: Mathematics: geometry of numbers

mathematical analysis > functional analysis > geometry of numbers

number > number theory > geometry of numbers

geometry > discrete geometry > geometry of numbers

number > real number > Diophantine approximation > 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 ${\\displaystyle \\mathbb {R} ^{n},}$ and the study of these lattices provides fundamental information on algebraic numbers. The geometry of numbers was initiated by Hermann Minkowski (1910). 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, The Free Encyclopedia, https://en.wikipedia.org/wiki/Geometry_of_numbers)

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