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Books > Science & Mathematics > Mathematics > History of mathematics
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5000 Years of Geometry - Mathematics in History and Culture (Hardcover, 2015 ed.)
Loot Price: R5,199
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5000 Years of Geometry - Mathematics in History and Culture (Hardcover, 2015 ed.)
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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)
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