Amazing traces of a Babylonian origin in Greek mathematics / Jöran Friberg.
2007
QA22
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Details
Title
Amazing traces of a Babylonian origin in Greek mathematics / Jöran Friberg.
Author
ISBN
9812708847 (electronic bk.)
9789812708847 (electronic bk.)
1281121355
9781281121356
9812704523 (Cloth)
9789812704528 (hbk.)
9786611121358
6611121358
9789812708847 (electronic bk.)
1281121355
9781281121356
9812704523 (Cloth)
9789812704528 (hbk.)
9786611121358
6611121358
Imprint
Hackensack, N.J. ; London : World Scientific, ©2007.
Language
English
Language Note
English.
Description
1 online resource (xx, 476 pages : illustrations
Call Number
QA22
System Control No.
(OCoLC)317384466
Summary
The sequel to "Unexpected Links Between Egyptian and Babylonian Mathematics" (World Scientific, 2005), this book is based on the author's intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian "metric algebra," a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tablets. The book's use of "metric algebra diagrams" in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract "lettered diagrams" in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The author's comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics
Note
Title from e-book title screen (viewed February 27, 2008).
Bibliography, etc. Note
Includes bibliographical references and index.
Formatted Contents Note
Elements II and Babylonian metric algebra
El. I.47 and the old Babylonian diagonal rule
Lemma El. X.28/29 1a, Plimpton 322, and Babylonian igi-igi.bi problems
Lemma El. X.32/33 and an old Babylonian geometric progression
Elements X and Babylonian metric algebra
Elements IV and old Babylonian figures within figures
El. VI. 30, XIII. 1-12, and regular polygons in Babylonian mathematics
El. XIII. 13-18 and regular polyhedrons in Babylonian mathematics
Elements XII and pyramids and cones in Babylonian mathematics
El. I.43-44, El. VI. 24-29, Data 57-59, 84-86, and metric algebra
Euclid's lost book on divisions and Babylonian striped figures
Hippocrates' lunes and Babylonian figures with curved boundaries
Traces of Babylonian metric algebra in the Arithmetica of Diophantus
Heron's, Ptolemy's, and Brahmagupta's area and diagonal rules
Theon of Smyrna's side and diagonal numbers and ascending infinite chains of birectangles
Greek and Babylonian square side approximations
Theodorus of Cyrene's irrationality proof and descending infinite chains of birectangles
The pseudo-Heronic geometrica.
El. I.47 and the old Babylonian diagonal rule
Lemma El. X.28/29 1a, Plimpton 322, and Babylonian igi-igi.bi problems
Lemma El. X.32/33 and an old Babylonian geometric progression
Elements X and Babylonian metric algebra
Elements IV and old Babylonian figures within figures
El. VI. 30, XIII. 1-12, and regular polygons in Babylonian mathematics
El. XIII. 13-18 and regular polyhedrons in Babylonian mathematics
Elements XII and pyramids and cones in Babylonian mathematics
El. I.43-44, El. VI. 24-29, Data 57-59, 84-86, and metric algebra
Euclid's lost book on divisions and Babylonian striped figures
Hippocrates' lunes and Babylonian figures with curved boundaries
Traces of Babylonian metric algebra in the Arithmetica of Diophantus
Heron's, Ptolemy's, and Brahmagupta's area and diagonal rules
Theon of Smyrna's side and diagonal numbers and ascending infinite chains of birectangles
Greek and Babylonian square side approximations
Theodorus of Cyrene's irrationality proof and descending infinite chains of birectangles
The pseudo-Heronic geometrica.
Digital File Characteristics
data file
Available in Other Form
Print version: Friberg, Jöran. Amazing traces of a Babylonian origin in Greek mathematics. Hackensack, NJ : World Scientific, ©2007
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