“The AMS, founded in 1888 to further the interests of mathematical research and scholarship, serves the national and international community through its publications, meetings, advocacy and other programs, which promote mathematical research, its communication and uses, encourage and promote the transmission of mathematical understanding and skills, support mathematical education at all levels, advance the status of the profession of mathematics, encouraging and facilitating full participation of all individuals, foster an awareness and appreciation of mathematics and its connections to other disciplines and everyday life.”*
“[This is] an organization for people who love the mathematical sciences. A community that values discussion and exposition, for meeting colleagues and building knowledge together. An organization with roots in the nineteenth century and a powerful role in the twenty-first.”*
The Mathematical Atlas
From Northern Illinois University Math Department. “The Mathematical Atlas is a collection of articles about aspects of mathematics at and above the university level, but (usually) not at the level of current research. The goal of this collection is to introduce the subject areas of modern mathematics, to describe a few of the milestone results and topics, and to give pointers to some of the key resources where further information is to be found. Like any good atlas, we try to present several ways to look at each area and to show its relationship with neighboring areas and sub-areas.”*
The Math Forum (from Drexel)
“The Math Forum is the leading online resource for improving math learning, teaching, and communication since 1992. We are teachers, mathematicians, researchers, students, and parents using the power of the Web to learn math and improve math education. We offer a wealth of problems and puzzles; online mentoring; research; team problem solving; collaborations; and professional development. Students have fun and learn a lot. Educators share ideas and acquire new skills..”*
Math on the Web
Broad array of sources from math tools to histories to university math departments.
PLUS Magazine, Living Mathematics
“Plus is an internet magazine which aims to introduce readers to the beauty and the practical applications of mathematics. A lot of people don't have a very clear idea what "real" maths consists of, and often they don't realise how many things they take for granted only work because of a generous helping of it. Apparently, some people even have the idea that it's boring! Weird. Anyway, we hope that even if you're such a person now, you won't be after looking through one or two issues of Plus, and that you'll come back and read future issues as they come out…. Plus provides articles and podcasts on any aspect of mathematics, covering topics as diverse as art, medicine, cosmology and sport, a news section, showing how recent news stories were often based on some underlying piece of maths that never made it to the newspapers, reviews of popular maths books, and puzzles for you to sharpen your wits. We have a regular interview with someone in a maths-related career, showing the wide range of uses maths gets put to in the real world. And all past content remains available online, which besides making for good browsing is, we hope, a useful resource for maths school students and teachers.”*
Pi in the Sky
“Pi in the Sky magazine is primarily aimed at high-school students and teachers, with the main goal of providing a cultural context/landscape for mathematics. It has a natural extension to junior high school students and undergraduates, and articles may also put curriculum topics in a different perspective.”* From the Pacific Institute of Mathematical Sciences. Free access.
Practice, Formulas, Calculators & Competitions
Math Forum (from Drexel) Ask Dr. Math
“Ask Dr. Math is a question and answer service for math students and their teachers. A searchable archive is available by level and topic, as well as summaries of Frequently Asked Questions.”*
American Mathematics Competitions
The American Mathematics Competitions are “dedicated to the goal of strengthening the mathematical capabilities of our nation's youth. We believe that one way to meet this goal is to identify, recognize and reward excellence in mathematics through a series of national contests.”*
Theories & Problems
Full text of Euclid’s Elements from Clark University
Mathematical Problems of David Hilbert
Also from Clark University. This has a link to Hilbert’s original German text (with translation link).
History & Biographies
Biography Resource Center
Use the password bern_log. Search by occupation, mathematicians, there are a ton listed!
MacTutor History of Mathematics
Huge database of mathematician biographies from the University of Scotland.
Biographies of Women Mathematicians
from Agnes Scott College in Atlanta, Georgia
Mathematicians of the African Diaspora in the 20th Century
Mathematics Genealogy Project
From the North Dakota State University Department of Mathematics, it shows who taught whom throughout the years.
British Society for the History of Mathematics
“The British Society for the History of Mathematics exists to promote research into the history of mathematics and its use at all levels of mathematics education.”*
*Text taken directly from the referenced website.