 Nonlinear Dynamics (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
Links to sites on nonlinear dynamics, chaos and turbulence studies, complex systems and visualization, continued fractions and chaos, dynamical systems and technology, dynamics and stability of systems, with indications of level and type of resource offered.
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 Nonstandard Analysis and the Hyperreals  Jordi Gutierrez Hermoso; Math Forum, Ask Dr. Math FAQ
An essay introducing the most basic ideas of nonstandard analysis and the hyperreal number system. Contents: A Very Brief History of AlmostNothing and MorethanEverything; The Hyperreal WishList; Construction of the hyperreal numbers; Hyperreal arithmetic;
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 NOVA Online: Hunting the Hidden Dimension  Public Broadcasting System (PBS)
The PBS television series NOVA has produced a program about fractals, their impact on the world of mathematics, and the way they're shaping our understanding of nature. In addition to the program itself (in five chapters), the website offers a program
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 NOVA Online: The Proof  WGBH, Public Broadcasting System (PBS)
For over 350 years, some of the greatest minds of science struggled to prove what was known as Fermat's Last Theorem  the idea that a certain simple equation had no solutions. This site includes an interview with Andrew Wiles (the man who spent seven
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 NSDL Middle School Portal: Math Pathway  NSDL; the Ohio State University
A middle school portal into NSDL's math resources, browsable by topic, or choose a preselected set of resources on given subjects.
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 NT Number Theory (Front for the Mathematics ArXiv)  Univ. of California, Davis
Number Theory preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Numb3rs Math Activities  Cornell Department of Mathematics
Notes and activities on the mathematics behind each CBS television broadcast of the FBI crime series NUMB3RS, from the pilot episode through season five: Uncertainty Principle, Sniper Zero, Dirty Bomb, Assassin, Toxin, Backscatter, Two Daughters, Burn
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 Number Bases  Math Forum, Ask Dr. Math FAQ
What is base 10? Binary? Hexadecimal? How can you convert from one base to another?
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 Number Dictionary  Gerardis Giannis, Tsibourakis Dimitris
Enter a number to see its characteristics, such as primality, Fibonacci numbers, factorization, sum of first primes, sum of two squares, triangular numbers, roots, perfect numbers, and more...
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 The Number Empire  Vitalii Vanovschi
Enter a positive integer up to 10^12, press the "Go!" button, and The Number Empire states  in yes/no format  whether you entered a prime number, a Bell number, a Catalan number, or a factorial. The same single click displays the integer written out
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 Number Gossip  Tanya Khovanova
Searchable database up to the number 10,000. Checks more than 40 fun predefined properties of numbers, and shows many original and unique properties of an input number. See also this math coach's math blog, lectures, and more from her home page.
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 Number Pi and Golden Section: the decimals occurrences are not random  JeanYves Boulay
An exploration of the occurrence of patterns of the digits in decimal representations of pi and the golden section.
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 Number Recreations  Shyam Sunder Gupta
Recreational aspects of number theory, prime numbers, and the like. Currently includes rare numbers, EPORNS (Equal Product Of Reversible Numbers), unique numbers, unlucky 13, fascinating squares, curious properties of 153, and amicable numbers (including
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 Number System  Prof. Nam Sun Wang; Univ. of Maryland, College Park, MD
A handout from a course on Computer Methods in Chemical Engineering, detailing bit and byte definitions, number system background, and conversions among bases: binary, octal, decimal, and hexadecimal systems.
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 NumberTheoretic Hacks  David Eppstein, Theory Group, ICS, UC Irvine
Simple numbertheoretic algorithms. Egyptian Fractions  algorithms and references; C++ implementation of J. H. Conway's "nimber" arithmetic; C++ fast algorithm for computing 2adic inverse; C program for rational approximation of real numbers; Interference
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 Number Theory  Alex LópezOrtiz and the Sci.Math FAQ Team
Links to information on: Fermat's Last Theorem (History of Fermat's Last Theorem; What is the current status of FLT?; Related Conjectures; Did Fermat prove this theorem?), and Prime Numbers.
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 Number Theory Calculator  Bardesane: Giuseppe Merlino
A blog with free math programs for Windows: prime numbers, twin prime pairs, Goldbach conjecture, Collatz conjecture, Fibonacci numbers, N = x^2 + y^2, modpow (A^B mod. C), primality test, prime factors, divisors number and sum, Pascal's triangle, nextprime,
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 Number Theory Centres  Keith Matthews, Dept of Math, University of Queensland, Brisbane, Australia
An alphabetical list of links to international number theory groups and research centres.
