Mathematics Resources

Math and Science Gateway

"The just produced issue of the quarterly "Geombinatorics" is dedicated entirely to the memory of Paul Erdos. It includes essays by Paul Erdos and Janos Pach, Branko Grunbaum, Peter Horak, Paul Kainen, Jaroslav Nesetril, Alexander Soifer, and Bohdan Zelinka. It contains a pencil portrait of Paul Erdos by J. Nesetril and four photographs. The issue is, of course, a part of vol. VI, and will be mailed to the subscribers in a matter of a few days. We realize, however, that it is quite possible to be interested in this issue without a 'burning desire' to read all other problem posing essays that "Geombinatorics" has to offer. We, therefore, made this issue available without subscription as well."

MathSciNet

MathSciNet is the searchable Web database providing access to over 55 years of Mathematical Reviews and Current Mathematical Publications from 1940 to the present. It is accessible throughout the UConn campuses. Click on the SEARCH button.

Both bibliographic data and review texts are available from 1980-present. Bibliographic data is available from 1940-1979. Items listed in the annual indexes of Mathematical Reviews but not given an individual review are also included.

Current Mathematical Publications data is added daily. Mathematical Reviews data is added each month when the printed issue is complete. The Mathematical Reviews record for an item with a review replaces the Current Mathematical Publications record for that item.

MathSciNet is available at several locations at The University of Connecticut. Note that it is accessible only through users within the UConn domain.

NSF Funded Summer Workshops

NMBRTHRY on the World Wide Web

The archives of the NMBRTHRY mailing list on Internet.

LiDIA

Paul Erdos

Site devoted to Paul Erdos put together by Paul Hoffman.

The Scientific American

Research Resources

Electronic Research Announcements of the American Mathematical Society

ERA-AMS publishes high-quality research announcements of significant advances in all branches of mathematics.

GIMPS--The Great Internet Mersenne Prime Search

A worldwide project involving over 2000 volunteers coordinated by George Woltman, who wrote and makes available for download a software program, available for Macintosh, Windows and Unix, for testing for Mersenne primes.

MathSciNet

Enables you to find references from Mathematical Reviews back to 1940. Search for any keyword. Search for all papers by an author.

Neil Sloane's Integer Sequence Encyclopedia

New York Journal of Mathematics

NTL

A Library for doing Number Theory. Created by Victor Shoup shoup@cs.wisc.edu.

NTL is a high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields.

NTL uses state-of-the-art algorithms. In particular, it's code for polynomial arithmetic is one of the fastest available. Early versions of NTL have been used to set "world records" for polynomial factorization and point counting on elliptic curves.

NTL is written entirely in C++, and can be easily installed on just about any Unix platform, including PCs, and 32- and 64-bit workstations. Despite the fact that NTL is written in C++ and avoids assembly, NTL's performance is generally much better than is typical of such portable libraries.

NTL is relatively easy to use, and it provides a good environment for easily and quickly implementing new number-theoretic algorithms, without sacrificing performance.

NTL is free software that is intended for research and educational purposes only.

Number Theory Web [Australian Site] [American Mirror Site]

Set up by Keith Matthews of the University of Queensland. So far it consists of two sections: 185 links to number theorists' homepages, as well as links to various things he believes are of interest to mathematicians interested in number theory. If you would like to be listed, please send your URL to Keith at krm@axiom.maths.uq.oz.au.
He suggests that your minimal homepage should contain:

Your email and snailmail addresses.
Your special fields of interest.
A link to your list of publications, (links to .dvi or .ps versions of papers/preprints, where possible).
If you are part of a group of number theorists at your institution, a link to a listing of the group would be informative.
Links to coworkers or those with similar interests could also be included.
Also any links to seminars, conferences, forth-coming books, books you have already published - past and present, online lecture notes, online seminar notes, online theses, etc.
Research problems that you think are worthwhile attacking.

Prime K-Tuplets

Put together by Tony Forbes <tonyforbes@ltkz.demon.co.uk>
A prime k-tuplet is a sequence of k consecutive primes such that the separation between the first and last is minimal in some sense. See [1] for a precise definition. The notion generalises the concept of prime twins.
Tony requests, that, in order to keep the information accurate and up to date, any new, large (proven) prime k-tuplets, as well as corrections to the existing entries, suggestions for improvements, etc., be communicated to him.

Tables of Number Fields

Compiled by the Computational Number Theory group in Bordeaux. These tables have been completed, when necessary, by adding the needed arithmetic information. All the tables are given in a unique format, and contain the main invariants of number fields, such as Galois group, class and unit group, etc...

WWW Database of 100K+ Published Technical Articles

From Dave Wagner

Pedagogic Resources

UConn Husky Calculus

The Computer Integrated Calculus Project at the University of Connecticut. Includes TrueBASIC© programs and HyperCalcLab© stacks.

The Virtual Classroom

Contains a Problem of the Week in several different areas of mathematics.

Archives of Calculus Problems

Wheaton

Fandm

BSC

Rose-Hulman

Computers in Calculus Instruction

John Myers, a mathematics major at Millsaps College in Jackson, MS, is completing research on the ways in which computers are being utilized to aid in calculus instruction with a goal of compiling a thorough list of various resources available on mathematics education, particularly computer-aided instruction of calculus.

Calculator Malfunctions

Mark McClure (mcclure@math.ohio-state.edu) has collected a bunch of functions whose graphs are rendered incorrectly on some type of graphing calculator. According to Mark,

This page should in no way be considered as an attack on graphing calculators. In fact, I am very much in favor of their continued use in education. However, they do make mistakes sometimes and teachers and students alike should be aware of what types of mistakes might arise to be able to use a graphing calculator efficiently. So this page is my little contribution to the proper use of technology in mathematics education (at least as I see it).

