Edward Glaeser, a Harvard professor of economics, has spent several decades investigating the role cities play in fostering human achievement. In “Triumph of the City,” he has embedded his findings in a book that is at once polymathic and vibrant.

Glaeser’s essential contention is that “cities magnify humanity’s strengths.” They spur innovation by facilitating face-to-face interaction, they attract talent and sharpen it through competition, they encourage entrepreneurship, and they allow for social and economic mobility. Glaeser takes us on a world tour of urban economics, collecting passport stamps in Athens, London, Tokyo, Bangalore, Kinshasa, Houston, Boston, Singapore and Vancouver. Along the way, he explains how urban density contributed to the birth of restaurants, why supermarket check-out clerks demonstrate the competitive advantage such density confers and how the birth of Def Jam Records illustrates the way cities spur artistic innovation. Here, his enthusiasm for cities is refreshing.

Glaeser’s got some tough words for poorly reasoned public policies that feed suburban living: federal highway programs, the mortgage tax deduction, low gas prices. While he understands the lure of big houses and lush lawns, he’s against subsidizing them. And he chastises city planners in Paris and Mumbai, making a passionate argument for building up — and up and up.