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

By Christoph J. Scriba, Peter Schreiber, Jana Schreiber

ISBN-10: 3034808976

ISBN-13: 9783034808972

The current quantity presents a desirable assessment of geometrical rules and perceptions from the earliest cultures to the mathematical and creative thoughts of the 20 th century. it's the English translation of the third variation of the well-received German e-book “5000 Jahre Geometrie,” during which geometry is gifted as a series of advancements in cultural heritage and their interplay with structure, the visible arts, philosophy, technological know-how and engineering.

Geometry originated within the historic cultures alongside the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in historic Greece. encouraged via the Greek arithmetic, a brand new germ of geometry blossomed within the Islamic civilizations. during the Oriental effect on Spain, this information later unfold to Western Europe. right here, as a part of the medieval Quadrivium, the certainty of geometry was once deepened, resulting in a revival through the Renaissance. including parallel achievements in India, China, Japan and the traditional American cultures, the ecu techniques shaped the tips and branches of geometry we all know within the glossy age: coordinate tools, analytical geometry, descriptive and projective geometry within the seventeenth an 18th centuries, axiom platforms, geometry as a conception with a number of buildings and geometry in laptop sciences within the nineteenth and twentieth centuries.

Each bankruptcy of the e-book starts off with a desk of key old and cultural dates and ends with a precis of crucial contents of geometry within the respective period. Compelling examples invite the reader to additional discover the issues of geometry in historical and smooth times.

The publication will entice mathematicians attracted to Geometry and to all readers with an curiosity in cultural history.

From letters to the authors for the German language edition

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

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

"Five Thousand Years of Geometry" - i feel it's the such a lot good-looking booklet i've got ever obvious from Springer and the inclusion of such a lot of colour plates relatively improves its visual appeal dramatically!

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

An very good publication in each admire. The authors have effectively mixed the background of geometry with the overall improvement of tradition and background. …

The photograph layout is additionally excellent.

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

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

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3 Pythagoras and the Pythagoreans Unfortunately, reliable texts are scarce concerning the early development of mathematics in ancient Greece and subsequent eras, if we ignore the fact that Pythagoras of Samos chronologically follows Thales. Pythagoras is said to have acquired his wealth of knowledge on his great journeys, during which it is believed that he gained his mathematical expertise from Babylonian sources. Soon after the middle of the 6th century, he immigrated to Croton in lower Italy, where he founded a religious/philosophical community and soon turned into a mythical figure.

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. These were summarised into a system of theories, which made them the founders of scientific mathematics.

Nicomedes conceived of an instrument that accomplished this condition mechanically (cf. [Scriba 1992]). Due to their shape, the curves constructed with this instrument were given the name ‘conchoid’ or ‘cochleoid’, which literally translates to ‘shell curve’. The instrument consists of two straightedges that have the shape of a ‘T’ and are firmly attached to each other. A third straightedge can move on those in a certain manner (Illus. 5). Illus. 5 Nicomedes’ conchoid and the instrument required for its mechanical construction The first straightedge AF B has a slot longitudinally.

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