Last Exits in Brooklyn.

Nobody knows a man better than his ex-wife. So Moe Prager's ex-wife, Carmella, is wise to this veteran private eye, accepting the fact that no matter how many times he marries, his first love will always be Brooklyn. ''When you die, they should just bury you right here, under the boardwalk,'' she tells him in HURT MACHINE (Tyrus, $24.95; paper, $15.95), Reed Farrel Coleman's latest book in a series heavily saturated with local color. Since Prager has recently been told he has stomach cancer, that day may come sooner than Carmella thinks. But this stubborn old shamus is determined to do two things before his ashes are consigned to the sands of Coney Island: Attend his daughter's wedding, and find the person who murdered Carmella's older sister, Alta. Alta Conseco and Maya Watson, emergency medical technicians with the New York Fire Department, became pariahs after walking away from a dying man who was stricken at a trendy Manhattan bistro. Although Alta's death was clearly a retribution killing, her fellow E.M.T. (surely the murderer's next target) refuses to offer any explanation for their behavior. This silent treatment forces Prager to do exactly what we want him to do: Travel the length and breadth of the city talking to cops, firemen, gangsters and restaurateurs in their picturesque natural habitats. [ABSTRACT FROM AUTHOR]