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Amazing traces of a Babylonian origin in Greek mathematics /
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 argue...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hackensack, N.J. ; London :
World Scientific,
©2007.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Friberg, Jöran. | |
| 245 | 1 | 0 | |a Amazing traces of a Babylonian origin in Greek mathematics / |c Jöran Friberg. |
| 260 | |a Hackensack, N.J. ; |a London : |b World Scientific, |c ©2007. | ||
| 300 | |a 1 online resource (xx, 476 pages : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 500 | |a Title from e-book title screen (viewed February 27, 2008). | ||
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a 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 | ||
| 505 | 0 | |a 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. | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Mathematics, Greek. | |
| 650 | 0 | |a Mathematics, Babylonian. | |
| 650 | 6 | |a Mathématiques grecques. | |
| 650 | 6 | |a Mathématiques babyloniennes. | |
| 650 | 7 | |a MATHEMATICS |x History & Philosophy. |2 bisacsh | |
| 650 | 7 | |a Mathematics, Babylonian |2 fast | |
| 650 | 7 | |a Mathematics, Greek |2 fast | |
| 758 | |i has work: |a Amazing traces of a Babylonian origin in Greek mathematics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFRCGkM7Jb9wkbT4P8VWfy |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Friberg, Jöran. |t Amazing traces of a Babylonian origin in Greek mathematics. |d Hackensack, NJ : World Scientific, ©2007 |z 9789812704528 |z 9812704523 |w (OCoLC)123114822 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=312341 |z Texto completo |
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