In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on...

A composite field or compositum of fields is an object of study in field theory. Let L be a field, and let F, K be subfields of L. Then the (internal)...

and their fields of application. The contemporary Mathematics Subject Classification lists more than sixty first-level areas of mathematics. The word...

algebraic number fields, and the algebraic closure of Q {\displaystyle \mathbb {Q} } is the field of algebraic numbers. In mathematical analysis, the rational...

In mathematics, a near-field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws. Alternatively...

engineering, economics, and mathematics); adds economics as a field STEMIE (science, technology, engineering, mathematics, invention, and entrepreneurship);...

of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. Research in discrete mathematics increased...

In mathematics, a field F is algebraically closed if every non-constant polynomial in F[x] (the univariate polynomial ring with coefficients in F) has...

Mathematical Union (IMU), a meeting that takes place every four years. The name of the award honours the Canadian mathematician John Charles Fields....

karst topography Field (mathematics), type of algebraic structure Number field, specific type of the above algebraic structure Scalar field, assignment of...

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,...

In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers. Some examples are the field of...

An electromagnetic field (also EM field) is a physical field, mathematical functions of position and time, representing the influences on and due to electric...

Mathematics is a field of study that investigates topics such as number, space, structure, and change. Definitions of mathematics – Mathematics has no...

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest positive number of copies of the ring's multiplicative...

In mathematics, the field trace is a particular function defined with respect to a finite field extension L/K, which is a K-linear map from L onto K. Let...

Look up near-field in Wiktionary, the free dictionary. Near field may refer to: Near-field (mathematics), an algebraic structure Near-field region, part...

limited to work in a particular field, such as topology or analysis, while others are given for any type of mathematical contribution. "CRM-SSC Prize in...

Cambridge Studies in Advanced Mathematics, vol. 8 (2nd ed.) Serre, Jean-Pierre (1979), Local fields, Graduate Texts in Mathematics, vol. 67 (2 ed.), Springer-Verlag...

Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for...

coordinate vector space. Many vector spaces are considered in mathematics, such as extension fields, polynomial rings, algebras and function spaces. The term...

In mathematics, an algebraic function field (often abbreviated as function field) of n variables over a field k is a finitely generated field extension...

Mathematical Physics defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such...

In mathematics, a field K is called a (non-Archimedean) local field if it is complete with respect to a topology induced by a discrete valuation v and...

described mathematically by a function assigning a vector to each point of space, called a vector field (more precisely, a pseudovector field). In electromagnetics...

In contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and...

In field theory, a branch of mathematics, the minimal polynomial of an element α of an extension field of a field is, roughly speaking, the polynomial...

In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element α, over a field extension L/K, are...

In mathematics, a global field is one of two types of fields (the other one is local fields) that are characterized using valuations. There are two kinds...

In mathematics, an algebraic number field (or simply number field) is an extension field K {\displaystyle K} of the field of rational numbers Q {\displaystyle...