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

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences...

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

and 93 "Compositum", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Roman, p. 42. Roman, Steven (2006). Field Theory. GTM. Vol. 158. New York: Springer-Verlag...

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...

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...

field, assignment of a tensor to each point in a mathematical space Vector field, assignment of a vector to each point in a mathematical space Field of...

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

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, 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...

In mathematics, a rational number is a number that can be expressed as the quotient or fraction ⁠ p q {\displaystyle {\tfrac {p}{q}}} ⁠ of two integers...

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

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...

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

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...

In mathematics, a ground field is a field K fixed at the beginning of the discussion. It is used in various areas of algebra: In linear algebra, the concept...

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...

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

1980 book on the philosophy of mathematics by Hartry Field. In the book, Field defends nominalism, the view that mathematical objects such as numbers do not...

In mathematics, specifically the area of algebraic number theory, a cubic field is an algebraic number field of degree three. If K is a field extension...

There are various mathematical descriptions of the electromagnetic field that are used in the study of electromagnetism, one of the four fundamental interactions...

In mathematics, a complete field is a field equipped with a metric and complete with respect to that metric. A field supports the elementary operations...

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

In mathematics, in particular in field theory and real algebra, a formally real field is a field that can be equipped with a (not necessarily unique)...

scholars and policymakers have noted that the fields of science, technology, engineering, and mathematics (STEM) have remained predominantly male with...

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, a field F is algebraically closed if every non-constant polynomial with coefficients in F has a root in F. In other words, a field is...

ISBN 0-412-13840-9 Chapter 3.1. Weisstein, Eric W. "Quadratic Field". MathWorld. "Quadratic field", Encyclopedia of Mathematics, EMS Press, 2001 [1994]...

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

algebra, the field of fractions of an integral domain is the smallest field in which it can be embedded. The construction of the field of fractions is...