- High School Problem of the Week - Department of Mathematics, Southwest Missouri State University (SMSU)
Word problems in number theory, logic, algebra, analytic geometry, and other topics. Read the solution to the most recent problem, and archives of previous problems and their answers.
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- Hilbert's Tenth Problem - Massachusetts Institute of Technology (MIT)
This directory contains files related to Yuri V. Matijasevich's book "Hilbert's Tenth Problem" (MIT Press, 1993), which is the English translation of "Desyataya Problema Gilb'erta" (Nauka, Moscow, 1993). All files in this directory are available via anonymous
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- Hilbert's Tenth Problem - Russian Academy of Sciences
A page to promote research connected with the negative solution of Hilbert's Tenth Problem and developed techniques, which have applications in the theory of algorithms, algebra, number theory, model theory, proof theory and in theoretical computer science.
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- Ho Math and Chess Learning Centre, Vancouver, BC, and affiliates - Frank Ho
Site features downloadable math and mathematical chess materials, information on the centers and the classes they offer locally, and franchising details for the centers.
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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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- 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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- Hope's Mathematics Books for Teachers - Hope Martin
A collection of math activity books to order for elementary, middle school, and high school students, written by Hope Martin: What Year am I?: A Math Warm-up a Day, Multiple Intelligences in the Mathematics Classroom, 730 Daily Math Warm-ups, Integrating
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- Ian's Proof that Infinity = -1 - Don Cohen (The Mathman)
Young children try writing the sum of an infinite series as a fraction. What's wrong with Ian's argument? Newton and Euler and those other mathematicians had made similar mistakes with infinite series! The problem is that the infinite series converges
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- Ideas, Concepts, and Definitions (MegaMath) - Nancy Casey; Los Alamos National Laboratory
A glossary and reference page to help students learn more about mathematics and find out what some of the special words mean. Topics: Doing What Mathematicians Do; Truth and Proof; Mathematical Objects and Their Properties; Modeling and Abstraction; Algorithms;
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- Ido Efrat
A mathematics professor at Ben Gurion University of the Negev in Israel. Site includes the syllabi for current courses and a list of Efrat's publications in abstract algebra, especially group theory. Some articles may be downloaded in PDF or DVI format.
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- Implementations of Extended LLL - Wilberd van der Kallen
Notes, including implementations of the extended LLL in Mathematica and GP/PARI, and links to home pages of mathematicians doing recent relevant work.
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- Index Using Mathematics Subject Classification (MSC) - Dave Rusin; The Mathematical Atlas
The index pages at this site are organized according to the Mathematics Subject Classification (MSC) scheme. (This is the scheme developed by the American Mathematical Society and Zentralblatt für Mathematik.) General headings include Foundations;
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- Inexplicable Secrets of Creation - M. Watkins
Quotations, curiosities, and explanations on the connections between physics and number theory.
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- Infinite Primes - Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about whether there is an infinite number of primes, and the frequency of their distribution.
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- Integer Relations - Centre for Experimental and Constructive Mathematics (CECM)
A program for determining linear integer dependence among numerical constants and finding the minimal polynomial of an approximate algebraic number. Interactive or via email.
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- Integer Sequences and Arrays - Clark Kimberling; Dept. of Mathematics, Univ. of Evansville, Evansville, IN
Certain seemingly simple sequences of integers baffle the best mathematicians. Other sequences, less baffling, exhibit patterns - or absence of patterns - whose appeal shines beyond whatever applications these sequence might find outside mathematics.
