Greek mythology is everywhere in the Percy Jackson series, from Percy, Annabeth, and Grover are children of Athena/Minerva and Poseidon/Neptune, and Grover being a satyr ( half man, half goat). Also, the half-bloods fight many Greek mythological monsters, like the Chimera and Echnida. Greek mythology are myths made by Greek philosophers used to explain natural phenomenon.
Greek mythology is really the whole point of the book, from Hades to Poseidon, Greek mythology crops up everywhere. Wikipedia defines Greek mythology as "Greek mythology is the body of myths originally told by the ancient Greeks."
