting a region (such as a polygon into the plane) into pieces (possibly putting them together to form a different polygon). Related topics include tiling (in which the whole plane is cut
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 Distance Calculator Between Cities  Dan Gallagher
Enter two cities or countries and this CGI illustrates them on a scaled political map, calculates the distance between the two locations in miles and kilometers, and provides information about latitude, longitude, bearing, and airports. All latitude and
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 Distance Calculus @ Suffolk University  Suffolk University and MathMonkeys, LLC
Calculus on the Web. Contents include: PreCalculus (functions, algebra, trigonometry); Calculus Topics (differential and integral calculus, sequences and series, multivariable calculus, differential equations); Assistance (student, instructor); Curriculum
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 Distance Learning  Pure Science and Mathematics  Distance Learning Course Finder
A directory for those interested in finding out about online learning programs, courses, and seminars offered by a broad spectrum of educational providers. From the home page in addition to searching by subject you may also search by keyword or course
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 Distance Recipe (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A technical definition of how to compute distance. Examples of distances; The Unit Disc Model; Passing from one model to another...
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 Distances on the surface of a cubical box  Henry Bottomley
An applet that demonstrates distances across the surface of a rectangular box. The first three boxes are the dimensions of the cuboid. To change them, type new numbers in and then press the "You choose" button. The text box offers six almost selfexplanatory
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 The Distribution of the Knight  the Theoretical Research Institute
For every given starting point in the knight's tour problem, evaluate every
possible path that visits each square exactly once, and then count how many
solutions exist. Illustrations and calculations of the distribution of solutions
and dead ends across
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 Divide and conquer for quantum computers  Ivars Peterson  Science News Online
In theory, quantum computations can be speeded up significantly by letting many quantum computers work together in parallel on data encoded as particles in an entangled quantum state.
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 Divine Proportions: Rational Trigonometry and Geometry  N. J. Wildberger, Wild Egg Books
Divine Proportions describes a new way of thinking about trigonometry and Euclidean geometry. It shows how to develop both subjects in a completely algebraic, or rational, way, without any need for transcendental concepts or functions. As a result the
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 Divisibility Criteria  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A definition of some divisibility criteria, and their derivation from modulo arithmetic, with links to related pages.
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 Division by Three [PDF]  John Conway, Peter Doyle
A formal proof that it is possible to divide by three. This assertion is easy to prove using the axiom of choice, but becomes a much more difficult problem if the axiom of choice is not allowed (as is the case here). From this proof, and the much simpler
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 Division by Zero  Dave Richeson
A blog about "math, puzzles, teaching, and academic technology." Posts, which date back to September of 2008 and sometimes introduce original applets, have included "Volumes of ndimensional balls," "Albrecht Dürer's ruler and compass constructions,"
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 Divisor Plot  Jeffrey Ventrella
"We hear of primes described as the 'building blocks' of all numbers. Let's turn that concept on [its] head. Instead, let's think of primes as the negative spaces behind complex objects. Imagine a series of picket fences stacked in front of each other.
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 Divulgaciones Matemáticas  La Universidad del Zulia
Archives of the biannual Spanishlanguage research journal dating back to 1993. Most issues contain research papers (artículos de investigación), articles about teaching (artículos sobre enseñanza), expository and historical
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 DIY Calculator  Clive (Max) Maxfield and Alvin Brown
Order the book How Computers Do Math, or preview its table of contents. The book's interactive laboratories guide you in the creation of a simple calculator program to run on your DIY Calculator; its accompanying CDROM contains a virtual "DoitYourself
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 D. J. Bernstein
Courses, research articles (in dvi format), and a list of available software, listed by a professor of mathematics and computer science at the University of Illinois. Pages are also listed by topic. Also at ftp://koobera.math.uic.edu/www/djb.html.
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 Dmitry Gokhman
Papers (Hardy fields; Differential fields of complex germs; Applied mathematics), Class lecture notes and summaries, code (IGF, LibPS 2, Python, Perl, TeXtool 2.12a), courses, translations, guests.
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 DNA Adds Up  Ivars Peterson (MathLand)
Calculating that 0 + 0 = 0, 1 + 0 = 1, and 0 + 1 = 1 is normally no big deal. When the calculations are done in the lab using DNA molecules, however, these elementary manipulations look considerably more interesting. In the July 12 [1996] Science, a team
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