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

In this sequel to his award-winning How Mathematics Happened, physicist Peter S. Rudman 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 how plane geometric figures could be partitioned into squares, rectangles, and right triangles to invent geometric algebra, even solving problems that we now do by quadratic algebra. Using illustrations adapted from both Babylonian cuneiform tablets and Egyptian hieroglyphic texts, 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). Thus, Rudman traces the evolution of calculations of square roots from Egypt and Babylon to India, and then to Pythagoras, Archimedes, and Ptolemy. Surprisingly, the best calculation was by a Babylonian scribe who calculated the square root of two to seven decimal-digit precision. Rudman provocatively asks, and then interestingly conjectures, why such a precise calculation was made in a mud-brick culture. From his analysis of Babylonian geometric algebra, Rudman formulates a "Babylonian Theorem," which he shows 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. Rudman intersperses his discussions of early math conundrums and solutions with "Fun Questions" for those who enjoy recreational math and wish to test their understanding. The Babylonian Theorem is a masterful, fascinating, and entertaining book, which will interest both math enthusiasts and students of history.

General

Imprint:	Prometheus Books
Country of origin:	United States
Release date:	2010
First published:	2010
Authors:	Peter S. Rudman
Dimensions:	235 x 160 x 20mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	248
ISBN-13:	978-1-59102-773-7
Categories:	Books > Science & Mathematics > Mathematics > History of mathematics Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Promotions
LSN:	1-59102-773-X
Barcode:	9781591027737

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!