- History and Biography - Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to history and biography in mathematics. The study of the history of mathematics and its proponents includes several well-developed parts. The development of comparatively simple mathematics (through
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- The history of cartography
- MacTutor Math History Archives
Linked essay on how map making has played an important role in the development of mathematics.
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- History of Compactness - Manya Raman
Download a paper that discusses the development of the concept of compactness, one of the most important and useful notions in advanced mathematics and a sort of gatekeeper topic to higher-level mathematics. By presenting an historical treatment of this
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- The History Of Computing - Dept. of Computer Science, Virginia Tech
Index of the items in a collection of math history materials related to the history of computing by J. A. N. Lee, Editor-in-Chief of the IEEE Annals of the History of Computing, constructed as part of the course materials for the "Professionalism in Computing"
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- The History of Mathematics
Notes from a History of Mathematics course given at the Univ. of South Australia and a Graduate Certificate in Mathematics Education project. Topics include a chronological study of the development of number from a European and Eastern perspective; the
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- History of Mathematics - Carl Eberhart; Dept. of Mathematics, Univ. of Kentucky, Lexington, KY
Information and Maple worksheets on Egyptian fractions and geometry, Babylonian numeration, Hippias and his Quadratix, cubic equations, trigonometry until Ptolemy, curves, and more. Also examples of student projects. A spring 1999 course on the history
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- History of Mathematics - David Joyce; Dept. of Mathematics & Computer Science, Clark University
History sources, books and articles online. Sources by region (Babylonia, Egypt, China, Greece, India, Arab sphere, Japan, and Europe); Books and other nonweb resources (organizations, bibliography of source books, journals, bibliographies and catalogues,
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- History of Mathematics - David R. Wilkins, Trinity College, Dublin
A directory of Web sites and pages around the world relating to the history of mathematics. Also biographies of some seventeenth and eighteenth century mathematicians, taken from A short account of the history of mathematics (4th edition, 1908) by W.
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- History of Mathematics (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
An alphabetical list of some of the best sites for math history on the Web, part of the Math Archives' collections of Math Topics. Icons provide more information about level, interactivity of site, Java, and presence of images or links.
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- History of Mathematics (MathPages) - Kevin Brown
About 40 "informal notes" by Kevin Brown on math history: Zeno and the paradox of motion, Archimedes and the square root of 3, Mayan numeration, Hipparchus on compound statements, Planck's analysis of Kaufmann's experiment, the ten means of Ancient Greece,
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- History of Science, Technology, and Medicine - WWW Virtual Library (WWWVL)
A searchable online service established to keep track of information facilities in the history of science, technology and medicine. Sites are available alphabetically or by scientific field, source, exhibitions, institutions, regions, a historical biographical
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- A history of the Burnside problem - MacTutor Math History Archives
Linked essay on the development of the questions: Is a finitely generated periodic group necessarily finite? Is a finitely generated periodic group of bounded exponent necessarily finite?
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- A history of time: 20th century time
- MacTutor Math History Archives
Linked essay on the dramatic changes in ideas about time in the 20th century.
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- A history of time: Classical time
- MacTutor Math History Archives
Linked essay on the central role time has played in mathematics from its very beginnings.
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- The history of voting
- MacTutor Math History Archives
Linked essay on the history of electoral systems.
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- A history of Zero - MacTutor Math History Archives
Linked essay on the development of the concept of zero. There are two important but different uses of zero: one as a empty place indicator in our place-value number system, and one as a number itself in the form we use it as 0. There are also different
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- HO History and Overview (Front for the Mathematics ArXiv) - Univ. of California, Davis
Math History and Overview 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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- Holistic Numerical Methods Institute - Autar Kaw
Open courseware, books, primers, journal abstracts, PowerPoint presentations, multiple choice tests, and other resources supporting a typical course in Numerical Methods for undergraduates majoring in science, technology, engineering and mathematics (STEM).
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- Home Page for John Robertson - John Robertson
Download original PDFs on curves of genus zero, Pell equations, binary quadratic equations, magic squares, and continued fraction expansions of sqrt(D) and (1+sqrt(D))/2.
