THE DILLINGER DAYS (371 pp.)John TolandRandom House ($5.95).
About a year after John Dillinger was gunned down by FBI agents outside a Chicago theater in 1934, Actor Humphrey Bogart scored his first Broadway success as the gunman in Robert Sherwood's The Petrified Forest. Dillinger and Bogart looked remarkably alike: both were small and wiry, both had a kind of insolent, scarred good looks, each cultivated a distinctive trademarkBogart a toothy wince and Dillinger a sarcastic, lopsided smile. Coming to public attention when they did, both became national idols.
In this lively account of Dillinger...