- Project Welcome (Web Educator's Library Collection of Mathematical Explorations) - MAA (Mathematical Association of America)
Interactive mathematical programs in a newly developed, Java-based interface.
Download online or offline versions of the player. Twenty lessons, with summaries, include "Best Linear Fit," "Limits of Functions," "Piecewise Functions," "Nonlinear Equations,"
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- PROMYS: The Program in Mathematics for Young Scientists - Boston University Department of Mathematics and Statistics
PROMYS encourages ambitious high school students to explore the creative world of mathematics. Each summer, approximately 60 high school students from around the country gather on the campus of Boston University for six weeks of rigorous mathematical
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- A Proof of the Full Shimura-Taniyama-Weil Conjecture - Henri Darmon
Download an article in PDF-format on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor.
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- Proofs in Mathematics - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A discussion of the value of proofs in the classroom, followed by a collection of proofs classified as either simple or charming. Simple proofs: Number of vowels in a Lewis Carroll game; Pigeonhole Principle; Number of X's and O's; Coloring points in
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- Publications of François Morain
Links to papers on elliptic curves: Primality proving; Complex multiplication; Pseudoprimes; Elliptic curves over finite fields; Discrete logarithm over algebraic curves; Character sums; Miscellaneous. Also in French.
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- Pure Maths, Impure Thoughts - David A. Santos, Community College of Philadelphia
Includes lecture notes in elementary algebra, linear algebra, number
theory, probability, a problem seminar, plus review material in
precalculus and multivariable calculus. Selections available en castellano.
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- The Puzzle TOAD - Tom Bohman, Oleg Pikhurko, Alan Frieze, and Danny Sleator, School of Computer Science, Carnegie Mellon University
Send the authors your solutions to their challenging graph theory, number theory, geometry, discrete mathematics, logic, and other puzzles. Re-visit periodically to see the latest question, and download PDFs of solutions of past problems.
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- Pythagorean Triples - H.B. Meyer
A Javascript calculator for pythagorean triples. In English and German.
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- Pythagorean Triples - Math Forum, Ask Dr. Math FAQ
What is a Pythagorean triple? What do Pythagorean triples have to do with Fermat's Last Theorem?
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- Pythagoreisches Tripelprogramm - Heinz Becker
A Java applet that reads a and gives integer solutions of a^2+b^2 = c^2. In German and English.
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- Pythagoräische Tripel (Pythagorean Triplets) - H. B. Meyer
A calculator for Pythagorean triplets, making visible the one-to one correspondence between triplets and certain pairs of relatively prime numbers, and an interesting correspondence with certain sequences of letters A, B, or C. (Javascript is required.)
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- The Quadray Papers - Kirby Urner, 4D Solutions
An Introduction to Quadrays. The game of quadrays starts with a regular tetrahedron and four rays pointing from its center to the four corners; these or any ray built from these rays are labelled 4-tuples - i.e. four numbers separated by commas and enclosed
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- Quandaries and Queries (Math Central) - Dept. of Mathematics and Statistics, University of Regina, Saskatchewan, Canada
A math Question and Answer area for K-12 students and teachers, with searchable archives of past questions and answers.
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- Query Interface to the Contents of the Mathematics Archives - University of Tennessee, Knoxville (UTK)
Search software, abstracts and reviews; teaching materials, etc. by keyword.
