Amazing traces of a Babylonian origin in Greek mathematics
著者
書誌事項
Amazing traces of a Babylonian origin in Greek mathematics
World Scientific, c2007
大学図書館所蔵 全2件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
A 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.
目次
- Elements II and Babylonian Metric Algebra
- El.I.47 and the Old Babylonian Diagonal Rule
- Lemma El. X.28/29, 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 and Brahmagupta's Area 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
- A Chain of Trapezoids with Fixed Diagonals
- A Catalog of Babylonian Geometric Figures.
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