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92: Biology and other natural sciences, behavioral sciences


Introduction

Other sciences whose connections merit explicit connection in the MSC scheme include Chemistry, Biology, Genetics, Medicine, Psychology, Sociology, and other social sciences as a group. In chemistry and biochemistry, it is clear that graph theory, differential geometry, and differential equations play a role. Medical technology uses techniques of information transfer and visualization. Biology (including taxonomy and archaeobiology) use statistical inference and other tools. Economics and finance also make use of statistical tools, especially time-series analysis; some topics, such as voting theory, are more combinatorial. (Mathematical economics is classed with operations research.) The more behavioural sciences (including Linguistics!) use a medley of statistical techniques, including experimental design and other rather combinatorial topics.

History

Applications and related fields

[Schematic of subareas and related areas]

Subfields

Until 1991, the area contained only the single section 92A: Biology and behavioral sciences. Thus this map is made using only the data since 1991.

Starting in the year 2000, sections 92G-92K will become part of a new primary classification, 91: Game theory, economics, social and behavioral sciences, along with parts of the current section 90. (These areas lie together on the map on this page.)

Browse all (old) classifications for this area at the AMS.


Textbooks, reference works, and tutorials

Mathematics and Biology: the interface - report of an NSF conference

Spalt, Detlef D.: "Was ist und was soll die mathematische Biologie?" (German: What is mathematical biology?); Wissenschaftliche Buchgesellschaft, Darmstadt, 1979. 161 pp. ISBN 3-534-08016-5 MR82e:00043

Rapoport, Anatol: "Directions in mathematical psychology", I-II. Amer. Math. Monthly 83 (1976), no. 2, 85--106 (MR52#12859) and no. 3, 153--172 (MR52#16734)

Estes, W. K.: "Some targets for mathematical psychology", J. Mathematical Psychology 12 (1975), no. 3, 263--282. MR52#16733

Contemporary developments in mathematical psychology. Vol. I: Learning, memory, and thinking. Vol. II: Measurement, psychophysics, and neural information processing. Proceedings of a Symposium, University of Michigan, Ann Arbor, Mich., 1972. Edited by David H. Krantz, Richard C. Atkinson, R. Duncan Luce and Patrick Suppes. W. H. Freeman and Co., San Francisco, Calif., 1974. 299+468 pp. 92A25 MR50#6554-5

MATHSOC: Mathematical Sociology Discussion Group (mailing list)

MPSYCH: Society for Mathematical Psychology (mailing list)

There is a USENET newsgroup bionet.biology.computational.

Software and tables

Biology programs appearing in the Computer Physics Communications program library.

MOLDY, A general-purpose molecular dynamics simulation program

Thermodynamics, software and databases for RNA structure

Chemistry programs appearing in the Computer Physics Communications program library.

Other web sites with this focus

Selected topics at this site


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Last modified 1999/06/12 by Dave Rusin. Mail: feedback@math-atlas.org