Spatial Dynamics And Optimal Space-Time Development

Contents: Intuitive notions of time and its interrelation with space. Basic concepts of dynamical systems and optimal control. Dynamics and optimality in discrete space: macro and micro approach. Dynamics and optimality in continuous space. Field description of spatial interactions, a second class of equations of motion, and distributed dynamical systems. Application of the continuous-space frame to location and land-use problems and the evolution of spatial structure. Further applications of the continuous-space frame to classical location, land-use, and transportation problems. The inclusion of capital as a productive factor and of investment processes. Hierarchical theory: some intuitive concepts and principles, and some formalization. Models of transition processes. General system concepts and spatial interaction. Speculations on a geometric description of spatial interactions stemming from general relativity theory.