 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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 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 randomnumber generator is the tongueincheek
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 The Learning Box: K5 Math Software
Developer of elementary mathematics software for students in grades K5. 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 333yearold 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 coprime 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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 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: K12, college and beyond. Algebra; Analysis; Arithmetic; Calculus;
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 LFunctions
The starting point for the Lfunctions site, with qualitative and quantitative information about Lfunctions from the Selberg class S. The site attempts to list as many properties and features of specific Lfunctions as possible, and also to allow for
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 Linear Diophantine Equations  Stanley N. Burris; University of Waterloo
A calculator for solving Diophantine equations of the form ax + by = c.
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 Lower Bounds for Solving Linear Diophantine Equations on Random Access Machines  Meyer auf der Heide, Friedhelm
Abstract: a lower bound for the complexity of solving linear Diophantine equations such as knapsack problems on an idealised computer. From the Journal of the ACM, Vol.32, No. 4 (Oct. 1985), pp. 929937.
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 MAA Bookstore  Mathematical Association of America
A searchable list of books, with descriptions, in the following categories: Algebra; Analysis; Applied Mathematics; Calculus; Career Information; Computing and Computers; Elementary Models; Games, Puzzles, and Popular Exposition; Geometry and Topology;
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 Mad Maths  Philippe Chevanne
Word problems, with short solutions and "details" that reveal steps in solving number theory, logic, geometry, and more. Scripts include original JavaScript about continued fractions, Apollonius circles, Pythagorean triples, decompositions of sums of
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 Magic Tesseracts  Ivars Peterson (MathTrek)
"It's natural to extend the concept of magic squares to three and four dimensions... In four dimensions, the equivalent of a cube is a hypercube, or tesseract. A tesseract has 16 vertices, 32 edges, 24 squares, and 8 cubes... John R. Hendricks, a retired
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 Magische Quadrate  Paul Heimbach
Techniques for creating 4x4 and larger magic squares using masks that define areas where a specific number will or will not be added (Jupiter squares and Merkur squares, with many examples of each); art based on magic squares and other mathematical models;
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 Maplesoft: Math & Engineering Software  Waterloo Maple Inc.
Maplesoft is a leading developer of interactive mathematical software such as Maple. Its suite of products harnesses the power of mathematics to provide industry, government and academia with technical productivity tools.
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 The Mark of Zeta  Ivars Peterson (MathTrek)
How mathematicians delve into the mysteries of prime numbers, the relation Euler discovered between the zeta function and prime numbers, and the Riemann hypothesis: Riemann found that his zeta function is zero for the values 2, 4, 6, and so on, and
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 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 72node Intel Paragon.
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 mathbabe  Cathy O'Neil
"Exploring and venting about quantitative issues." Blog posts, which date back to June, 2011, have included "KNearest Neighbors: dangerously simple," "Cool math books," "Women in math," "Mathematicians know how to admit they're wrong," and "Why log returns?"
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 The Math Behind Numb3rs  Wolfram Research, Inc.
Wolfram Demonstrations of the mathematics behind each CBS television broadcast of the FBI crime drama series NUMB3RS, from the pilot episode through season six: Structural Corruption, Prime Suspect, Sabotage, Bettor or Worse, Soft Target, Double Down,
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 mathblag  David Radcliffe
"Musings on math and teaching" by a math instructor at a community college in Minnesota. Posts, which date back to December, 2010, have included "Counting with Integrals," "The Euclidean algorithm and modular inverses," "A property of the divisors of
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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, ondemand 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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 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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 Mathematical Calculations
Primers and JavaScript calculators for calculating continued fractions, triangle parameters, complex numbers, roots and the degree of complex numbers, the determinant of a complex matrix, and more. In Russian, with translations.
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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 easytouse 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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 Mathematically Speaking
"Thoughts and ideas about mathematics in the media, popular views of mathematics, and being a mathematician." This college professor's posts, which date back to April, 2009, have included "Crocheting and Hyperbolic Space," "Topology and the Moore Method
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 Mathematical Miniatures  Gottfried Helms
Number theory heuristics that "fascinated [the author] by their structural beauty." Download PDFs about tetration; Bernoullinumbers and the Beauty of the Pascalmatrix; 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 "MathNews"
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 Mathematical Publications  ZIB/MathNet
A page on electronic publishing in mathematics, with sections on mathematical journals and bibliographies, separated into references to Ejournals, 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  David Madore
Before organizing cryptography conferences for the École Nationale Supérieure des Télécommunications, Madore studied at France's École Normale Supérieure (ENS). See, in particular, his Javascript hyperbolic maze,
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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 (prealgebra, algebra/graphing/statistics, geometry, number theory, interdisciplinary); and high school (prealgebra,
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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. See also Penn State's page of preprints.
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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 mathematicsrelated 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 PanAfrican 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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