Mathematics
The major subfields of mathematics is displayed in the table of contents of Fowler (2004):
Mathematics Culture. Kristine Fowler
Tools and Strategies for Finding General Mathematics Information. Kristine Fowler
Tools and Strategies for Searching the Research Literature. Molly White
Recommended Resources in History of Mathematics. Fernando Gouvêa
Recommended Resources in Number Theory. Jay Goldman and Kristine Fowler
Recommended Resources in Combinatorics. Victor Reiner and Kristine Fowler
Recommended Resources in Abstract Algebra. Edgar Enochs and Kristine Fowler
Recommended Resources in Algebraic and Differential Geometry. Thomas Garrity
Recommended Resources in Real and Complex Analysis. John McDonald
Recommended Resources in Ordinary and Partial Differential Equations. Jan Figa
Recommended Resources in Topology. Allen Hatcher
Recommended Resources in Probability Theory and Stochastic Processes. Randall Swift
Recommended Resources in Numerical Analysis. Kendall E. Atkinson
"Why multiple taxonomies? As a first cut, we tried to find a taxonomy that reflects the notions of generalization and specialization within mathematics. In experiments done before the meeting, and in discussions during the meeting, it became clear that disparities in vocabulary usage among different levels of mathematics made a universal taxonomy impractical. The assumptions made by someone searching in the realm of research mathematics and someone searching in the context of a precalculus course are remarkably different, and the same vocabulary means far different things. Not only do words change their meaning as the level of mathematics changes (think of the word "sequence" and what it means to a middle school teacher, in Calculus, in Number Theory, or in homological algebra) but so can the relationships among subjects within mathematics." http://www.mathmetadata.org/ammtf/docs/june99/maintax.htm
Literature:
Fowler , K. K. (Ed.). (2004). Using the Mathematics Literature. New York: Marcel Dekker, Inc.
Mills, J. and Broughton, V. (1993). Bliss bibliographic classification. 2nd ed. Class AM/AX: Mathematics, Probability and Statistics. London: Bowker-Saur .
Rusin, D. (2002). The Mathematical Atlas. http://www.math-atlas.org/
Birger Hjørland
Last edited: 17-05-2007