The document lists contributions of 6 major mathematicians - Pythagoras, who discovered the Pythagorean theorem; Aristotle, who studied mathematics in relation to science; Euclid, who wrote the influential Elements on geometry; Al-Khwarizmi, who wrote the first book on algebra; Leonardo da Vinci, who applied geometry to mechanics; and Galileo Galilei, who was a teacher, astrologer, and mathematician.