- Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n - Thien Do; Westmoore High School, Oklahoma City, OK
Using methods of congruences, the author shows that if p = 3 there is only one positive solution (1,2), and if p is any other odd prime not congruent to 7 mod 8, there are no solutions. Introduction; Methodology; Conclusions; Further Works; Acknowledgements;
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- The Development of Group Theory - MacTutor Math History Archives
Linked essay describing the rise and progress of group theory from the 18th through the 19th centuries, with references (books/articles).
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- De Viribus Quantitatis - The University of Bologna
Luca Pacioli, a Franciscan monk, mathematics tutor, and colleague of Leonardo Da Vinci, wrote this foundational text of modern magic and numerical puzzles between 1496 and 1508. De Viribus Quantitatis (On the Powers of Numbers) contains the first ever
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- Devising channels that nurture ingenuity and creativity in mathematics classes. - Helen Christensen; Loyola College; The Math Forum
Summary of a presentation given at the 1996 Joint Mathematics Meetings in Orlando, Florida. Original projects and individual journals can challenge students who are more linguistically oriented, and who crave expression for their ingenuity and creativity
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- DG Differential Geometry (Front for the Mathematics ArXiv) - Univ. of California, Davis
Differential Geometry 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.
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- The Diamond Theorem - Steven H. Cullinane
Finite projective geometry explains the surprising symmetry properties of some simple graphic designs -- found, for instance, in quilts. Links are provided for applications to sporadic simple groups (via the "Miracle Octad Generator" of R. T. Curtis),
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- Dictionary of Algorithms, Data Structures, and Problems - Paul E. Black
Originally compiled for the CRC Dictionary of Computer Science, Engineering and Technology: a dictionary of algorithms, algorithmic techniques, data structures, and archetypical problems, with related definitions. Algorithms include common functions,
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- Dictionary of Mathematics (English-Spanish / Spanish-English) - Kenneth Allen Hornak
A comprehensive bilingual dictionary covering everything in mathematics: applied mathematics, pure mathematics, algebra, statistics, geometry, arithmetic, calculus, game theory, topology, probability, trigonometry, economic theory, mathematics teaching
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- Dictionary of Number Words - Intergalactic Power & Light
A dictionary of English language words, phrases, prefixes, suffixes, and
symbols that describe numbers. Cardinal Numbers, Ordinal Numbers, very large numbers, Noninteger Real Numbers, Numeric Ranges.
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- A Dictionary of Units - Cleave Books
A summary of units of measurement world-wide (current units and a few of historical interest); conversion factors to the SI (Systeme International); an outline of the SI; its basic defining standards and some of its derived units; all the SI prefixes
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- Die-Cast Polyhedra Models - Pedagoguery Software
Sets of small die-cast solid aluminum polyhedra, in various colors, available for online purchase.
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- Dien dàn Toán hoc.net
A math site in Vietnamese.
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- Difference and Functional Equations - Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to functional equations, those in which a function is sought which is to satisfy certain relations among its values at all points. For example, we may look for functions satisfying f(x*y)=f(x)+f(y) and
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- Differential Equations (calculus@internet - Mathematica) - Christopher A. Barker
Mathematica Track. 1. Basics (Mathematica Overview; The Environment; Arithmetic; Using Variables; Working with Lists; Vectors & Matrices; Algebraic Operations; Functions; Calculus Operations; Graphics). 2. Differential Equations (Creating Slope Fields;
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- Differential equations in industry and commerce - TMR network - ECMI
Coordinated at the Oxford Centre for Industrial and Applied Mathematics, the network aims to enhance understanding of industrial processes and commercial operations through the use of reliable modeling, novel mathematics, and numerical analysis. Six young
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- Differential Equations Maple Worksheets - Rensselaer Polytechnic Institute
Maple worksheets and related PostScript files for teaching elementary differential equations are available for download.
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- Differential Equations - Math Forum
Links to some of the best Internet resources for differential equations: classroom materials, software, Internet projects, and public forums for discussion.
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- Differential Equations Resource Page - Gavin Larose, University of Michigan Math Department
PostScript labs, involving Mathematica 3.0 or better. Also 12 projects, with PostScript notes on solutions, and a brief list of links to other ODE resources.