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- International Conference on Technology in Collegiate Mathematics (ICTCM) (Mathematics Archives) - Przemyslaw Bogacki, Managing Editor
Home site of the Electronic Proceedings of the International Conference on
Technology in Collegiate Mathematics (EPICTCM), an annual conference sponsored by Addison-Wesley (on this site are conferences from 1994-1998). Papers are presented through an
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- International Mathematical Olympiad (IMO) / Olympiade internationale de mathématiques (OIM)
The World Championship Mathematics Competition for High School, which takes place each year in a different country. Its membership (by invitation only) has gradually expanded to over seventy countries from all five continents. Latest competition results;
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- International Mathematical Virtual Institute - DMBL (Scientific Society of Mathematicians Banja Luka)
The International Mathematical Virtual Institute (IMVI) promotes communication, cooperation and collaboration in the Balkans, elsewhere in Europe, and worldwide on research in (pure and applied) mathematics, history and philosophy of mathematics, and
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- Internet Math Challenge - Dept. of Mathematics, University of Idaho
A weekly K-12 math challenge from the math department at the University of Idaho, discontinued in 2004. Past puzzles and solutions are available.
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- Internet Problem Solving Contest - Faculty of Mathematics, Physics and Informatics, Comenius University, Slovak Republic
The Internet Problem Solving Contest (IPSC) is a computer programming contest for teams consisting of up to three people. Teams participate via the Internet. Each problem consists of a problem description and two input data sets. Questions tend towards
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- An Introduction to Continued Fractions - Ron Knott
Continued fractions are just another way of writing fractions. They have some interesting links with a jigsaw-puzzle problem of splitting a rectangle up into squares and also with one of the oldest algorithms known to mathematicians - Euclid's Algorithm
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- Introduction to Number Theory - X.-D. Jia; Southwest Texas State College
Lecture notes (1996): Factorization of Integers; Congruences; Quadratic Residues; Continued Fractions.
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- An Introduction to the Theory of Numbers - Leo Moser
An introductory survey of compositions and partitions, arithmetic functions, distribution of primes, irrational numbers, congruences, Diophantine equations, combinatorial number theory, and geometry of numbers. Also with exercises and unsolved problems.
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- Investigations in Mathematics - Eric S. Rowland
Open-ended problems for high school and college students to "approach creatively and in their own way": Pascal's simplices ("What is the generalization of Pascal's triangle?"), Pythagorean triples, regular polygons ("What is the area of a regular polygon
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- Is All About Math - Julio Cesar de la Yncera
Main site for a mathematical Video PodCast that will cover a big range of topics in college-level mathematics accessible to the majority of the students with some mathematical inclinations. The Video PodCast will also try to be inspirational for the non-mathematically
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- Is Mathematical Teaching a Function of Time? - Andrej and Elena Cherkaev, eds.
A page of math humor, including definitions, anecdotes, math education jokes, theorems, puns, limerics, and links.
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- James B. Calvert
Essays on a wide variety of topics, including mathematical, by an Associate Professor Emeritus of Engineering, University of Denver: The Beautiful Theory (The analytical mechanics of Euler, Lagrange, Hamilton and Jacobi, key to Relativity and Quantum
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- janko.at - Angela and Otto Janko
Puzzles, games, and Java applets on logic, number, and chess. See also the Jankos' Retrograde Analysis Corner and analyses of legal moves in chess.
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- Jeffrey C. Lagarias
A member of the University of Michigan Department of Mathematics. List of publications, with many available for download in PostScript format; Lagarias' research interests include Number Theory, also Computational Complexity Theory, Cryptography, Discrete
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- Jim Loy's Mathematics Page - Jim Loy
This is an informal collection of articles on many different mathematics problems. Topics include Algebra, Geometry, Calendars, Number Theory, and reviews of mathematics-related books. See also Jim Loy's Puzzle Page and Jim Loy's Logic Page.
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- Joe's Number Theory Web - Joe K. Crump
Methods for factoring large numbers, exploration of 2^n mod n, equal sums of like powers, tridigital squares, balanced bases, and Weiferich primes.
