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Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Peter S. Rudman (Tel Aviv, Israel), a retired professor of physics at the Technion-Israel Institute of Technology, is the author of How Mathematics Happened: The First 50,000 Years, which was selected in 2008 as an Outstanding Academic Text by the American Library Association.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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The Babylonian Theorem: The Mathematical Journey to Pythagoras and Euclid
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Prometheus, 2010
ISBN 10 : 159102773X
ISBN 13 : 9781591027737
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hardcover. Etat : Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! N° de réf. du vendeur S_425770107
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The Babylonian Theorem : The Mathematical Journey to Pythagoras and Euclid
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Rowman & Littlefield Publishers, Incorporated, 2010
ISBN 10 : 159102773X
ISBN 13 : 9781591027737
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The Babylonian Theorem: The Mathematical Journey to Pythagoras and Euclid
Edité par
Prometheus, 2010
ISBN 10 : 159102773X
ISBN 13 : 9781591027737
Ancien ou d'occasion
Couverture rigide
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The Babylonian Theorem
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Prometheus Books, 2010
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Hardcover. Etat : Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.12. N° de réf. du vendeur G159102773XI4N00
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The Babylonian Theorem
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Prometheus Books, 2010
ISBN 10 : 159102773X
ISBN 13 : 9781591027737
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Hardcover. Etat : Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.12. N° de réf. du vendeur G159102773XI3N10
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The Babylonian Theorem: The Mathematical Journey to Pythagoras and Euclid
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Prometheus, 2010
ISBN 10 : 159102773X
ISBN 13 : 9781591027737
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The Babylonian Theorem: The Mathematical Journey to Pythagoras and Euclid
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Prometheus, 2010
ISBN 10 : 159102773X
ISBN 13 : 9781591027737
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Babylonian Theorem : The Mathematical Journey to Pythagoras and Euclid
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The Babylonian Theorem (Hardcover)
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Prometheus Books, Amherst, 2010
ISBN 10 : 159102773X
ISBN 13 : 9781591027737
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Hardcover. Etat : new. 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 visualisations 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 non-metric 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. This is a masterful, fascinating, and entertaining book, which will interest both math enthusiasts and students of history. Explores the history of mathematics among the Babylonians and Egyptians, showing how their scribes in the era from 2000 to 1600 BCE used visualisations 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781591027737
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The Babylonian Theorem (Hardback or Cased Book)
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Prometheus Books 1/26/2010, 2010
ISBN 10 : 159102773X
ISBN 13 : 9781591027737
Neuf
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Hardback or Cased Book. Etat : New. The Babylonian Theorem 1.02. Book. N° de réf. du vendeur BBS-9781591027737
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