Calculus Resources On-Line

An area of the Mathematics Archives containing information on various calculus projects.

CODE°E Project

Maintains information about computer software for the solution of differential equations.

Connected Curriculum Project

CCP now has three sites; each of the three sites has links to the others.

The Montana State site includes interactive text materials of book length for a variety of courses.

The Duke site concentrates on "modules" -- lab-length units grouped under headings for eight different courses, but which can be used in a modular fashion to support a variety of different courses, as well as for self-study and enrichment.

The Cal Poly site concentrates on interdisciplinary projects of a more extended and open-ended sort. In contrast to Duke modules that might occupy a student or small team of students for one to two hours (plus some write-up time, if required), and the Montana State units that could occupy a whole semester, the Cal Poly units might take one to two weeks for adequate student response.

A common thread at all three sites is active involvement of the learner. Another common thread is the mode of delivery. To the extent possible, they rely on HTML and Java, which are universally accessible and essentially independent of platform.

Since the bulk of our material is in the HTML document, it is relatively easy to create additional versions of the modules for other computer algebra systems.

The Connected Curriculum Project is supported by a National Science Foundation planning grant to Cal Poly, on which Duke is a subcontractor and Frank Wattenberg and others are consultants.

CRAFTY

Drake University Internet Calculus

An Internet calculus course taught by Dan Alexander of Drake University over the Wide World Web.

Epsilons and Deltas Revisited

An error control perspective of epsilon and deltas.

The Guide to Math & Science Reform Online

The Guide to Math & Science Reform is a fully searchable, Web-based database. The Guide Online contains comprehensive, but concise entries on nearly 1,200 projects, resources, and organizations involved in K-12 mathematics and science education improvement across the U.S. It contains the same data, the same extensive search functionality, and the same user-friendliness of the standalone disk version. The Guide Online currently contains data from the 5th edition (Fall 1996) of The Guide to Math & Science Reform. The next edition is due in February 1997.
The Guide is funded by the Annenberg/CPB Math and Science Project.

Harvard Calculus Consortium

Probably the most known calculus reform group.

JakeWeb Challenges

A collection of problems.

Journal of Statistics Education

Appetizers and Lessons for Mathematics and Reason

Collected by Alan Selby

The Math Forum

A small but growing collection of resources created by Forum participants and staff, all of which offer substantive, hands-on materials for math classrooms. These are examples of the type of educational materials we hope to see more of in the near future: activities that take advantage of the unique ability of the World Wide Web to combine hypertext, interactivity, multimedia functions, and communication at a distance. Take a look at some early experiments in how the technology of the Web - with helper applications such as the Geometer's Sketchpad, Hypercard, HyperStudio, Mathematica, and QuickTime movies - may revolutionize the way mathematics is taught.

Mathematical Fallacies

Math Homework Help

Also includes links to other math homework. Helpers and links to fun and interesting math sites.

20,000 Problems Under the Se

MathPro Online allows users to electronically search mathematical problems. The database consists of 20,000 problems from 38 journals and 21 contests.

Multi-Step, Technology-Based Calculus Problems

Constructed to make it easier for instructors looking for interesting problems to incorporate them into their courses. The problems are categorized by field, and each problem comes with complete solutions as well as a throrough discussion of issues related to the problem and solution. Alternate Location

Additional problems may be submitted to Aaron Klebanoff (aaron.klebanoff@rose-hulman.edu), preferably in Mathematica notebook format.

Problem Solving Across the Curriculum

Oswego

Project CALC

Includes a brief description of Project CALC, information about text and lab materials, and errata lists for its textbook, Calculus: Modeling and Application as well as an Instructor's Guide and Bibliography.

SMARD

The Secondary Mathematics Asssessment and Resource Database includes over 220 links to support secondary mathematics and a comprehensive Table of Contents.

TIMSS

Third International Mathematics and Science Study
A study of classrooms across the country and around the world. It is the largest international comparative study of educational achievement to date. The National Center for Education Statistics (NCES) of the U.S. Department of Education, the National Science Foundation (NSF), and the Canadian Government are funding the international TIMSS project to assess school achievement in mathematics and science in nearly 50 countries. TIMSS will study student outcomes, instructional practices, curricula, and cultural context. The international coordination of TIMSS activities is centered at Boston College under the direction of Professor Albert Beaton. One of the driving forces behind TIMSS is the recognition by policymakers that mathematical and scientific literacy affect economic productivity. World-class competence in math and science is essential to compete successfully in today's interdependent global marketplace. TIMSS will provide a comparative international assessment of educational achievement in those two subjects and the factors that contribute to it.

The Geometry Center at the University of Minnesota

Syllabus for their technology in the classroom online aimed at high school level math teachers.

CalculusQuest

First semester of calculus, taught on the web at Oregon State University.

Mathematics Departments

The University of Connecticut
Courant Instutute of Mathematical Sciences: New York University; Courant Instutute Library
Indiana University
University of Illinois at Urbana-Champaign: Calculus and Mathematics
San Joaquin Delta College: Stockton California

Companies

Texas Instruments

Wolfram Research Publishers of Mathematica

Seminar and Conference Announcements

The CIMS Weekly Bulletin
New York Number Theory Seminar: (Soon) including information about the 2004 Workshop on Combinatorial and Additive Number Theory at the CUNY Graduate Center May 19-22.
CUNY Graduate Center: Weekly bulletin of listings of the CUNY Graduate Center's mathematics seminars are colloquia. The Graduate Center is now located in the Graybar Building at 420 Lexington Avenue.
Joint Number Theory Seminar, rotating between Columbia University, CUNY Graduate Center and NYU.: Columbia Announcements; CUNY Announcements
Rutgers University