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- Jones and Bartlett Publishers
Publisher of textbooks, professional and reference books, and multimedia products in a variety of disciplines including mathematics. Publications range from introductory to graduate level in the college market and from practitioners to specialists in
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- Joseph H. Silverman
Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves. Silverman's research interests include number theory, elliptic curves, arithmetic and Diophantine geometry, number theoretic aspects
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- The Journal of Inquiry-Based Learning in Mathematics - W. Ted Mahavier, Managing Editor
Classroom-tested, professionally refereed, and freely downloadable university course notes intended for course design or independent study. Since the online publication of its first issue, in March of 2007, the Journal of Inquiry-Based Learning in Mathematics
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- Keith Numbers - Mike Keith
A Keith number is an n-digit integer N with the following property: If a Fibonacci-like sequence (in which each term in the sequence is the sum of the n previous terms) is formed, with the first n terms being the decimal digits of the number N, then N
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- Kolyvagin's Application of Euler Systems to Elliptic Curves - Kedlaya, Osserman; Massachusetts Institute of Technology
A semester-long seminar studying Kolyvagin's application of Euler systems to elliptic curves (i.e., to the conjecture of Birch and Swinnerton-Dyer), focused around the expository paper Kolyvagin's Work on Modular Elliptic Curves by Professor Gross. Includes
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- La pagina della classificazione matematica: MSC2000 librerie H-volumi - Antonella De Robbio, Alberto Marini, Dario Maguolo
Italian version of Mathematics Subject Classification version 2000 (MSC2000); different points of views, with a comparison of MSC1991 and MSC2000. Includes a description of the project, links to relevant pages, and a preprint of "La versione Draft2000
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- La Quinta Operación Matemática (The Fifth Arithmetical Operation) - Domingo Gómez Morín
Simple arithmetic methods (no derivatives, no decimals, no cartesian system) for solving roots that also include the most advanced algorithms (Newton, Halley, Bernoulli)of analytic geometry and infinitesimal analysis. For Morin's more recent numerical
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- Lava Lamp Randomness - Ivars Peterson (MathTrek)
Researchers have come up with a novel application of the mesmerizing movements of the lava lamp's globules. They use them as the starting point for generating a sequence of random numbers. Called lavarand, the random-number generator is the tongue-in-cheek
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- The Learning Box: K-5 Math Software
Developer of elementary mathematics software for students in grades K-5. Featured titles include The Manipulative Math Series: Logic Blocks, Base Ten Blocks, and the Peg Board (learning about sets). Shockwave Flash activities include Flowering Fractions
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- Lehmer's Problem - Michael Mossinghoff; Dept. of Mathematics, UCLA
A page that summarizes what is known about Lehmer's conjecture. It includes descriptions of algorithms, histories of searches performed, and various lists of polynomials with small measure. With slides from an introductory talk on Mahler's measure and
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- Leibniz's 333-year-old problem solved - Vladimir Sotirov
Arithmetizations of the traditional syllogistic. The first Leibniz trial to arithmetize the Aristotelian syllogistic explored divisibility of integers; it was unsuccessful. The second one used pairs of co-prime numbers and was successful, as Slupecki
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- Les Hexamys - Raymond Pouzergues
Les Hexagrammes Mystiques de Pascal: a theorem with which one can make almost all the problems of geometry. In French.
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- Lesson Plan Search - Google
Free math lesson plans that make use of Google Earth, Google Calendar, Exploring Computational Thinking, and other products and projects of the search engine company: Telling time & Google Calendar; Human Dimensions Project; Median of Latitude Data;
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- Lesson Plans: Mathematics - The Educator's Reference Desk
K-12 lesson plans categorized by subject (Algebra, Applied Math, Arithmetic, Careers, Functions, Geometry, History, Measurement, Number Sense, Number Theory, Patterns, Probability, Process Skills, and Statistics), as well as links to internet sites featuring
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- Lessons, Tutorials, and Lecture Notes (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
An extensive, alphabetical, annotated listing of sites providing course material for teachers and students of mathematics. Includes topics from almost every field of math, at every level: K-12, college and beyond. Algebra; Analysis; Arithmetic; Calculus;
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- L-Functions
The starting point for the L-functions site, with qualitative and quantitative information about L-functions from the Selberg class S. The site attempts to list as many properties and features of specific L-functions as possible, and also to allow for
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