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- Homepage Michel Delord - Michel Delord
Une site opposé "à la spirale qui prétend faciliter la compréhension en allégeant les savoirs fondamentaux.... [et] à la justification de cette spirale qui sépare l'intelligence conceptuelle de ses manifestations
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- Home Page of Andrei Toom, André Toom - Andrei Toom, Department of Statistics, Federal University of Pernambuco, Recife, Brazil
The home page of one of the developers of the Toom-Cook, or Toom-3 algorithm, a method of multiplying two large integers. Toom's English-language mathematics articles, published in journals such as the Journal of Statistical Physics, include "Non-Ergodic
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- Home Page of John B. Cosgrave - John B. Cosgrave
The author of A Prime For The Millennium, in which is outlined his discovery of what he calls a 'millennium' prime, (a prime number with exactly 2000 digits), also provides links to a Fermat number record and the possiblity of a 6th Fermat prime. Prof.
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- Homepage of Keith Matthews - Dept. of Mathematics, Univ. of Queensland, Australia
Matthews is a Senior Lecturer whose professional interests are number theory, teaching, and traversing the World Wide Web to uncover things of interest to number theorists for the Number Theory Web. Links to mathematical interests, gateways (mainly mathematical)
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- Home Page of Persi Diaconis - Persi Diaconis
Download PDF and PostScript papers, organized by co-author or by year of publication, such as Asymmetric one-dimensional constrained Ising model; Random walk on trees and matchings; and Mathematical developments from the analysis of Riffle-shuffling.
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- Homepage of Torsten Sillke - Torsten Sillke
A collection of puzzles statements, with references, on a variety of topics: operations research, such as crossing the bridge; logic, including liars and truth tellers, mastermind, and age problems; lateral thinking, also known as "situation puzzles";
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- Home Pages for Developing Courses - Mathematics Throughout the Curriculum, Indiana University
Interdisciplinary courses under development and close to finished: Life Sciences (BioMath Problems, Mathematical Foundation for Speech and Hearing Sciences), Business and Economics (Games and Decision Making, Games for Business and Economics, Mathematics
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- Home Page - Tony Roberts; Dept. of Mathematics and Computing, University of Southern Queensland, Australia
Links to recent research papers (titles, abstracts and electronic copies of recent research documents); software (computer routines to do various taks such as estimate fractal dimensions, solve DAEs, etc,, mainly in Matlab); teaching and other material
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- Home Run Numbers - Ivars Peterson (MathTrek)
The integers 61 and 62 have been very much in the news this summer. On the major-league baseball front, Mark McGwire hit his 62nd home run on Sept. 8, and Sammy Sosa matched that total on Sept. 13, surpassing the record of 61 home runs in a season held
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- Homework H(e)aven - Morris County Library
Recommendations, strategy, and pointers to search engines and favorite sites for finding reliable information for students' assignments.
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- Homogeneous Transformation Matrices - Daniel W. VanArsdale
Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
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- Homotopy Groups - Dave Rusin; The Mathematical Atlas
An introduction to the study of "homotopy continuation methods" in numerical analysis and control, which are essentially unrelated to homotopy theory but rather are more akin to analytic continuation in complex analysis. History, applications and related
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- Homotopy Theory - Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to the study of topological spaces using a broader equivalence than homeomorphism, the natural setting for algebraic topology because the traditional algebraic invariants (fundamental group, etc.) are
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- The Honeycomb Conjecture - Ivars Peterson - Science News Online
Mathematician Thomas C. Hales of the University of Michigan at Ann Arbor has formulated a proof of the so-called honeycomb conjecture, which holds that a hexagonal grid represents the best way to divide a surface into regions of equal area with the least
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- Hopalong Image Generator - David Imai
This Java applet generates a unique fractal image before your eyes, based
on Martin's Hopalong algorithm. This mapping was described in an article by
A.K. Dewdney in the September 1986 issue of Scientific American magazine.
