Abstract
The chapter makes an argument that mathematical urban models should be joined with urban social theory. The two were separated historically was not because of any philosophical incommensurable difference but a result of internal sociological factors within the discipline of geography during the early 1970s. A model for integrating mathematical and social theoretical urban approaches is offered that draws on the work of the historian and philosopher of science, Peter Galison, and his idea of a trading zone.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Alonso, W. 1964. Location and Land Use. Cambridge, MA: Harvard Press.
Ambrose, P. and Colenutt, B. 1975. The Property Machine. Harmondsworth: Penguin.
Barnes, T. J. 1983. The Geography of Value, Production, and Distribution: Theoretical Economic Geography After Sraffa. Unpublished Ph.D. dissertation, Department of Geography, University of Minnesota.
Barnes, T. J. 2004. Placing ideas: Genius loci, heterotopia, and geography’s quantitative revolution. Progress in Human Geography 29, 565–595.
Barnes, T. J. 2008. Geography’s Underworld: The military-industrial complex, mathematical modelling and the quantitative revolution. Geoforum 39, 3–16.
Barnes, T. J. 2012. Gunnar Olsson and me. In GO: On the Geographies of Gunnar Olsson, eds., C. Abrahamson and M. Gren. Aldershot: Ashgate, pp. 245–258.
Bennett, R. J. 1975a. Dynamic systems modelling of the North West region: 1. Spatio-temporal representation and identification. Environment and Planning A 7, 525–538.
Bennett, R. J. 1975b. Dynamic systems modelling of the North West region: 2. Estimation of the spatio-temporal policy model, Environment and Planning A 7, 539–566.
Bennett, R. J. 1975c. Dynamic systems modelling of the North West region: 3. Adaptive-parameter policy model, Environment and Planning A 7, 617–636.
Bennett, R. J. 1975d. Dynamic systems modelling of the North West region: 4. Adaptive spatio-temporal forecasts, Environment and Planning A 7, 887–898.
Berry, B. J. L. 1972. Revolutionary and counter-revolutionary theory in urban geography – a ghetto reply. Antipode 4 (2), 31–33.
Bunge, W. 1971. Fitzgerald: Geography of a Revolution. Chicago: Schenckman.
Castells, M. 1977. The Urban Question: A Marxist Approach. Translated from the French by Alan Sheridan. London: Edward Arnold.
Galison, P. 1998. Image and Logic: A Material Culture of Microphysics. Cambridge, MA: Harvard University Press.
Garin, R. A. 1966. A matrix formulation of the Lowry model for intrametropolitan activity allocation. Journal of the Institute of American Planners 32, 361–364.
Harvey, D, 1972a. A commentary on the comments. Antipode 4 (2), 36–41.
Harvey, D. 1972b. Revolutionary and counter-revolutionary theory in geography and the problem of ghetto formation. Antipode 4 (2), 1–13.
Harvey, D. 1973. Social Justice and the City. London: Edward Arnold.
King, L. J. 1979. On neoclassicism in economic geography theory. In Retrospective 1951–76, eds. L.-E. Hamelin, and L. Bauregard. Montreal: Canadian Association of Geographers, pp. 31–44.
Kwan, M.-P. 2004. Beyond difference: From canonical geography to hybrid geographies. Annals of the Association of American Geographers 94, 756–63.
Lösch, A. 1954. Economics of Location. Translated from the German second revised edition by W. H. Woglom with the assistance of W. F. Stolper. New Haven and London: Yale University Press.
Olsson, G. 1975. Birds in Egg. Michigan Geographical Publication #15. Ann Arbor: Department of Geography, University of Michigan.
Samuelson, P. A. 1947. Foundations of Economic Analysis. Cambridge, MA: Harvard University Press.
Samuelson, P. A. 1962. Economists and the history of ideas. American Economic Review 52, 1–18.
Smolinski, L. 1973. Karl Marx and mathematical economics. The Journal of Political Economy 81, 1189–1204.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Barnes, T. (2019). Not Only … But Also: Urban Mathematical Models and Urban Social Theory. In: D'Acci, L. (eds) The Mathematics of Urban Morphology. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-12381-9_23
Download citation
DOI: https://doi.org/10.1007/978-3-030-12381-9_23
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-12380-2
Online ISBN: 978-3-030-12381-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)