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Geometry (from the Ancient Greek: γεωμετρία; geo-"earth", -metron "measurement") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ().
1135 – Sharafeddin Tusi followed al-Khayyam's application of algebra to geometry, and wrote a treatise on cubic equations which "represents an essential contribution to another algebra which aimed to study curves by means of equations, thus inaugurating the beginning of algebraic geometry." [2]
Edited volume, with an introduction by J.J. Gray and the co-editor, Karen Parshall, American and London Mathematical Societies Series in the History of Mathematics, HMath32, 2007. He has also contributed to other books: The Princeton Companion to Mathematics; The Oxford Handbook of the History of Mathematics; Revolutions in Mathematics
Download QR code; Print/export ... Pages in category "History of geometry" ... This page was last edited on 6 January 2023, ...
Ancestral to the modern concept of a manifold were several important results of 18th and 19th century mathematics. The oldest of these was Non-Euclidean geometry, which considers spaces where Euclid's parallel postulate fails. Saccheri first studied this geometry in 1733. Lobachevsky, Bolyai, and Riemann developed the subject further 100 years ...
The process of unification might be seen as helping to define what constitutes mathematics as a discipline. For example, mechanics and mathematical analysis were commonly combined into one subject during the 18th century, united by the differential equation concept; while algebra and geometry were considered largely distinct.
On p. 139 Guggenheimer sums up the field by noting, "A Klein geometry is the theory of geometric invariants of a transitive transformation group (Erlangen program, 1872)". Thomas Hawkins (1984) "The Erlanger Program of Felix Klein: Reflections on Its Place In the History of Mathematics", Historia Mathematica 11:442–70.
Boethius provided a place for mathematics in the curriculum in the 6th century when he coined the term quadrivium to describe the study of arithmetic, geometry, astronomy, and music. He wrote De institutione arithmetica , a free translation from the Greek of Nicomachus 's Introduction to Arithmetic ; De institutione musica , also derived from ...