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...

The Geometry of Numbers is a book on the geometry of numbers, an area of mathematics in which the geometry of lattices, repeating sets of points in the...

Geometry of Complex Numbers is an undergraduate textbook on geometry, whose topics include circles, the complex plane, inversive geometry, and non-Euclidean...

many prime numbers. Books XI–XIII concern solid geometry. A typical result is the 1:3 ratio between the volume of a cone and a cylinder with the same height...

the properties of and relations between numbers. Geometric number theory uses concepts from geometry to study numbers. Further branches of number theory...

Lithuanian-German, or Russian. He created and developed the geometry of numbers and elements of convex geometry, and used geometrical methods to solve problems...

properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics...

Taxicab geometry or Manhattan geometry is geometry where the familiar Euclidean distance is ignored, and the distance between two points is instead defined...

discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming, probability theory, game theory, etc. According to the Mathematics...

In the geometry of numbers, the Klein polyhedron, named after Felix Klein, is used to generalize the concept of simple continued fractions to higher dimensions...

In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts...

areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes...

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine and standardize the position of the points...

not just the integer lattice. The theorem can be classified as belonging to convex geometry, discrete geometry, and the geometry of numbers. It is named...

of numbers Hyperbolic geometry Incidence geometry Information geometry Integral geometry Inversive geometry Inversive ring geometry Klein geometry Lie...

second theorem is a result in the geometry of numbers about the values taken by a norm on a lattice and the volume of its fundamental cell. Let K be...

combinatorial number theory and the geometry of numbers. Principal objects of study include the sumset of two subsets A and B of elements from an abelian group...

enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by means of intersection...

arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around...

These were used in the initial development of calculus, and are used in synthetic differential geometry. Hyperreal numbers: The numbers used in non-standard...

excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers;...

In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical...

In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical...

the geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves". He was also a member of the...

the geometry of numbers by Minkowski, and map colourings by Tait, Heawood, and Hadwiger. László Fejes Tóth, H.S.M. Coxeter, and Paul Erdős laid the foundations...

older name of Ricci calculus Absolute geometry Also called neutral geometry, a synthetic geometry similar to Euclidean geometry but without the parallel...

role in the theory of differential equations and transcendental numbers as well as in open problems of modern arithmetical algebraic geometry. They also...

space Complex geometry Geometry of numbers Dual-complex number Eisenstein integer Geometric algebra (which includes the complex plane as the 2-dimensional...

principle in the geometry of numbers", The Geometry of Numbers, Anneli Lax New Mathematical Library, vol. 41, Mathematical Association of America, Washington...

group theory, the representation theory of finite groups, the geometry of numbers, sphere packing, and quadratic forms. He is the namesake of Blichfeldt's...