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The Mathematical Foundations of the Science of Cities

In: Handbook of the Mathematics of the Arts and Sciences

Author

Listed:
  • Christa Brelsford

    (Oak Ridge National Laboratory)

  • Taylor Martin

    (Sam Houston State University)

Abstract

In this chapter, we describe graph-theoretic representations of infrastructure and social processes in urban environments and trace the development of these fields from the perspective of mathematics, social science, and urban planning. We follow the historical development of two different perspectives on cities and urban planning – one in which infrastructure and urban form is the primary focus and another which made people and social processes the primary focus. These perspectives can be traced through their application of concurrently developing mathematical techniques in graph theory, network science, and social network analysis. These different perspectives are now becoming integrated into a more mathematically grounded understanding of cities as coupled social and physical systems, in which the social life of a city shapes and defines the infrastructure that is built and a city’s infrastructure and physical form also shape the lives and communities of its residents.

Suggested Citation

  • Christa Brelsford & Taylor Martin, 2021. "The Mathematical Foundations of the Science of Cities," Springer Books, in: Bharath Sriraman (ed.), Handbook of the Mathematics of the Arts and Sciences, chapter 70, pages 1795-1818, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-57072-3_56
    DOI: 10.1007/978-3-319-57072-3_56
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