Скачать или смотреть Math Seminar | Archimedes: The Sand Reckoner

By Jeff Powers. “There are some, King Gelon, who believe that the number of the sand is infinite in multitude…” begins The Sand Reckoner, a 3rd-century BCE manuscript by Archimedes of Syracuse (287-212 BCE). Limited by Greek numerals, Archimedes sought a new number system capable of expressing quantities larger than the amount of sand that could fill up the universe. Of course, to do this, he had to first determine the size of the universe. The Sand Reckoner is significant not only for the extraordinary mathematics it contains, but also for its profound insights into the history of science. It cites the earliest account we have of a heliocentric solar system, contains adjustments for solar parallax and the anatomy of a human eye, and is regarded as the world’s first research-expository paper. This seminar showcases Archimedes’ genius via a detailed analysis of The Sand Reckoner, demonstrating his place as the greatest mathematician of antiquity.