They're prosperous, innovative, and they'll generate plenty of jobs, too.

We live in challenging times. Unemployment remains high, and the U.S. lead in technology and science is slipping as many foreign countries gain ground. But some U.S. cities, though slowed by the Great Recession, still thrive by lifting good old American innovation to new levels. And that will help put more Americans back to work and keep our international edge.

In Kiplinger's latest search for top cities, we focused on places that specialize in out-of-the-box thinking. "New ideas generate new businesses," says Kevin Stolarick, our numbers guru, who this year evaluated U.S. cities for growth and growth potential. Stolarick is research director at the Martin Prosperity Institute, a think tank that studies economic prosperity. "In the places where innovation works, it really works," he says.