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 Number theory  Dario Alpern
A collection of calculators, tables, and articles about number theory, with an applet that is able to factor large numbers and a quadratic diophantine equation solver.
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 Number Theory Foundation
A foundation for collecting donations from supporters of number theory and disbursing them to encourage research. Supporters have directed available funds towards activities in computational and combinatorial number theory, and also towards general number
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 Number Theory: Historical things  Keith Matthews, Dept. of Math, University of Queensland, Brisbane, Australia
Biographies of past number theorists and various items of historical interest, including prizes, photos, and mathematical family trees.
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 Number Theory List  Yahoo Groups
Archives of a mailing list devoted to discussions of the serious mathematical study of the additive and multiplicative properties of positive integers including powers of integers, squares, cubes, triangular, factorial, fibonacci, composite, prime, perfect,
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 Number Theory Web  Keith Matthews, Dept of Math, University of Queensland, Brisbane, Australia
A collection of links to online information of interest to number theorists everywhere, including number theorists' home pages and departmental listings.
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 Number World  David Geistert
Key in any positive integer less than 10^15 and press the "Look up" button for properties about it: factorization, divisors, cross sum, equivalence in multiple bases, and more. Number World's math tools include an equation solver, an equation system solver,
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 Numeracy Hour Activities  Ambleside Primary School on the Web
Games designed by or with children, and interactive teaching programs to download. Games and activities include Amblegraph (create simple bar charts online); Online Calculator; Analogue Clock (a time teaching tool); Table Trees (multiplication tables);
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 Numerical Problems (Algorithm Design Manual)  Steven S. Skiena
A chapter from the Algorithm Design Manual, by Steven S. Skiena. Specific algorithms: Solving Linear Equations; Bandwidth Reduction; Matrix Multiplication; Determinants and Permanents; Constrained and Unconstrained Optimization; Linear Programming; Random
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 Numericana.com  Gérard P. Michon
The online companion of Numericana, this site contains excerpts from Michon's book, including the entire glossary of scientific terms. Browse an index with pithy summaries, browse by popularity, or search nearly two hundred of his "final answers" of readers'
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 Numericon  School of Mathematical Sciences, University of Technology, Sydney, Australia (UTS)
Mostly elementary presentations of: Numbers we've all heard of; Perfect numbers; Facts about prime numbers; Australian cricket's 25 leading allrounders; Pythagorean triples; Pi in the sky; 73939133; and Fermat's Last Theorem.
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 The Official Scoring Site of the International Mathematical Olympiad 2001  Wolfram Research
The IMO 2001 competition, for students under the age of 20 who have had no postsecondaryschool education, was held July 114, 2001, in Washington, DC, USA. Each country represented is allowed up to six participants. This site records scores and supplies
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 Olimpíada Brasileira de Matemática  Sociedade Brasileira de Matemática (SBM)
The Olimpíada Brasileira de Matemática (OBM) is a competition open to all students enrolled in Brazil's fundamental or middle studies. Browse or download archived exam problems and solutions dating back to 1997. Read news about olympiads, or the journal
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 Oliver Knill
Research, teaching, and media by this preceptor in Harvard's math department. Knill began in dynamical systems, tackling first ergodic and spectral theoretical questions, then probability theory and elementary number theory. This led to his "passion for
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 Once in a Millennium (Math Chat)  Frank Morgan, MAA Online
Challenge: The year 2000 can be represented as the sum of consecutive integers:
2000 = 398 + 399 + 400 + 401 + 402. The year 2001 can be represented as the sum of consecutive integers: 2001 = 1000 + 1001. In fact, every year in the millennium from 2000
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 OnePage Proof of Fermat: Critique (Math Chat)  Frank Morgan, MAA Online
Critique the following short proof of Fermat's Last Theorem sent in by
reader Rob Connelly. (In perhaps the biggest mathematics news of the century, Andrew Wiles recently came up with a very long and complicated proof of this 350year old problem.) Answer:
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 OnLine Encyclopedia of Integer Sequences  The OEIS Foundation Inc.
