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

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...

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....

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...

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);...

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

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...

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...

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

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...

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

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

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

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...

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...

as a researcher at the Institute of Mathematics of the Romanian Academy in Bucharest starting in 1974. Her field of specialization was functional analysis...

In mathematics, a Hardy field is a field consisting of germs of real-valued functions at infinity that are closed under differentiation. They are named...

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 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, a CM-field is a particular type of number field, so named for a close connection to the theory of complex multiplication. Another name...

Washington, Lawrence C. (1997). Introduction to Cyclotomic Fields. Graduate Texts in Mathematics. Vol. 83 (2nd ed.). Springer-Verlag. Theorem 11.1. ISBN 0-387-94762-0...

role in modern mathematics such as David Hilbert's axioms for geometry, and the theories of ordered groups, ordered fields, and local fields. An algebraic...

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

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

The Fields Institute for Research in Mathematical Sciences, commonly known simply as the Fields Institute, is an international centre for scientific research...

mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields whose...