5000 Years of Geometry: Mathematics in History and Culture

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9783034808972: 5000 Years of Geometry: Mathematics in History and Culture

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. Nádenik (Czech Technical University in Prague)

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Review :

“The book is highly readable and richly illustrated. This book contains a wealth of geometric and historic information. It also contains a list of references, a list of figures together with their provenances, an index of names, and an index of subjects. ... the book is a well researched history of geometry reference manual and would make a welcome addition to any mathematician’s bookshelf.” (James J. Tattersall, Mathematical Reviews, December, 2015)

“It is a very good book indeed, and an important and valuable addition to the literature on the subject. ... the book is interesting and well-written, and filled with excellent figures ... . The topic coverage throughout is excellent, and readers should learn a great deal from this book. ... this is an important and valuable book. If you like either geometry or the history of mathematics, take a look at it.” (Mark Hunacek, MAA Reviews, June, 2015)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Scriba, Christoph J., Schreiber, Peter
Edité par Birkh?user (2015)
ISBN 10 : 3034808976 ISBN 13 : 9783034808972
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Description du livre Birkh?user, 2015. État : New. 5000 Years of Geometry Translator(s): Schreiber, Jana. Num Pages: 638 pages, 157 black & white illustrations, 156 colour illustrations, biography. BIC Classification: PBM; PBX. Category: (P) Professional & Vocational. Dimension: 245 x 166 x 30. Weight in Grams: 1028. . 2015. 2015th Edition. Hardcover. . . . . . N° de réf. du libraire V9783034808972

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Christoph J. Scriba (author), Peter Schreiber (author), Jana Schreiber (translator)
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Description du livre Springer Basel 2015-05-05, Basel, 2015. hardback. État : New. N° de réf. du libraire 9783034808972

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Description du livre Springer Basel. Hardback. État : new. BRAND NEW, 5000 Years of Geometry, Christoph J. Scriba, Peter Schreiber, Jana Schreiber, 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). N° de réf. du libraire B9783034808972

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Scriba, Christoph J., Schreiber, Peter
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Description du livre Birkhäuser. État : New. 5000 Years of Geometry Translator(s): Schreiber, Jana. Num Pages: 638 pages, 157 black & white illustrations, 156 colour illustrations, biography. BIC Classification: PBM; PBX. Category: (P) Professional & Vocational. Dimension: 245 x 166 x 30. Weight in Grams: 1028. . 2015. 2015th Edition. Hardcover. . . . . Books ship from the US and Ireland. N° de réf. du libraire V9783034808972

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Christoph J. Scriba
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Description du livre Springer Basel, 2015. HRD. État : New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire IP-9783034808972

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CHRISTOPH J. SCRIBA
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Description du livre Birkhäuser, 2015. Hardback. État : NEW. 9783034808972 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE0886794

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Christoph J. Scriba; Peter Schreiber
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