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- Hopfield Net for 8-Queens Problem - Yuri Pryadkin
Given a standard chessboard and 8 chess queens, place them on the board so that no queen is on the line of attack of any other queen. The author's applet finds solutions to the general problem, with N queens on the NxN board. Tips and analysis of the
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- Hopf Topology Archive - Clarence Wilkerson, Dept. of Mathematics, Purdue University
The Hopf archive contains freely available articles and preprints as dvi, ps, text, or lj.gz files. Some short abstracts and a search engine are included, as well as pictures of topologists and some useful links concerning topology.
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- HostMath - Cui Wei
Input LaTeX, Tex, AMSmath or ASCIIMath, and this dynamic equation editor renders the notation for typesetting. HostMath formats for math, logic, symbols, Greek letters, trigonometry, arrows, and more.
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- HotEqn: The IMGless Equation Viewer - Lehrstuhl für Elektrische Steuerung und Regelung (ESR), Ruhr-University Bochum
A Java applet for viewing and displaying mathematical equations on the Web. The applet uses LaTeX notation to code its equations. Font sizes are variable, so the applet can also be used to display inline equations.
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- Houston Area Real-Time Traffic Report - Susan Boone
Students calculate the time needed to travel a certain distance given the rate of speed with data collected using "real-time" traffic maps of the greater Houston area. Over a period of one week, one month, and one school year, traffic patterns are studied
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- The Houston Journal of Mathematics - Klaus Kaiser, Managing Editor, University of Houston
A quarterly refereed journal publishing original research papers on mathematical topics. It welcomes contributed papers that develop interesting, or important, new mathematical ideas and results or solve outstanding problems. Read titles and abstracts
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- How a Slide Rule Works - Peter Fox
An explanation of how slide rules work, beginning with a rudimentary logarithm calculator and log tables, featuring a logarithmic scale to print out to make your own slide rule, and concluding with "tricks from the slide rule era."
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- How Does Biology affect Mathematics? - Louis J. Gross, University of Tennessee
Four examples of fields of mathematics that have been developed in part due to the biological underpinnings: Chaos Theory; Reaction diffusion equations; Genetic algorithms; and Neural Nets. A 1999 Math Awareness Month theme essay, with links to sites
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- How do I tell a real difference from random variation? - Max Janairo
This paper presents the concepts necessary to understand what the methodologies of hypothesis testing and confidence intervals accomplish, and provides an introduction to the use of these concepts to answer particular questions in medicine. Some problems
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- How do we know about Greek mathematicians? - MacTutor Math History Archives
Linked essay examining how the dates of Diocles given in the MacTutor archive have been determined, and other ways to gain information about the ancient Greek mathematicians, with references and other related web sites.
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- How do we know about Greek mathematics? - MacTutor Math History Archives
Linked essay illustrating the way that Greek mathematical texts have come down to us by looking first at perhaps the most famous example, Euclid's Elements, and Archimedes' palimpsest, with references and other related web sites.
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- How Far Is It? - Bali Online
This service uses data from the U.S. Census and a supplementary list of cities around the world to find the latitude and longitude of two places, and then calculates the distance between them (as the crow flies). It also provides a map showing the two
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- How Many? A Dictionary of Units of Measurement - Russ Rowlett; University of North Carolina at Chapel Hill
A dictionary of both metric (SI) and English measurement units, with history, links to related sites, and a bibliography.
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- How round is your circle? - Bryant, John; and Sangwin, Chris
These photos and QuickTime movies accompany the book How Round Is Your Circle? Where Engineering and Mathematics Meet. See, in particular, the illustrations of how to drill a square hole. Sections include Falling apart (the Pythagorean Theorem, Dudeney's
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- How Stuff Works
A site devoted to explaining the world in a way that is both informative and entertaining. Content is designed to be understandable for people of all ages and education levels.
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- How Things Work - Louis A. Bloomfield
An archive of answers to physics questions sent by readers. "Think of this site as a radio call-in program that's being held on the WWW instead of the radio. If you ask how something works, using the button below, I'll try to provide an explanation. You'll
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