 The Harmonic Series  Don Cohen (The Mathman)
Students are to write a program on a calculator or computer to find the sum. A sample problem from Chapter 5 of Don Cohen's worksheet book.
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 Harold Reiter's Home Page  Harold Reiter, Department of Mathematics, University of North Carolina at Charlotte
Freely downloadable puzzles and problems from the founder of teachers circles and math clubs in Charlotte and Mecklenburg, longtime writer of MathCOUNTS questions, and member of the ETS/College Board CLEP (CollegeLevel Examination Program) Precalculus
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 Helmut Prodinger
Helmut Prodinger researches analysis of algorithms, combinatorics, tree enumeration, and number theory. Many of his papers on these subjects are available online in PostScript, .dvi, and/ or TeX form.
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 Hexadecimal Headquarters  Intuitor
A comparison of base ten and base sixteen (hexadecimal), discussing why we should switch to hexadecimal. The site includes a hex clock, and explanations of both base ten and hexadecimal.
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 High Rank Elliptic Curves with Prescribed Torsion  Andrej Dujella, Zagreb
The highest rank currently known for an elliptic curve over Q with each of
the possible torsion groups.
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 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 ToomCook, or Toom3 algorithm, a method of multiplying two large integers. Toom's Englishlanguage mathematics articles, published in journals such as the Journal of Statistical Physics, include "NonErgodic
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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 Warmup a Day, Multiple Intelligences in the Mathematics Classroom, 730 Daily Math Warmups, 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 Special Functions & Applications  Dr. Meenakshi Rana, Convener
The 2014 International Conference on Special Functions & Applications (ICSFA) is the XIIIth annual conference of the Society for Special Functions and their Applications (SSFA). Hosted by the School of Mathematics and Computer Applications, Thapar
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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 AddisonWesley (on this site are conferences from 19941998). 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 K12 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 jigsawpuzzle 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
Openended 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 collegelevel mathematics accessible to the majority of the students with some mathematical inclinations. The Video PodCast will also try to be inspirational for the nonmathematically
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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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 Jeremy Kun
Primers, galleries of computer programs and math proofs, and more befitting "a place for elegant solutions." Kun, a mathematics PhD student at the University of Illinois in Chicago with a background in computer science, has also blogged since September,
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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 mathematicsrelated 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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 Journal de Théorie des Nombres de Bordeaux  Institut de Mathématiques de Bordeaux
Bilingual journal dedicated to number theory, begun as a biannual publication in 1989 before publishing three issues yearly in 2003. Freely download PDFs of articles, learn more about the Journal de Théorie des Nombres de Bordeaux (JTNB), and find
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 The Journal of InquiryBased Learning in Mathematics  W. Ted Mahavier, Managing Editor
Classroomtested, 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 InquiryBased Learning in Mathematics
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 Journal of Mathematics and Computer Science  M.T. Grabiec, Chief Editor
Research "on the development of theories and methods for computer and information sciences; the design, implementation, and analysis of algorithms and software tools for mathematical computation and reasoning; and the integration of mathematics and computer
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 Keith Numbers  Mike Keith
A Keith number is an ndigit integer N with the following property: If a Fibonaccilike 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 semesterlong seminar studying Kolyvagin's application of Euler systems to elliptic curves (i.e., to the conjecture of Birch and SwinnertonDyer), 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 Hvolumi  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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