Publication Date

Spring 2015

Document Type

Thesis

Degree Name

Master of Science

Department

Mathematics

First Advisor

Chris Tweddle, Ph.D.

Second Advisor

Angela Thompson, Ph.D.

Third Advisor

Dianna Galante, Ph.D.

Abstract

Quantitative urbanism is described as the field of study that explores the social, economic, and physical principles that cities are a product of. This new field of mathematics is quickly growing as various disciplines are attempting to better understand urban growth. This paper will explore the latest discoveries in the relationships that exist between cities and their size. Many aspects of cities, such as crime rates, energy usage, and wealth, have been shown to change exponentially in relation to city size. This paper explores multiple urban indicators vs. population size for cities in Illinois and discusses the results compared to current research. The paper discusses briefly how this developing data could be used in the future as our world becomes more and more urban. Possibly, what we know about successful urban regions could help us build strong new communities in developing countries.

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