Enter Stuyvesant High, one of the most extraordinary schools in America, a place where the brainiacs prevail and jocks are embarrassed to admit they play on the woeful football team. Academic competition is so intense that students say they can have only two of these three things: good grades, a social life, or sleep. About one in four Stuyvesant students gains admission to the Ivy League. And the school's alumni include several Nobel laureates, Academy...