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)
In their book “5000 Jahre Geometrie” (5000 years of geometry), mathematicians Scriba and Schreiber propose the idea that alongside a “professional, deductive mathematics”, there is “a non-professional and subliminal mathematics which ...
Scriba, C. J., & Schreiber, P. 2015. 5000 years of geometry: Mathematics in history and culture. Basel, Switzerland: Birkhäuser. Seidenberg, A. 1959. Peg and cord in ancient Greek geometry. Scripta Mathematica, 24(2), 107–122.
Geometry is a branch of mathematics that studies the properties of two- and threedimensional figures such as triangles, circles, cylinders, and spheres. More than 5,000 years ago, Egyptian surveyors used geometry to measure areas of ...
An axiomatic approach to Euclidean geometry was formulated by the Greek mathematician Euclid (about 360 B.C.–290 B.C.) ... The fascinating history of geometry is described by C. Scriba and P. Schreiber, 5000 Years of Geometry, Springer, ...
and geometry.8 This rationalisation is also central to the cosmogony in plato's Timaeus, in which god becomes atechnician ... It was this spirit that led to the great achievements of Greek geometry. ... Schreiber, 5000 Years of Geometry:
The word Geometry comes from two Greek words meaning 'earth' and 'measure,' which was known 5000 years ago as sulba/sulva, or rule of chords. Considering an object, geometry examines its shape, measures its size, especially its length, ...
Maxfield, J.E.; Coolidge, J.L. A History of Geometrical Methods, 1st ed.; Dover Publications: New York, NY, USA, 2003. 4. Scriba, C.J.; Schreiber, P. 5000 Jahre Geometrie: Geschichte, Kulturen, Menschen (English: 5000 Years of Geometry: ...
An Introduction to Convex Geometry with Applications Horst Martini, Luis Montejano, Déborah Oliveros. 1033. 1034. 1035. 1036. 1037. 1038. 1039. 1040. ... (2) 32(127), 345–348 (1981) Scriba, C.J., Schreiber, P.: 5000 Years of Geometry.
With an emphasis on real-world math applications, the Sixth Edition of INTRODUCTORY TECHNICAL MATHEMATICS provides readers with current and practical technical math applications for today's sophisticated trade and technical work ...
Oil well Pipe Pipe Total underwater underground pipe (mi) (mi) (mi) Design 1 Design 2 94. DRIVING DIRECTIONS Find the total distance of the trip using the information in the MapQuest printout shown below. 1: Start out going EAST on ...