Sustainable Urban Development Through Mathematics

Sustainable urban development (SUD) is a critical global priority to balance rapid urbanization with environmental, economic, and social well-being. Sustainable Development and Mathematics seem to be completely incoherent to many people. But Mathematics is the prime mover in attaining the Sustainable Development Goals (SDGs) approved by United Nations (UN) because of its implement abilities to real situations. Mathematical modelling plays pivotal role towards sustainable development in arriving the understanding, prediction and control of the development process. To attain the goals set for SDG, this paper puts forward some mathematical models that will be proved functional in relation to the goal of Sustainable Urban Development and Infrastructure. Urban Growth and Land Use Model, optimizes land use and reduce urban sprawl. Transportation and Mobility Model, directs to reduce traffic congestion. Waste Management Model, guides cities in optimizing recycling programs. Subsequent research shall focus on applications of these models. By illustrating key case studies and methodologies, we demonstrate how these models contribute to achieve sustainable urban environments.