5000 Years of Geometry: Mathematics in History and Culture by Christoph J. Scriba, Peter Schreiber, Jana Schreiber

By Christoph J. Scriba, Peter Schreiber, Jana Schreiber

The current quantity offers a desirable review of geometrical principles and perceptions from the earliest cultures to the mathematical and creative recommendations of the twentieth century. it's the English translation of the third version of the well-received German booklet “5000 Jahre Geometrie,” during which geometry is gifted as a series of advancements in cultural background and their interplay with structure, the visible arts, philosophy, technology and engineering.

Geometry originated within the historical cultures alongside the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in historical Greece. encouraged by way of the Greek arithmetic, a brand new germ of geometry blossomed within the Islamic civilizations. throughout the Oriental effect on Spain, this information later unfold to Western Europe. right here, as a part of the medieval Quadrivium, the knowledge of geometry used to be deepened, resulting in a revival in the course of the Renaissance. including parallel achievements in India, China, Japan and the traditional American cultures, the eu methods shaped the information and branches of geometry we all know within the sleek age: coordinate equipment, analytical geometry, descriptive and projective geometry within the seventeenth an 18th centuries, axiom structures, geometry as a concept with a number of buildings and geometry in laptop sciences within the nineteenth and twentieth centuries.

Each bankruptcy of the e-book begins with a desk of key historic and cultural dates and ends with a precis of crucial contents of geometry within the respective period. Compelling examples invite the reader to extra discover the issues of geometry in historical and glossy times.

The e-book will entice mathematicians drawn to Geometry and to all readers with an curiosity in cultural history.

From letters to the authors for the German language edition

I desire it will get a translation, as there's no related work.

Prof. J. Grattan-Guinness (Middlesex collage London)

"Five Thousand Years of Geometry" - i believe it's the so much good-looking ebook i've got ever noticeable from Springer and the inclusion of such a lot of colour plates particularly improves its visual appeal dramatically!

Prof. J.W. Dauben (City collage of latest York)

An very good ebook in each recognize. The authors have effectively mixed the historical past of geometry with the overall improvement of tradition and historical past. …

The photograph layout is usually excellent.

Prof. Z. Nádenik (Czech Technical collage in Prague)

**

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Additional info for 5000 Years of Geometry: Mathematics in History and Culture

Example text

Kurt Vogel: Vorgriechische Mathematik (Pre-Greek Mathematics), part II. Illus. 69: M´emoires de la Mission Arch´eologique fran¸caise en Iran, Tome XXXIV p. 12] [Bruins and Rutten, published by Paul Geuthner, Paris 1961] length (x). 4). The widespread division problems also form a part of geometry. For instance, if we want to divide any four-sided field with the sides a, b, c, d into two parts of equal area by means of a transversal x, which runs from b to d, we follow the instruction below: x= (a2 + c2 ) .

B) Consider that this cube can also be divided into three congruent oblique pyramids of height a (only use one spatial diagonal)! c) Is it possible to apply this train of thought to a cuboid with sides a, b, c? 3: Volume of a pyramid frustum Derive the formula for calculating the volume of a pyramid frustum by using the formula for calculating volume V of a pyramid, V = 13 · B · h (B = base, h = height), and by dividing the frustum (base = a2 , top surface area = b2 , height = h) into a cuboid, four lateral rest prisms and four corner pyramids!

Scriba, P. 1007/978-3-0348-0898-9_2 27 28 3rd /2nd milennium Approx. 1000 BC ∼900 BC 8th –6th century BC Approx. 600 – approx 450 490 490–448 Approx. 450–300 462–429 431–404 387 From 338 335 334–323 311 Approx. 0 Introduction Generally speaking, the Greeks are accepted to be the founders of the natural sciences, in other words, of rational explanations of natural phenomena based on principles and systems. At the same time, it was they who systemised and accounted for rules and instructions passed on (partially by the Oriental cultures) for counting, measuring and solving equations by means of a selfdeveloped logic.

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