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- Rama Math Help - Marty Schultz
Pages to help people solve the alien number machines in the Sierra game Rama, with a lesson in base 8 and 16 (and 10) and base conversions, useful for others, too. Includes a review of base 10 and an overview of bases 8 and 16. There is also a link to
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- The Ramanujan Journal - Frank Garvan
This journal publishes research articles in the areas of mathematics influenced by Srinivasa Ramanujan, specifically number theory. Potential topics include the circle method and asymptotic formulae, diophantine analysis including irrationality and transcendence,
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- The Real Y2K Problem (Math Chat) - Frank Morgan, MAA Online
Solution to the challenge: Every year in the millennium from 2000 to 2999 can be represented as the sum of consecutive integers, except one year. Which year cannot be represented as the sum of consecutive integers? New challenge: Where do you think you
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- Reciprocity Laws - Franz Lemmermeyer
Reciprocity Laws. From Euler to Eisenstein has just appeared in Springer-Verlag Heidelberg. It is an updated version of Chapters 1 - 11 as they used to be available at this site; the table of contents with ps and pdf files of Chapter 11 (corrected version)
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- Recommended Mathematics Literature - International Mathematics Olympiad (IMO)
A page of readings recommended by the International Mathematics Olympiad in association with Amazon.com Books. Major sections include: Problem Solving; Collections of Mathematical (Competition) Problems; Anthologies and Surveys; Number Theory; Analysis;
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- Recreational Mathematics Topics - Steven Dutch; University of Wisconsin - Green Bay
Contents: Symmetry, Crystals, Polyhedra and Tilings: an extensive, illustrated collection including reflectional and rotational symmetry; repeating patterns in two and three dimensions; building crystal forms with unit cells; regular, Archimedean, radial,
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- Resource Material - Spencer, Chan; Univ. of Toronto Mathematics Network
A collection of resource material for use in classes or extracurricular activities in high schools: answers, explanations, and expositions of some common but deep math questions. In the process of answering three basic questions, this area delves into
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- The Return of Zeta - Ivars Peterson (MathTrek)
The Riemann hypothesis is widely considered the outstanding unsolved problem in mathematics. Generations of mathematicians have been lured into hunting for a proof of this celebrated conundrum. All have so far failed. Lately, however, a cautious optimism
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- Riemann Zeta Function and Hydrogen Spectrum - Ivan Iliev
Analytic and numerical evidence, as well as conjectures and ideas, that connect the Riemann zeta function with energy-related concepts. Iliev's manuscript derives a Zeta Rule for the definition of the hydrogen spectrum, presents a modification of the
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- RngPack - Paul Houle
A pseudorandom number generator package for Java. Pseudorandom means that the "random" numbers are generated by a deterministic mathematical process, not by a fundamentally random physical process such as radioactive decay or Johnson noise. RngPack contains
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- Rolf's Calculator - Rolf Howarth
A fully featured JavaScript scientific calculator that includes trig functions and logarithms, factorials, 12 levels of parentheses, logs to base 2, bitwise logical operators, hex, octal, binary and ascii display.
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- The Roman Press, Inc. - Steven Roman
Home page of a California mathematics professor, including research articles, books and textbooks, and software.
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- Russian Peasant Multiplication - Math Forum, Ask Dr. Math FAQ
What is Russian peasant multiplication? How do I use it? Why does it work? How is the Russian peasant algorithm connected to binary numbers?
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- Ruth-Aaron Pairs and an Algorithm - Joe K. Crump
A page on Ruth-Aaron numbers and a novel algorithm capable of generating
very large ones (200+ digits).
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- Scientific Applications of Linux - Herng-Jeng Jou and Kachina Technologies, Inc.
SAL (Scientific Applications on Linux) is a collection of information and links to software for scientists and engineers. Math categories include computer algebra systems, array-oriented and linear algebra systems, statistics, and number theory. Numerical
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- Scientific Applications on Linux (SAL) - Kachina Technologies, Inc.
A collection of information and links to software of interest to scientists and engineers. The broad coverage of Linux applications also benefits the whole Linux/Unix community. See, in particular, Mathematics.
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- Search Ask Dr. Math Archives - The Math Forum
Search by keyword K-12 math questions answered by volunteer 'math doctors' in the U.S. and abroad.
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- Search for Math on the Internet - The Math Forum
Keyword search of all searchable archives, Newsgroup archives, Dr. Math archives, Problems of the Week, Internet Math Library, or any combination thereof.
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- Search New York Journal of Mathematics (NYJM) - Department of Mathematics and Statistics, State University of New York (SUNY) at Albany
Search the contents of all years of the journal, or search individual years, 1994-present.
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- Series Math Study - Tue N. Vu
Formulas with proofs for many different series. Site encourages readers to submit their own contributions.
