The Babylonian Theorem (The Mathematical Journey to Pythagoras and Euclid)

A physicist explores the history of mathematics among the Babylonians and Egyptians, showing how their scribes in the era from 2000 to 1600 BCE used visualizations of plane geometric figures  to invent geometric algebra, even solving problems that we now do by quadratic algebra. Rudman traces the evolution of mathematics from the metric geometric algebra of Babylon and Egypt—which used numeric quantities on diagrams as a means to work out problems—to the nonmetric geometric algebra of Euclid (ca. 300 BCE). From his analysis of Babylonian geometric algebra, the author formulates a "Babylonian Theorem", which he demonstrates was used to derive the Pythagorean Theorem, about a millennium before its purported discovery by Pythagoras.

He also concludes that what enabled the Greek mathematicians to surpass their predecessors was the insertion of alphabetic notation onto geometric figures. Such symbolic notation was natural for users of an alphabetic language, but was impossible for the Babylonians and Egyptians, whose writing systems (cuneiform and hieroglyphics, respectively) were not alphabetic.

This is a masterful, fascinating, and entertaining book, which will interest both math enthusiasts and students of history.

This book title, The Babylonian Theorem (The Mathematical Journey to Pythagoras and Euclid), ISBN: 9781591027737, by Peter S. Rudman, published by Prometheus Books (January 26, 2010) is available in hardcover. Our minimum order quantity is 25 copies. All standard bulk book orders ship FREE in the continental USA and delivered in 4-10 business days.

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