- Martinez Writings - Alberto A. Martinez
Sample the introduction from Negative Math, which shows that "unlike 2 + 2, some basic rules in mathematics were established essentially by convention.... We can make an algebra in which minus times minus is minus. And we can make another algebra in which
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- Massively Parallel Number Theory - Bob Scher, Ed Seidl
A search for counterexamples to a generalized version of Euler's conjecture using a 72-node Intel Paragon.
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- Math.com
Links to Internet math resources for students, teachers, and others, and to products from the Math.com store. Solutions include assessment, on-demand modular courses that target key math concepts, 24/7 live online tutoring, and expert answers to math
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- MathDrills - Elias and Daniel E. Saab
Math drills with randomly generated problems, with details and hints and scores kept. Types of drills include problems on distance, speed, and time; job completion; roots of polynomials; percentage word problems; arithmetic attack; fraction attack; bases;
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- The Mathematical Atlas: A Gateway to Modern Mathematics - Dave Rusin
A collection of short articles introducing the subject areas of modern mathematics, describing a few of the milestone results and topics, and giving pointers to some of the key resources where further information is to be found. The material is arranged
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- Mathematical BBS (Mathematics) - Mathematics Dept., Univ. of Ferrara, Italy
Collections of resources: Associations, Departments, Disciplines, Journals, Industrial mathematics, the mathematician. Disciplines include: Algebra; Algebraic geometry; Analysis; Applied Mathematics; Categories; Combinatorics; Complex analysis; Computational
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- A Mathematical Canvas - Kirby Urner
Urner's statements on his approach to curriculum writing and philosophy of education, as well as articles: "On Programming the Calculator," "Alien Curriculum," and "Python for Homeschoolers @ FreeGeek." Download 4D "Moodles" of courseware such as Geonumeracy
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- Mathematical Constants - Steven Finch, Clay Mathematics Institute Book Fellow
"All numbers are not created equal; that certain constants appear at all and then echo throughout mathematics, in seemingly independent ways, is a source of fascination." Indulge your fascination, or discover a new one in Finch's book. This site provides
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- The Mathematical Explorer - Stan Wagon and Wolfram Research, Inc.
Based on Mathematica technology, The Mathematical Explorer mixes text, graphics, and formulas in an easy-to-use notebook interface, offering a set of explorations for investigating some of the most fascinating topics in mathematics, from Escher patterns
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- Mathematical Gems
Brief articles include Irrationality of the Square Root of 2; The Best Card Trick; Boltzmann in Berkeley; Four of a kind and two jokers; Mathematical Paint (on Gabriel's Horn); How Many Squares, Mr. Franklin? Goldbach's Proof of the Infinitude of Primes;
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- Mathematical Induction - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A brief discussion of mathematical induction, with proof, and other examples also proven by mathematical induction, including: Splitting piles; Continued Fractions; Linear Functions; Groups of Permutations; Inequality between arithmetic and geometric
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- Mathematical Induction - José Espinosa
A page of uncommon mathematical induction problems, most closely connected with number theory. Some properties may be proved in different ways. A version in Spanish is also available.
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- Mathematical Miniatures - Gottfried Helms
Number theory heuristics that "fascinated [the author] by their structural beauty." Download PDFs about tetration; Bernoulli-numbers and the Beauty of the Pascal-matrix; Procedures for summation of divergent series using matrices; Mersenne numbers, cyclotomic
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- Mathematical Problems - Torsten Sillke
Some in German, most in English. Topics include graph theory, number theory, combinatorics (enumerations), geometry, algorithms and complexity, recreational mathematics, tiling and packing, dissections, probability, algebra, analysis. Also links to "Math-News"
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- Mathematical Publications - ZIB/Math-Net
A page on electronic publishing in mathematics, with sections on mathematical journals and bibliographies, separated into references to E-journals, General Journals and Bibliographies, and Subject Specific Journals and Bibliographies. Also Preprint Archives,
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- Mathematical Snippets - Mathematics Dept., Bellevue Community College, Bellevue, WA
Illustrated descriptions of six mathematical concepts: the Pythagorean Theorem, Archimedes' Tombstone, the Möbius Strip, the Koch Snowflake Curve, Plateau's Problem (minimal surfaces), and Counting to Infinity. Each snippet contains a very brief
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- Mathematics 574 - Selected Topics in Number Theory - Jerrold Tunnell; Rutgers University, NJ
An introduction to rational points on elliptic curves through examples of interesting elliptic curves. Download problem sets in dvi or postscript format.
