Hard SF detective novel, in a world where everybody carries around a backup device for their mind; this makes death more of an inconvenience than a problem, and means that murder victims can hire detectives, provided they've got the cash for a new body. Often very dark, but the writing's good enough that I'll put up with the unpleasantness; I'll be looking out for more of these.
ISBN 057507390X. Search for this book on Wikipedia or isbn.nu.