- 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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- Steve Fulling's Home Page - Stephen A. Fulling
Courses in Foundation Coalition Freshman Calculus, linearity, and other subjects offer objectives, assignments, solutions and reports, exams, and supporting documentation such as books (.pdf, .ps, and .dvi formats). The site also includes access to the
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- Steve Mayer's Web Pages - Steve Mayer
Intended for Mayer's students at Bournemouth & Poole College: syllabi, student web pages, assignments, homework, module notes, review material for the A Level Pure Mathematics curriculum, and more, including resources for the Norwegian students he
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- Steve's Math Site
"Mathematic memorabilia" by a Phoenix, Arizona high school student: binary numbers, factorials, calculations of 2^x from x=1 to x=200+, hand calculations of pi, logarithms and one radian, 3^x from x=1 to x=100+, and more.
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- Studies In Mathematics: Web Discussion - Breindel, Clair; University of Chicago
The University of Chicago's alternative course to calculus. The first quarter is number theory, and the second quarter is geometry and symmetry. When Bryan Clair taught the courses, he covered the history of number systems, different base number systems
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- Sum of squares - Dario Alpern
An applet that decomposes any integer number up to 1000 digits long into a sum of four or less perfect squares.
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- SysteMATHics - Sigurd Andersen
Based on a discipline started by John G. Bennett, systematics is an attempt to understand the meaning implicit in number. The three areas of mathematical exploration covered are triadic numbers; n-grams, number patterns expressed graphically using the
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- Taniyama-Shimura Conjecture Proved (Math Chat) - Frank Morgan, MAA Online
A proof of the full Taniyama-Shimura conjecture, partly included in Wiles's 1994 proof of Fermat's Last Theorem, was announced last week [June, 1999] at a conference in Park City, Utah, by Christophe Breuil, Brian Conrad, Fred Diamond, and Richard Taylor,
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- Taxicab Numbers - Simon Plouffe
A list of the smallest number that can be expressed as a sum of two positive cubes in n different ways, for n = 1 through 5.
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- Tewodros Amdeberhan's Electronic Headquarters
Tewodros Amdeberhan studies combinatorics, number theory, special functions, partial differential equations, computer algebra, algorithmic proof theory, and harmonic analysis. His articles on these topics, as well as some unpublished musings, are available
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- Things Impossible - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Essays on impossible things, including trisecting an angle, doubling a cube, squaring a circle, moving pegs five places in one direction (via checker-jumps), finding the center of a given circle with the straightedge alone, representing the square root
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- Three Years of Computing: Final Report On The Palindrome Quest - John Walker
A 1990 report on computations on the 196 problem: "Pick a number. Reverse its digits and add the resulting number to the original number. If the result isn't a palindrome, repeat the process. Do all numbers in base 10 eventually become palindromes through
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- Thue Equations - Clemens Heuberger
A special family of equations F(X,Y) = m, where F is an irreducible homogeneous form of degree n at least 3 and m is a nonzero integer. With a list of special cases that have been solved.
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- Tom's Mathematical Things - Tom Womack
Links to many elliptic curve subjects, including curves of given rank and small conductor, Mordell curves of large rank, and interesting torsion groups, from a second-year post-graduate mathematician at the University of
Nottingham, supervised by John
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- Tomás Oliveira e Silva
From an assistant professor in the Electronics and Telecommunications Department of the University of Aveiro, Portugal. On the Collatz problem: maximum number tested (N): 91·2^50 = 102456891522678784.
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- Topics in Arithmetic and Elementary Mathematics - E. Lee Lady; University of Hawaii
Materials used in a university course for prospective elementary school teachers, to teach them how to be interested in mathematics. Materials are in PDF and DVI, and include: representing numbers in other bases, divisibility tests, periodic decimal expansions,
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