5000 years of geometry : mathematics in history and culture
著者
書誌事項
5000 years of geometry : mathematics in history and culture
Birkhäuser , Springer, c2015
大学図書館所蔵 全6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
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references (p. 579-597) and index
内容説明・目次
内容説明
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book "5000 Jahre Geometrie," in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering.
Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first "Golden Age" in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries.
Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr
y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times.
The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history.
From letters to the authors for the German language edition
I hope it gets a translation, as there is no comparable work.
Prof. J. Grattan-Guinness (Middlesex University London)
"Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically!
Prof. J.W. Dauben (City University of New York)
An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ...
The graphic design is also excellent.
Prof. Z. Nadenik (Czech Technical University in Prague)
目次
Introduction.- 1.The beginnings of geometrical representations and calculations.- 2.Geometry in the Greek-Hellenistic era and late Antiquity.- 3.Oriental and old American geometry.- 4.Geometry in the European Middle Ages.- 5.New impulses for geometry during the Renaissance.- 6.The development of geometry in the 17th/18th centuries.- 7.New paths of geometry in the 19th century.- 8.Geometry in the 20th century.- Appendix: Selection of original texts.- References.- List of Figures.- Index of Names.- Index of Subjects.
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