The term ANALYSIS was introduced by Theon of Alexandria, according to Kline (page 279). François Viète used the term analytic art for algebra in 1591 in In artem analyticem isagoge. Schwartzman (page 23) says that around 1590 "the French mathematician Viète opted for the term analysis rather than algebra, claiming that algebra doesn't mean anything in any European language. He didn't succeed in driving out the word algebra, but he did popularize analysis to the point where it has stayed with us."

Jeff Miller et Mathématiques, Université de York