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The Resource 5000 Years of Geometry : Mathematics in History and Culture, by Christoph J. Scriba, Peter Schreiber, (electronic resource)

5000 Years of Geometry : Mathematics in History and Culture, by Christoph J. Scriba, Peter Schreiber, (electronic resource)

Creator
Author
Contributor
Summary
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 z5000 Jahre Geometrie, y 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 zGolden Agey 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 geome try 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. Nádenik (Czech Technical University in Prague)
Language
eng
Work
Publication
Extent
XII, 626 p. 313 illus., 156 illus. in color.
Contents
  • 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
Isbn
9783034808989
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0898-9
Instance
Label
5000 Years of Geometry : Mathematics in History and Culture
Title
5000 Years of Geometry
Title remainder
Mathematics in History and Culture
Statement of responsibility
by Christoph J. Scriba, Peter Schreiber
Creator
Contributor
Author
Subject
Language
eng
Summary
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 z5000 Jahre Geometrie, y 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 zGolden Agey 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 geome try 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. Nádenik (Czech Technical University in Prague)
Member of
http://library.link/vocab/creatorName
Scriba, Christoph J
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Schreiber, Peter.
  • SpringerLink (Online service)
http://library.link/vocab/subjectName
  • Mathematics
  • Geometry
  • History
Label
5000 Years of Geometry : Mathematics in History and Culture, by Christoph J. Scriba, Peter Schreiber, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0898-9
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
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
Control code
978-3-0348-0898-9
Dimensions
unknown
Extent
XII, 626 p. 313 illus., 156 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034808989
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0898-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086439305
Label
5000 Years of Geometry : Mathematics in History and Culture, by Christoph J. Scriba, Peter Schreiber, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0898-9
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
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
Control code
978-3-0348-0898-9
Dimensions
unknown
Extent
XII, 626 p. 313 illus., 156 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034808989
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0898-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086439305

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