The Mask of Zeus — Desmond Cory

Sent into exile by those of his friends and colleagues still reeling from his exploits in The Catalyst, Professor John Dobie arrives on the Isle of Aphrodite (better known as Cyprus) prepared to induct his new students into the Mysteries of Higher Mathematics. But the local gods have a shock or two in store for him, starting with the fact that his predecessor at the school, a former student of Dobie's, has been murdered.
Aided and abetted at long range by his charming, if caustic, companion Dr. Kate Coyle and baffled by the literary effusions of a zonked-out young compatriot currently facing a murder charge, Dobie - with his customary two-left-footed aplomb - investigates the Amphitryon Affair: a bewildering intermingling of myth, reality, and apparent lunacy with all matter of political and sexual shenanigans ... a case for a divergent thinker if ever there was one.