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In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See Areas of mathematics and Algebraic geometry.)
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]
Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described (although non-rigorously by modern standards) in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.
The first book on the systematic algebraic solutions of linear and quadratic equations by the Persian scholar Muhammad ibn Mūsā al-Khwārizmī. The book is considered to be the foundation of modern algebra and Islamic mathematics. [10] The word "algebra" itself is derived from the al-Jabr in the title of the book. [11]
Robin Hartshorne (1938–) – geometry, algebraic geometry; Phillip Griffiths (1938–) – algebraic geometry, differential geometry; Enrico Bombieri (1940–) – algebraic geometry; Robert Williams (1942–) Peter McMullen (1942–) Richard S. Hamilton (1943–2024) – differential geometry, Ricci flow, Poincaré conjecture; Mikhail Gromov ...
Moise joined the School Mathematics Study Group when it started in 1958, as a member of the geometry writing team. The team produced several course outlines and sample pages for a 10th grade geometry course, and then Moise and Floyd L. Downs wrote a geometry textbook, based on the team's approach, that was published in 1964.
Download as PDF; Printable version; ... Pages in category "History of geometry" ... Book on the Measurement of Plane and Spherical Figures; M.
In general, math textbooks which focus on instruction in standard arithmetic methods can be categorized as a traditional math textbook. Reform math textbooks will often focus on conceptual understanding, usually avoiding immediate instruction of the standard algorithms and frequently promoting student exploration and discovery of the relevant ...