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Linear Algebra Classes

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  • List of linear algebra references — This is a list of selected references for linear algebra, an important branch of mathematics.Introductory linear algebraIntroductory linear algebra refers to the material typically covered in a first or second year course for scientists and… …   Wikipedia

  • Quotient space (linear algebra) — In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by collapsing N to zero. The space obtained is called a quotient space and is denoted V / N (read V mod N ). Definition Formally, the construction is… …   Wikipedia

  • algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… …   Universalium

  • Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… …   Wikipedia

  • Linear algebraic group — In mathematics, a linear algebraic group is a subgroup of the group of invertible n times; n matrices (under matrix multiplication) that is defined by polynomial equations. An example is the orthogonal group, defined by the relation MTM = I where …   Wikipedia

  • Abstract algebra — This article is about the branch of mathematics. For the Swedish band, see Abstrakt Algebra. The permutations of Rubik s Cube have a group structure; the group is a fundamental concept within abstract algebra. Abstract algebra is the subject area …   Wikipedia

  • Von Neumann algebra — In mathematics, a von Neumann algebra or W* algebra is a * algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. They were originally introduced by John von Neumann,… …   Wikipedia

  • History of algebra — Elementary algebra is the branch of mathematics that deals with solving for the operands of arithmetic equations. Modern or abstract algebra has its origins as an abstraction of elementary algebra. Historians know that the earliest mathematical… …   Wikipedia

  • Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… …   Wikipedia

  • Steenrod algebra — In algebraic topology, a branch of mathematics, the Steenrod algebra is a structure occurring in the theory of cohomology operations. It is an object of great importance, most especially to homotopy theorists. More precisely, for a given prime… …   Wikipedia

  • Approximately finite dimensional C*-algebra — In C* algebras, an approximately finite dimensional, or AF, C* algebra is one that is the inductive limit of a sequence of finite dimensional C* algebras. Approximate finite dimensionality was first defined and described combinatorially by… …   Wikipedia

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