Each time history repeats itself, so it's said, the price goes up. The twentieth century was a time of runaway growth in human population, consumption, and technology, placing a colossal load on all natural systems, especially earth, air, and water — the very elements of life. The most urgent questions of the twenty-first century are: where will this growth lead? can it be consolidated or sustained? and what kind of world is our present bequeathing to our future?In his #1 bestseller A Short History of Progress Ronald Wright argues that our modern predicament is as old as civilization, a 10,000-year experiment we have participated in but seldom controlled. Only by understanding the patterns of triumph and disaster that humanity has repeated around the world since the Stone Age can we recognize the experiment's inherent dangers, and, with luck and wisdom, shape its outcome.

Flint, Michigan, is widely seen as Detroit s Detroit: the perfect embodiment of a ruined industrial economy and a shattered American dream. In this deeply researched book, Andrew Highsmith gives us the first full-scale history of Flint, showing that the Vehicle City has always seen demolition as a tool of progress. During the 1930s, officials hoped to renew the city by remaking its public schools into racially segregated community centers. After the war, federal officials and developers sought to strengthen the region by building subdivisions in Flint s segregated suburbs, while GM executives and municipal officials demolished urban factories and rebuilt them outside the city. City leaders later launched a plan to replace black neighborhoods with a freeway and new factories. Each of these campaigns, Highsmith argues, yielded an ever more impoverished city and a more racially divided metropolis. By intertwining histories of racial segregation, mass suburbanization, and industrial decline, Highsmith gives us a deeply unsettling look at urban-industrial America."

The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features. Through a thorough analysis of these model equations one hopes to glean a better under standing of the underlying mechanisms that are responsible for the formation and evolution of complex patterns. Classical model equations have typically been second-order partial differential equations. As an example we mention the widely studied Fisher-Kolmogorov or Allen-Cahn equation, originally proposed in 1937 as a model for the interaction of dispersal and fitness in biological populations. As another example we mention the Burgers equation, proposed in 1939 to study the interaction of diffusion and nonlinear convection in an attempt to understand the phenomenon of turbulence. Both of these are nonlinear second-order diffusion equations.