What are the motifs in Archimedes and the Door of Science by Jeanne Bendick?

The creation of sciences is a recurring idea in the book. Archimedes is responsible for the creation of many sciences, particularly mechanics and hydrostatics. His work in hydrostatics began with his experiment with King Hiero's crown, which King Hiero believed had not been made out of pure gold as he was promised by his goldsmith. Archimedes was charged with deducing whether the king had been ripped off.