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The Babylonian Theorem: The Mathematical Journey to Pythagoras and Euclid

Amazon.com Price: $10.99 (as of 03/05/2019 04:42 PST- Details)

Categories: Algebraic Geometry, Ancient Civilizations, Assyria, Babylonia and Sumer, Books, Geometry and Topology, History, Mathematics, Science and Math, Subjects

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A physicist explores the history of mathematics a number of the Babylonians and Egyptians, showing how their scribes within 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 determine problems—to the nonmetric geometric algebra of Euclid (ca. 300 BCE). From his analysis of Babylonian geometric algebra, the creator formulates a “Babylonian Theorem”, which he demonstrates used to be used to derive the Pythagorean Theorem, a few millennium before its purported discovery by Pythagoras.

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

This is a masterful, fascinating, and entertaining book, with a purpose to interest both math enthusiasts and scholars of history.

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