Before publishing that new sequence you have just found, you might want to check here to see if it's already been discovered. Directions for how to look up a sequence in the table, abbreviations used, sending in a new sequence; how to look up a reference
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 On the 3x + 1 Problem  Eric Roosendaal
Numerical data and some conjectures on this problem, also known as the Collatz problem or the Syracuse problem. All numbers up to 29,300 * 10^12 (~ 26 * 2^50) have been checked for convergence.
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 OpenMathText.org  David A. Santos, Alain Schremmer
OpenMathText.org is a depository of free, downloadable texts and is primarily dedicated to the specification, development, and dissemination of free, editable and downloadable mathematical texts aimed, mainly, at "just plain folk." OMTo invites registrants
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 Open Problem Garden  Matt DeVos and Robert Šámal
A collection of unsolved problems  mainly, graph theory, combinatorics, and number theory. A wiki for each open problem includes relevant bibliographical citations, importance rating, and recommendation for undergraduates. Navigate by math subject,
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 Open Problems for Undergraduates (DIMACS)  Robert Hochberg, Center for Discrete Mathematics and Theoretical Computer Science, Rutgers Univ.
A collection of open problems in Discrete Mathematics in the areas of Graph Theory; Combinatorial Geometry; Geometry/Number theory; and Venn Diagrams, currently being researched by members of the DIMACS community. These problems are easily stated, require
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 Organic Mathematics Workshop: The Proceedings  Borwein, Borwein, Corless, Jörgenson, Sinclair, eds.
Proceedings of a 1996 workshop held at Simon Fraser University, Vancouver, Canada. Speakers (top experimental and computational mathematicians); their articles, with equations, code, photos, videos, and annotations; and related resources and links. Invited
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 Organisation des nombres premiers  Mustapha Chouar
Une répartition des nombres premiers qui utilse la fonction 1+4+2 avec une représentation graphique de l'addition des carrés et une spirale.
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 Other Maths  Jon Perry
Notes, applets, and proofs on a variety of open problems and conjectures: roots of x^p, highest power of 2 that divides ab + bc + ca, a prime product paradox, consecutive integers, (n + 1)!, Collatz, nsecting a line, the first lower digit, Fibonacci,
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 Overview of "Mathematician's Secret Room"  Hisanori Mishima
Challenges to unsolved problems in Number Theory, some translated into English from the Japanese.
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 Owners of home computers join researchers in cracking problems and crunching data  Ivars Peterson  Science News Online
Owners of home computers have joined researchers in cracking problems and crunching data, searching for signs of intelligent extraterrestrial life, running large models of the world's climate, and carrying on a worldwide effort to identify recordbreaking
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 The Oxford Math Center  Emory University
Searchable notes, practice and review exercises with solutions, proofs, technology tips for TI graphing calculators, connections, examples worked at a virtual chalkboard with narration, and more resources for learning precalculus, calculus, statistics,
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 Page of Conversion (Convert It)  Ramsviks, Adler
Enter a number and press the tab key to convert among bases, tempreatures, and measures and weight.
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 Papers on the History of Mathematics  Gregory Cherlin, Rutgers University
A random selection of term papers submitted in undergraduate, onesemester courses on the history of mathematics. Topics include zero, Fermat, Euler, Newton, Euclid's proof of the Pythagorean Theorem, Fibonacci, Vieta, conic sections, mathematics at Princeton
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 Pascal's Triangle from Top to Bottom  Matthew Hubbard and Tom Roby
A comprehensive resource for the study of Pascal's Triangle. The section "Applications" addresses questions such as "What types of questions are answered by the binomial coefficients?" and "What number greater than 1 shows up most often in Pascal's Triangle?"
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 Pass Calculus  Le Site PassCalculus.com
Calculus question solution service. Solutions offered via email, phone, or fax; quotes are free; payment by credit card. Sample solutions and FAQ online.
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 Paul Erdos: An Infinity of Problems  Ivars Peterson (MathLand)
Paul Erdos died of a heart attack on Sept. 20 [1996] at the age of 83. Considered by many as one of the great mathematicians of this century and certainly one of the most prolific ever, he will be missed. For more than 50 years, Erdos wandered the globe
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 Penn State University Mathematics Department
Course home pages and instructional material; seminars, colloquia, and conferences; and subject area pages for Penn State research centers, with preprints and links to other resources on the Web: Algebra and Number Theory; Dynamical Systems; Mathematical
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