By Christoph J. Scriba, Peter Schreiber, Jana Schreiber
The current quantity presents a desirable review of geometrical rules and perceptions from the earliest cultures to the mathematical and inventive suggestions of the 20 th century. it's the English translation of the third variation of the well-received German booklet “5000 Jahre Geometrie,” within which geometry is gifted as a series of advancements in cultural heritage and their interplay with structure, the visible arts, philosophy, technology and engineering.
Geometry originated within the old cultures alongside the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in old Greece. encouraged through the Greek arithmetic, a brand new germ of geometry blossomed within the Islamic civilizations. throughout the Oriental impression on Spain, this data later unfold to Western Europe. the following, as a part of the medieval Quadrivium, the certainty 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 ecu 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 idea with a number of constructions and geometry in laptop sciences within the nineteenth and twentieth centuries.
Each bankruptcy of the booklet 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 additional discover the issues of geometry in historic and glossy times.
The booklet will attract 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 desire it will get a translation, as there isn't any related work.
Prof. J. Grattan-Guinness (Middlesex college London)
"Five Thousand Years of Geometry" - i feel it's the such a lot good-looking publication i've got ever visible 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 first-class booklet in each recognize. The authors have effectively mixed the heritage of geometry with the final improvement of tradition and background. …
The photograph layout is usually excellent.
Prof. Z. Nádenik (Czech Technical college in Prague)
Read Online or Download 5000 Years of Geometry: Mathematics in History and Culture PDF
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Extra info for 5000 Years of Geometry: Mathematics in History and Culture
Alten] “But Eudemus states in his ‘History of geometry’ that this theorem is to be accredited to Thales. ” [Proclus/Morrow 1992, p. 409]. We notice instantly that the theorems mostly refer to elementary symmetric ratios. The fact that Thales is said to have been the ﬁrst to ‘ﬁnd’ and say these theorems aloud can mean at most that he was the ﬁrst Greek to have phrased these theorems explicitly. , considerations of how to prove these theorems. The second of the Proclus quotes shows that such assumptions stand on rather wobbly ground.
This interpretation led to the sensational conclusion that Plimpton 322 was indeed a trigonometric table from the Babylonian era. Other researchers attempted a number-theoretic interpretation based on reciprocal number pairs. In both cases, we would be dealing with a highly abstract text, which until then had not been demonstrable in Mesopotamian mathematics. Besides, our knowledge of the Babylonian angle concept contradicts a trigonometric interpretation. Since the view had been accepted during the last decades that such texts should not be analysed in isolation but under consideration of the entire cultural environment, both interpretations were doubted, especially the one by Eleanor Robson [Robson 2001].
W. Alten] First, he mentions the art of counting and calculating; we will skip its justiﬁcation here. Then, the dialogue partners agree on geometry as the second science. Again, its use for commanders of war is cited ﬁrst: “Clearly, he said, we are concerned with that part of geometry which relates to war; for in pitching a camp, or taking up a position, or closing or extending the lines of an army, or any other military manoeuvre, whether in actual battle or on a march, it will make all the diﬀerence whether a general is or is not a geometrician.