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- Mathematics and Statistics: Academic Press - Elsevier
This imprint of Elsevier offers over 100 print and eBook titles in mathematics and statistics.
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- Mathematics Archives - University of Tennessee, Knoxville (UTK)
A comprehensive site for finding mathematics on the Internet; particularly strong in its collection of educational software and links to other sites of interest to mathematicians that provide access to electronic journals, preprint services, grant information,
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- Mathematics Education Partnership Program (MEPP) - National Security Agency (NSA)
Collected learning units/lesson plans for elementary school (arithmetic, data analysis, fractions, geometry, probability/patterns); middle school (pre-algebra, algebra/graphing/statistics, geometry, number theory, interdisciplinary); and high school (pre-algebra,
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- Mathematics Journals: Electronic and Printed - Mathematics Dept., Penn State University
Links to dozens of journals, from the Academic press electronic journal library to the Ulam Quarterly, and spanning printed journals from Abstract and Applied Analysis to the Zentralblatt für Mathematik. A link to the Bibliothèque Mathématique
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- The Mathematics of Fermat's Last Theorem - Charles Daney
A paper describing the math behind the proof, with links at each stage to related resources and suggestions for some recent books that provide more background. If you have read about number theory you know that Fermat's Last Theorem has been one of the
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- Mathematics Problem Challenge - William P. Wardlaw, Mathematics Department, United States Naval Academy
Challenging problems in calculus, probability, geometry, and other topics. Browse the archives for web pages and .txt files of this challenge, which ran periodically between 1998 and 2003.
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- Mathematics Related Articles - AllRefer.com
Browse mathematics-related entries from the Columbia Electronic Encyclopedia, 2003 edition. Further subjects available from the main page.
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- MatheMazier - Oluwasanya Awe
Blog about "problem solving, updates on some Olympiads, and also about Africa." Posts, which date back to October, 2012, have included "IMO 2011 Problem 2 (The Windmill Problem)," "Number of Zeros 1000! Ends With," "The Nigerian Pan-African Maths Olympiad
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- Mathenomicon.net
Online mathematical reference, covering a wide range of topics (Algebra, Analysis & Calculus, Applied Mathematics, Discrete Mathematics, Foundations of Mathematics, Geometry, History & Biography, Language & Symbols, Number Theory, Probability & Statistics,
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- MATHGYM Mathematics Training Programme - Paul Dooley
A tutorial from Australia designed to help 10-16-year-olds develop mathematical problem-solving ability, with five SETs of 20 problems typical to many math competitions. Students are given a Training Problem to solve, with necessary background theory,
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- Math Help and Online Tutoring
Email or online tutoring in many areas of mathematics as well as other subjects. Sample work and fee structure available on the site.
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- Math Images - The Math Forum @ Drexel, the National Sciences Digital Library (NSDL), and Swarthmore College
The Math Images Project aims to
introduce the public to mathematics through beautiful and
intriguing images found throughout the fields of math. The
images feature resources around the mathematics of the images,
including discussions, applets, and
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- The Math Less Traveled - Brent Yorgey
A blog "dedicated to exploring beautiful mathematics." Posts, which date back to March, 2006, have included "Proof by animation," "The Nuclear Pennies Game," "Recounting the Rationals," "Predicting Pi," "Square roots with pencil and paper," "Irrationality
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- Mathletics (Question Mark Perception) - Martin Greenhow; Brunel and Portsmouth Universities, UK
Submit answers, and receive automated evaluations with comments, on arithmetic, fractions and percentages, algebra diagnostic tests (GCSE level); elementary probability and statistics; complex numbers and number bases other than 10; handling brackets,
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- Mathlinks.info - Ronald N. Gibson, M.D.
A portal to mathematics resources on the internet; links to college-level mathematics sites, categorized.
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- Math Magic - Erich Friedman
A site devoted to original mathematical recreations. If you have a math puzzle,
discovery, or observation, you are invited to e-mail the author. You can also submit answers to the problem of the month; questions and solutions are archived. Examples include:
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- Mathology - Il portale della matematica - Nicolò Martini
Articles about algebra, analysis, calculus, topology, metamathematics, number theory, etc. In Italian.
