Geometry of numbers

Geometry of numbers

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 and the study of these lattices provides fundamental information on algebraic numbers. The geometry of numbers was initiated by Hermann Minkowski. The geometry of numbers has a close relationship with other fields of mathematics, especially functional analysis and Diophantine approximation, the problem of finding rational numbers that approximate an irrational quantity. (Wikipedia).

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Linear subspace | Diophantine approximation | Functional analysis | Harold Davenport | Lattice (group) | Minkowski's theorem | Topological vector space | John Horton Conway | Algebraic number | Linear independence | Subspace theorem | Minkowski's second theorem | Banach space | Computing the Continuous Discretely | Rational number | Edmund Hlawka | Number theory | J. W. S. Cassels | Hermann Weyl | Peter M. Gruber | Irrational number | Geometry | Convex set | Carl Ludwig Siegel