| Abstract: | A review of the use of mathematical techniques in Soviet geography finds that the new methods are an essential tool in the application of systems theory to geographical problems. Mathematical techniques are held to have the greatest promise in the investigation of space (topology), the study of large systems (set theory, general systems theory) and research on complex relationships between phenomena with a certain randomness (linear algebra, polylinear algebra, probability theory). The use of mathematical techniques should be combined with traditional methods in geography, and instead of replacing the traditional geographical methodology, mathematics may be expected to strengthen that methodology. A real need is seen for a set of basic axioms in geography, and mathematics is expected to play a significant role in this connection. Mathematical models have proved useful in the investigation of particular spatial structures, such as population density within cities and the location of service establishments. But problems have been encountered in the modeling of territorial production systems. |
