Joy Weese Moll

Q420

November 8, 2003

 

 

Subject Guide for Mathematics

 

 

Mathematics 101

 

Mathematicians, like other scientists, perform cutting-edge research and report it in one of many professional journals. Unlike most other scientists, mathematicians also work with historical information, sometimes resurrecting problems from centuries ago. The most famous of these, Fermat’s Last Theorem, was finally solved in 1993 after intriguing mathematicians for 350 years.

 

Since historical precedent is vital to the practice of mathematics, the literature of the discipline is well-organized, governed by the Mathematics Subject Classification (http://www.ams.org/msc/).While the literature itself (written in specialized language and symbols) is impossible for a non-mathematical librarian to read, the organization is easily understood. This book will provide a good starting point for a mathematics librarian:

 

Anderson, Nancy D. and Lois M. Pausch, ed. A Guide to Library Service in Mathematics: The Non-Trivial Mathematics Librarian. Greenwich, Conn.: JAI Press, 1993.

 

Much of what is written about mathematics is about teaching the subject. The educational literature is accessible to a librarian without any special background.

 

 

Organizations

 

Mathematicians have two large professional organizations, the American Mathematical Society (AMS) and the Mathematical Association of America (MAA). The AMS is focused on scholarly work, including multiple publications. The MAA concentrates on the teaching of mathematics, particularly at the high school and college levels. Both groups host helpful websites.

 

American Mathematical Society: www.ams.org

Mathematical Association of America: www.maa.org

 

 

Indexes and Journals

 

The American Mathematical Society maintains MathSciNet, a web-based database indexing mathematical journals, books, and conference proceedings with coverage going back to 1940. When full text is not available within the database, the interface integrates seamlessly to other MU databases—clicking on a citation for an article in the American Journal of Mathematics takes you directly to that article in the Project Muse database.

 

The Science Citation Index covers the mathematical journals.

 

The following table shows several of the major academic journals in mathematics along with their access notes for electronic and physical versions in the St. Louis area.

 

Journal Title and Description

Electronic notes

Physical location notes

American Journal of Mathematics

  • oldest US math journal (1878)
  • Katz: “one of most important titles”

JSTOR has this from the first issue until 1995. Project Muse has it from 1996 on.

UMSL, Wash U, SLU

American Mathematical Monthly

Mathematical Association of America

JSTOR has 1894 to 1997.

Factiva has it from 1997.

St. Louis Community College,

Maryville, Fontbonne, Webster, UMSL, SLU, Wash U

Notices of the American Mathematical Society

The feature articles are mathematical but the book reviews and news items are readable.

Through proxy from MU journals site or free to all at:

http://www.ams.org/notices/

 

St. Charles Community College, SLU, UMSL, Wash U

Bulletin of the American Mathematical Society

Book reviews and math articles

Through proxy from MU journals site or free to all at:

http://www.ams.org/bull/

 

St. Charles Community College, SLU, UMSL, Wash U

SIAM Review

According to Katz, this has excellent book reviews

The table of contents and abstracts are available on the Society for Industrial and Applied Mathematics website:

http://epubs.siam.org

Citations and abstracts for 1997 and later available through MU’s EbscoHost.

Full text in JSTOR through 1997.

SLU, Wash U

 

 

Monographs

 

Because of the longevity of mathematical literature, books are the basic research tool for mathematics. On its web site, the AMS acknowledges that “of course, libraries are the most important resource for the literature of mathematics.”

The Library of Congress Subject Heading “Mathematics” has many neighboring, related and narrower terms. Universities that are famous for scientific or medical programs also have good mathematics collections in their academic libraries. The University of Georgia at Athens has what was once the collection held by the American Mathematical Society. Outside of academia, there are good math collections maintained by the Argonne National Laboratory, Pacific Northwest National Laboratory, and General Dynamics.

 

MathSciNet, which covers books as well as journals, is a useful resource for locating monographs.

 

Cornell has scanned nearly 600 copyright-expired mathematics books and put them on the web. The entire collection is searchable. Here is that web site:

http://historical.library.cornell.edu/math/

 

 

Electronic Resources

 

Math Forum @ Drexel

http://mathforum.org

This is an excellent portal with separate link pages for students, teachers, and researchers as well as the comprehensive Internet Mathematics Library, a searchable multi-level directory of links to math web sites.

                                  

MathSearch

http://www.maths.usyd.edu.au:8000/MathSearch.html

A search engine that searches “a collection of over 200,000 documents on English-language mathematics and statistics servers across the Web.” It searches mostly college-level and research material.

 

Scout Report

http://www.scout.wisc.edu/

There are thousands of web sites with teaching materials for mathematics. The Scout Report helps a little bit in selecting them since it has reviewed about a thousand of these.

 

 

Gray Literature

 

The AMS maintains a Directory of Mathematics Preprint and e-Print Servers:

http://www.ams.org/global-preprints/index.html

 

 

 

 

 

 

 

Bibliography

 

Ash, Lee. Subject Collections. New Providence, N.J.: R.R. Bowker, 1993.

 

Balay, Robert, ed. Guide to Reference Books. Chicago: American Library Association, 1996.

 

Encyclopedia of Associations. Detroit: Gale Research Co., 2003.

 

Hurt, C.D. Information Sources in Science and Technology. Englewood, CO: Libraries Unlimited, 1998.

 

Library of Congress Subject Headings, Washington, D.C.: Library of Congress, 2001.

 

Warwick, Travis D and Harley C. Brooks. “Mathematics.” In Magazines for Libraries, edited by Cheryl LaGuardia. New Providence, NJ: R.R. Bowker, 2002. (Bill Katz and Linda Sternburg Katz, consulting editors)

 

 

 

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