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- Math Pages - Kevin Brown
A collection of over 600 brief articles covering a huge variety of mathematical topics. Contents include: Number Theory; Combinatorics; Geometry; Algebra; Calculus and Differential Equations; Probability and Statistics; Set Theory and Foundations; History
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- MathPages Most Wanted List - Kevin Brown
Informal notes by Kevin Brown: an elementary list of unsolved problems - elementary because no special background is required to understand them, and "unsolved" because Brown doesn't know the answers, they've been posted on the newsgroup sci.math, and
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- Math - Science Search
Science Search is a directory for scientific topics, including this subsection of Math. Individual entries include description, category, and a user rating of the site.
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- The Maths Faculty - James Harris, University of Leeds
Free podcasted lectures of UK academics speaking on topics from the UK high school curriculum and major exam boards (AQA, Edexcel, and OCR). Created by the University of Leeds with funding from the Higher Education Funding Council of England.
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- The Maths Igloo - Ian Lynagh
Contents: Pi (generating Pi and where you can get it on the 'net); Four plus five (it's nine, isn't it. Or is it? - binary, hexadecimal); All about logarithms; About the Mathematical symbol "e".
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- MathSource - Wolfram Research
An extensive electronic library of Mathematica material and notebooks, with over 100,000 pages of immediately accessible Mathematica programs, documents, examples, and more. You may browse the archive or search by author, title, keyword, or item number.
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- MathWare Ltd.
Software and books for algebra, geometry and calculus: Derive, MathPert, Scientific Notebook, Cyclone; books for use with the TI Graphing Calculators, and a book and CD for Mathematica. Also an Interactive Math Dictionary on CD-ROM with biographical entries,
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- MathWorld: Eric Weisstein's World of Mathematics - Eric W. Weisstein and Wolfram Research, Inc.
A full-text searchable, comprehensive alphabetical encyclopedia of math terms, equations, and derivations, with explanations, examples, references, and much more. Everything from Abacus to Zsigmondy Theorem. (Formerly the CRC Concise Encyclopedia of Mathematics,
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- Math WWW VL: Specialized Fields - Dept. of Mathematics, Florida State University
Links to sites for resources in specialized fields in college-level mathematics.
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- Mathzone - Angelo Mingarelli, Carleton University
Mathzone features online calculus quizzes and exams, as well as one testing "everyday math." It also offers several downloadable programs, including a Javascript applet about the 3n+1 sequence, and a demo version of software that qualitatively plots polynomials
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- Maxima: a GPL CAS based on DOE-MACSYMA
Free, open-source computer algebra software. Extensive notes for users and programmers, and a bug-reporting system, available here.
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- The Mayan Numerals - Michiel Berger
(See also the Maya Calendar page.) Instead of ten digits, the Mayans used a base number of 20. They also used a system of bars and dots as "shorthand" for counting: a dot stood for one and a bar stood for five. This page provides a table of numerals and
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- MCS Problem of the Month - California State University, East Bay
Calculus, number theory, probability and other college-level problems by Dan Jurca and his colleagues in the CSU-East Bay Math and Computer Science Department. The archive of POMs, with solutions, dates back to 1995.
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- Merlin's Magic Squares - Cut the Knot!, Alexander Bogomolny
The toy game of Merlin is not quite trivial and the mathematics is simple enough to provide an entertaining exercise in a Linear Algebra class. The original game is played on a 3x3 array of buttons that toggle between two states. The goal of the game
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- Mixed Sums of Primes and Other Terms - Zhi-Wei Sun
The webpage collects materials related to Zhi-Wei Sun's recent conjectures on mixed sums of primes and other terms which "seem more difficult than the Goldbach conjecture." Sun offers prizes for proofs and counterexamples, and invites ideas and suggestions.
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- Modes of Thinking - Cut the Knot!, Alexander Bogomolny
Mathematics is verbal for it's a language, and it is abstract for in its heart one finds proofs and axiomatizations. It is symbolic, rational, logical, and, nowadays, it is very digital. These are all indications that mathematics is firmly entrenched
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