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Geometry and topology – branch of mathematics at the intersection between geometry and topology; History of geometry – Historical development of geometry; Timeline of ancient Greek mathematicians; Timeline of mathematical logic; Timeline of mathematics
In geometry, there was a clear need for a new set of axioms, which would be complete, and which in no way relied on pictures we draw or on our intuition of space. Such axioms, now known as Hilbert's axioms, were given by David Hilbert in 1894 in his dissertation Grundlagen der Geometrie (Foundations of Geometry).
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 ...
Of these mathematicians, those whose work stands out include: Thales of Miletus (c. 624/623 – c. 548/545 BC) is the first known individual to use deductive reasoning applied to geometry, by deriving four corollaries to Thales' theorem.
Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, [a] which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental ...
Timeline of geometry; Babylonian geometry; Egyptian geometry; Ancient Greek geometry Euclidean geometry. Pythagorean theorem; Euclid's Elements; Measurement of a Circle; Indian mathematics. Bakhshali manuscript; Modern geometry History of analytic geometry. History of the Cartesian coordinate system; History of non-Euclidean geometry; History ...
Pages in category "History of geometry" The following 38 pages are in this category, out of 38 total. ... Timeline of ancient Greek mathematicians; History of ...
1659 - Second edition of Van Schooten's Latin translation of Descartes' Geometry with appendices by Hudde and Heuraet, 1665 - Isaac Newton discovers the generalized binomial theorem and develops his version of infinitesimal calculus, 1667 - James Gregory publishes Vera circuli et hyperbolae quadratura, 1668 - Nicholas Mercator publishes ...