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- Shack's Math Problems - Michael Shackleford
Pages of math problems ranging from basic math to differential equations. Each problem comes with a difficulty rating from one to four stars, roughly a measure of how much time it took Shackleford to do the problem. Includes answers and, usually, solutions.
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- Shai Simonson
Shai Simonson is an associate professor of computer science and mathematics at Stonehill College. The site contains the article "How to Read Mathematics," which uses the probability of two people having the same birthday as an example. The site also
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- SHAREWARE.COM - CNET, Inc.
Search more than 250,000 files in the former Virtual Software Library: first select the platform of your choice, then enter the word or filename to search for. You may also search for files in a specific archive here by first selecting the archive of
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- Sieve of Eratosthenes - Program in C
A class assignment for Mathematics 216: Introduction to Mathematical Computation (with C) at the Univ. of Utah. The new part of the C language learned was the array. Problems: Design a program to make a list of primes less than N = 100 using Eratosthenes'
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- SIMATH - Marc Conrad
A computer algebra system, especially for number theory. Try out the online version of the SIMATH calculator simcalc; a more detailed overview is available as a .dvi file or you can download the TeX-Source of this file.
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- simpsonsmath.com - Sarah J. Greenwald and Andrew Nestler
The animated sitcom The Simpsons "contains over a hundred instances of mathematics, many designed to expose and poke fun at innumeracy," which make it "an ideal source of fun ways to introduce important concepts to students, and to reduce math anxiety
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- Sites with Problems Administered by Others - Math Forum
Problems of the week or month: a page of annotated links to weekly/monthly problem challenges and archives hosted at the Math Forum but administered by others, and to problems and archives elsewhere on the Web, color-coded for the level(s) of the problems
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- A Small Puzzle - Joe Fields
The site offers a visual proof that the sum of the first n consecutive odd numbers is n^2, the "L"-decomposition.
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- Smarandache Notions - J. Castillo
A journal for papers related to the work of Florentin Smarandache, who in the 1960s proposed some new geometries: Non-Geometry, Counter-Projective Geometry, Anti-Geometry, and Paradoxist geometry, which would generalize and unite Euclid, Lobachevsky/Bolyai/Gauss,
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- Software for Algebra and Geometry Experimentation - William Stein et al.
Free and open software for researching and teaching algebra, geometry, number theory, cryptography, and more. SAGE performs group theory and combinatorics (using GAP), symbolic computation and calculus (Maxima), commutative algebra (Singular), number
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- Software (Mathematics Archives) - University of Tennessee, Knoxville (UTK)
An extensive collection of links to software, with abstracts and reviews, organized in four different ways: by platform (Macintosh, MSDOS) and then by subject; interactive texts (using a commercial package such as Mathematica, Maple or Mathkit to interact
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- The solving of Fermat's Last Theorem - Karl Rubin; Ohio State University Distinguished Lecture
Slides for a talk that tells the story of Fermat's Last Theorem for a general audience, including the history of the problem, the story of Andrew Wiles' solution and the excitement surrounding it, and some of the many ideas used in Wiles' proof.
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- Some Interesting references about LLL - François Koeune
Papers on the LLL algorithm and its applications, divided into: Understanding LLL; LLL as a Tool; Lattice-based Cryptosystems; Refinements and Variants of LLL; and Interesting links.
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- Some Materials for Discrete Mathematics - E. Lee Lady, University of Hawaii
Files in PDF, DVI, and Postscript format. Contents include: an algorithm for solving linear Diophantine equations, the Chinese remainder theorem, mathematical induction and recursive algorithms, Change of base to Cantor representation, Dijkstra's algorithm
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- sortedsums - D. J. Bernstein
A collection of tools for enumerating small solutions to certain types of Diophantine equations. Includes links to the latest published sortedsums package, and to a paper explaining the algorithms used.
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- S.O.S. Mathematics - Dept. of Mathematical Sciences, Univ. of Texas at El Paso
Internet courses/tutorials to help students do homework, prepare for a test, or get ready for a class. The material presented here reviews the most important results, techniques and formulas in college and pre-college mathematics. The learning units are
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