The Evolution of Mathematics in Ancient China, Frank Swetz

Abstract

A popular survey book on the development of mathematics has its text prefaced by the following remarks: Only a few ancient civilizations, Egypt, Babylonia, India and China, possessed what may be called the rudiments of mathematics. The history of mathematics and indeed the history of western civilization begins with what occurred in the first of these civilizations. The role of India will emerge later, whereas that of China may be ignored because it was not extensive and moreover has no influence on the subsequent development of mathematics [1]. Even most contemporary works on the history of mathematics reinforce this impression, either by neglecting or depreciating Chinese contributions to the development of mathematics [2]. Whether by ignorance or design, such omissions limit the perspective one might obtain concerning both the evolution of mathematical ideas and the place of mathematics in early societies. In remedying this situation, western historians of mathematics may well take heed of Whittier's admonition [3]: We lack but open eye and ear To find the Orient's marvels here. Language barriers may limit this quest for information; however, a search of English language sources will reveal that there are many “marvels” in Chinese mathematics to be considered. Legend and fact The origins of mathematical activity in early China are clouded by mysticism and legend. Mythological Emperor Yu is credited with receiving a divine gift from a Lo river tortoise.