Though he had received a good basic education in shipbuilding, Chapman recognized that he did not possess the knowledge of higher mathematics that was required to determine draft and stability at the design stage of a vessel. In 1748, he sold his share of the shipyard and moved to Stockholm where he studied for two years under Baron Fredrik Palmqvist. He went on to study under the English professor of mathematics, Thomas Simpson, who had worked out methods for calculating the volume of irregular surfaces and bodies. After one year of studies in London, he went on to study shipbuilding at the British royal dockyards in Woolwich, Chatham and Deptford.