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James IV (17 March 1473 – 9 September 1513) was King of Scotland from 11 June 1488 until his death at the Battle of Flodden in 1513. He inherited the throne at the age of fifteen on the death of his father, James III, at the Battle of Sauchieburn, following a rebellion in which the younger James was the figurehead of the rebels.
James Gregory FRS (November 1638 – October 1675) was a Scottish mathematician and astronomer.His surname is sometimes spelt as Gregorie, the original Scottish spelling.He described an early practical design for the reflecting telescope – the Gregorian telescope – and made advances in trigonometry, discovering infinite series representations for several trigonometric functions.
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Geometry is initially the study of spatial figures like circles and cubes, though it has been generalized considerably. Topology developed from geometry; it looks at those properties that do not change even when the figures are deformed by stretching and bending, like dimension. Glossary of differential geometry and topology; Glossary of ...
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Geometry is one of the oldest mathematical sciences.
[6]: 199 It was considered the foundation for the study of philosophy (sometimes called the "liberal art par excellence") [7] and theology. The quadrivium was the upper division of medieval educational provision in the liberal arts, which comprised arithmetic (number in the abstract), geometry (number in space), music (number in time), and ...
Geometry of numbers is the part of number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed as a lattice in R n , {\displaystyle \mathbb {R} ^{n},} and the study of these lattices provides fundamental information on algebraic numbers. [ 1 ]
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations.The key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form that vanishes under the Laplacian operator of the metric.