 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 energyrelated 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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 The RoseHulman Undergraduate Mathematics Journal  RoseHulman Institute of Technology
Devoted entirely to papers written by undergraduates on topics related to mathematics. A mathematician familiar with each student's work to sponsor the paper. Freely download refereed PDF articles from past issues of the biannual RHIT Undergraduate Math
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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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 RuthAaron Pairs and an Algorithm  Joe K. Crump
A page on RuthAaron numbers and a novel algorithm capable of generating
very large ones (200+ digits).
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 Scientific Applications of Linux  HerngJeng 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, arrayoriented 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 K12 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, 1994present.
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 Seminar on Advances in Mathematical Sciences  Dr. Hemen Dutta
The National Seminar on Advances in Mathematical Sciences (NSAMS) commemorated the
128th birth anniversary of Srinivasa Ramanujan Iyengar. Organized in December, 2015, by the Assam Academy of Mathematics & Department of Mathematics, Gauhati University.
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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 TeXSource 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, colorcoded 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: NonGeometry, CounterProjective Geometry, AntiGeometry, 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; Latticebased 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 precollege 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; ngrams, number patterns expressed graphically using the
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 TaniyamaShimura Conjecture Proved (Math Chat)  Frank Morgan, MAA Online
A proof of the full TaniyamaShimura 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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 Tanya Khovanova's Home Page  Tanya Khovanova
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 and lectures.
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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 checkerjumps), 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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 ti89.com  Mike Hillwood
TI89 and Voyage200 graphing calculator apps for purchase: number theory, geometry, conics, algebra, linear algebra, matrices and vectors, precalculus, trigonometry, calculus, differential equations, discrete mathematics (linear programming, Markov chains,
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 TINspire CAS CX Apps  Mike Hillwood
TINspire CAS CX stepbystep apps for purchase: algebra, linear algebra, matrices and vectors, precalculus, trigonometry, calculus, differential equations, statistics, number theory, geometry, conics, discrete mathematics (linear programming, Markov
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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 secondyear postgraduate 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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 Trimathlon
Site centered around a book featuring activities from number theory and geometry beyond the realm of the typical school curriculum. The site features a discussion forum, a sample online game (with others promised), and a periodic puzzler with hint.
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 TRIUMPHS
TRansforming Instruction in Undergraduate Mathematics via Primary Historical Sources (TRIUMPHS) creates freely downloadable materials for use in the undergraduate mathematics classroom which teaches content based around original mathematical sources such
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