 Goldbach's Prime Pairs  Ivars Peterson (MathTrek)
Prime numbers serve as building blocks in the mathematics of whole numbers. Evenly divisible only by themselves and one, primes are a rich source of speculative ideas that mathematicians often find simple to state but difficult to prove. The Goldbach
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 The Golden Section Ratio: Phi  Ron Knott
Contents: What is the Golden Ratio (or Phi)?  A simple definition of Phi, A bit of history; Phi to 2000 decimal places; Phi and the Fibonacci numbers  Another definition of Phi, A formula for Phi using a continued fraction, Rational Approximations
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 Got Math?  Dave Radcliffe
Blog by a community college math instructor and selfdescribed "GeoGebra fanatic." Posts, which date back to December, 2010, have included "Stacking cannonballs," "Counting with Integrals," "A Paradoxical Dissection," "Gelfand's Question," "Imagining
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 Greek Mathematics and its Modern Heirs  SunSITE's Vatican Exhibit; Library of Congress
Classical roots of the scientific revolution. An essay on the history of Greek Math, with sample math problems. Covers Euclid's Elements and Optics, Archimedes' Works, Piero della Francesca's De quinque corporibus regularibus, and links to Ptolemy's Geography
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 Grothendieck Circle  Leila Schneps et al.
Alexandre Grothendieck's published articles, unpublished research, letters, and translations: The Cohomology Theory of Abstract Algebraic Varieties, Standard Conjectures on Algebraic Cycles, Hodge's General Conjecture Is False for Trivial Reasons, Groupes
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 HAKMEM  Beeler, Gosper, Schroeppel; Artificial Intelligence Laboratory, MIT
A list of math and computerrelated problems, unsolved in 1972 when the list originated, compiled "with the hope that a record of the random things people do around here can save some duplication of effort  except for fun." Topics include: Geometry,
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 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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 Images des Mathématiques  Fabrice Planchon, EditorinChief
Des articles sur la recherche mathématique contemporaine — en particulier, française — et le métier de mathématicien. Hébergé par le Centre National de la Recherche Scientifique (CNRS).
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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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 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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 Infinite Series  Public Broadcasting Service
Math videos that mix graphics with narration from mathematician Kelsey HoustonEdwards. Clips, which date back to November, 2016 and run seven to seventeen minutes in length, have included "Singularities Explained," "The Mathematics of Quantum Computers,"
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 The Institute for Computational and Experimental Research in Mathematics  Jill Pipher, lead PI
"Supporting and broadening the relationship between mathematics and computation" by expanding the use of computational and experimental methods in mathematics; supporting theoretical advances related to computation; and addressing problems posed by the
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 Institut Henri Poincaré
The "embassy" of French mathematics and theoretical physics. Founded in 1928, the Institut Henri Poincaré (IHP) hosts quarterly thematic programs; doctoral courses; seminars such as Mathematic Park, a biweekly miniclass for high school and university
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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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 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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 John Sims
An interdisciplinary conceptual artist, Sims creates works in the areas of visual mathematics, art, text, and political activism. His projects have included the Quilted Manifesto and MathArt Projects (MAP). The former math doctoral student has also curated
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