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- Differential Equations (S.O.S. Mathematics) - Dept. of Mathematical Sciences, Univ. of Texas at El Paso
An online course: learning units presented in worksheet format review the most important results, techniques and formulas in college and pre-college differential equations. Sections include: Introduction and First Definitions; Modeling via Differential
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- Differential Geometry - Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to differential geometry, the language of modern physics and an area of mathematical delight. Typically, one considers sets which are manifolds (that is, locally resemble Euclidean space) and which come
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- Differential Geometry (Graphics Archive, Special Topics) - The Geometry Center
Using differential calculus to study curves and surfaces in space.
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- Differential Geometry Images - Walter Seaman
Animations of differential geometry topics: images constructed by Seaman using the programs in Modern Differential Geometry of Curves and Surfaces with Mathematica (Second Edition) by Alfred Gray. Topics include: Curves with prescribed curvature and torsion;
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- Different Ways to Represent Numbers - Chad Lake
Online paper that discusses and illustrates counting in bases other than 10; converting to decimal; the Snake Algorithm (the algorithm, summary of binary-to-decimal Snake Algorithm, decimal-to-binary Snake, extending the Snake to other bases, and summary
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- Diffpack - Numerical Objects Online
Diffpack is a collection of C++ modules containing a wide selection of interchangeable and application-independent components, useful as a set of linkable libraries integrated with existing applications or as a development framework including a fully
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- DigiArea Group - Helen Golovina
Makers of atlas™, a Maple package for differential geometry calculations that works with manifolds, mappings, embeddings, submersions, p-forms, and tensor fields; and LdeApprox™, a toolbox for Maple or Mathematica that finds analytical polynomial
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- Digital Deletions - Pierre Ysewijn
An interactive JavaScript version of Conway's Digital Deletions game, in which numbers in a string are lowered to zero or erased. Users can play with different numbers of digits, different strategy levels, different starters, different sources of digits
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- Digital Generation Unit Conversions - Digital Generation
Choose from 26 different categories of engineering and scientific units. Also available at http://www.webcom.com/legacysy/convert2/convert2.html and http://www.legacysy.com/~legacysy/convert2/convert2.html.
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- Digital Library of Mathematical Functions - National Institute of Standards and Technology
An updated, online version of Abramowitz and Stegun's authoritative Handbook of Mathematical Functions (with Formulas, Graphs, and Mathematical Tables), with extensions and innovative interactive features. See also the table of software for computing
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- Digital Library: Science, Mathematics, Engineering and Technology Education (SMETE) - NEEDS
This site contains a searchable working prototype of a National Science, Mathematics, Engineering, and Technology Education Digital Library; a prototype federated search for the math community and the American Mathematics Metadata Task Force (AMMTF);
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- Digital Library - The Exploratorium, San Francisco
The Exploratorium A-to-Z. Archived webcasts, web cams, past exhibitions: stills, movies, sounds, and other experimental items. Online versions of a few of the Exploratorium's interactive exhibits; the Exhibit Cross-Reference - an experimental database
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- Digital Mathematics Archive - SunSITE.UBC.CA
A digital collection of mathematical sources, with a primary focus on documents from the late 19th century through today. Papers, letters, manuscripts, e-mail messages, Usenet-news postings, computer rendered images and computations, program source code.
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- 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 hand-in-hand, 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. 260-278. Introduction; Curves; Abelian varieties and their subvarieties; Diophantine Approximation in characteristic p; Omitted
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- Diophantine m-tuples - Andrej Dujella; Zagreb
Introduction to Diophantine m-tuples, 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 E-conferences - Diane K. Kovacs and The Directory Team
Descriptions of electronic conferences (e-conferences) on topics of interest to scholars and professionals for use in their scholarly, pedagological and professional activities. E-conference 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 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 t-designs with a prescribed automorphism group. Includes an explanation of the construction of t-designs, a tutorial, a database of design parameter sets, publications, and source code to download.
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- Discrete and Computational Geometry - Springer-Verlag
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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The Math Forum is a research and educational enterprise of the Drexel University School of Education.