Examples of using Geometry of numbers in English and their translations into Tagalog
{-}
-
Ecclesiastic
-
Colloquial
-
Computer
Geometry of numbers and its applications to algebraic number theory.
Then in 1959 he published another book,An introduction to the geometry of numbers.
At this time Davenport worked mainly on the geometry of numbers and on Diophantine approximation;
The mathematical topics that Delone studied include algebra, the geometry of numbers.
Blichfeldt wrote papers on the geometry of numbers and he has an important book Finite Collineation Groups.
He had broad interests,working on mathematical economics as well as group theory and the geometry of numbers.
Together with Davenport and Mahler,Mordell initiated great advances in the geometry of numbers while he held the Chair of Pure Mathematics at Manchester.
He may, without doubt, be called a leading scholar in the splendid andimportant field of geometry of numbers.
Davenport worked on number theory,in particular the geometry of numbers, Diophantine approximation and the analytic theory of numbers. .
Later Voronoy worked on the theory of numbers, in particular he worked on algebraic numbers and the geometry of numbers.
During the decade 1939-49 he wrote a series of papers dealing with the geometry of numbers, in particular dealing with Minkowski 's inequality for convex bodies.
This lecture is particularly interesting, for it contains the first example of the method which Minkowski would develop some years later in his famous"geometry of numbers".
There he was influenced by Mordell to become interested in both the geometry of numbers and Diophantine approximation.
Work on the geometry of numbers led on to work on convex bodies and to questions about packing problems, the ways in which figures of a given shape can be placed within another given figure.
His mathematical publications started in about 1947 with a series of papers on the geometry of numbers, in particular papers on theorems of Khinchin and of Davenport, and on a problem of Mahler.
Zassenhaus worked on a broad range of topics and, in addition to those mentioned above, he worked on nearfields, the theory of orders,representation theory, the geometry of numbers and the history of mathematics.
It gave an elementary account of his work on the geometry of numbers and of its applications to the theories of Diophantine approximation and of algebraic numbers. .
Some of the many topics that he covered were diophantine approximations, orders of linear homogeneous groups,theory of geometry of numbers, approximate solutions of the integers of a set of linear equations, low-velocity fire angle, finite collineation groups, and characteristic roots.
Other major themes of his work were p-adic numbers, p-adic Diophantine approximation, geometry of numbers(a term coined by Minkowski to describe the mathematics of packings and coverings) and measure on polynomials.
Study became a leader in the geometry of complex numbers.
In ancient Greece the Pythagoreans considered the role of numbers in geometry.