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  2. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    With respect to general linear maps, linear endomorphisms and square matrices have some specific properties that make their study an important part of linear algebra, which is used in many parts of mathematics, including geometric transformations, coordinate changes, quadratic forms, and many other part of mathematics.

  3. Category of modules - Wikipedia

    en.wikipedia.org/wiki/Category_of_modules

    The category K-Vect (some authors use Vect K) has all vector spaces over a field K as objects, and K-linear maps as morphisms. Since vector spaces over K (as a field) are the same thing as modules over the ring K, K-Vect is a special case of R-Mod (some authors use Mod R), the category of left R-modules. Much of linear algebra concerns the ...

  4. Outline of linear algebra - Wikipedia

    en.wikipedia.org/wiki/Outline_of_linear_algebra

    This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector spaces and through matrices. Linear equations

  5. Category:Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Category:Linear_algebra

    Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis.

  6. Graded structure - Wikipedia

    en.wikipedia.org/wiki/Graded_structure

    In mathematics, the term "graded" has a number of meanings, mostly related: . In abstract algebra, it refers to a family of concepts: . An algebraic structure is said to be -graded for an index set if it has a gradation or grading, i.e. a decomposition into a direct sum = of structures; the elements of are said to be "homogeneous of degree i ".

  7. Charles Royal Johnson - Wikipedia

    en.wikipedia.org/wiki/Charles_Royal_Johnson

    Charles Royal Johnson (born January 28, 1948) is an American mathematician specializing in linear algebra. He was a Class of 1961 professor of mathematics at College of William and Mary. [1] The books Matrix Analysis and Topics in Matrix Analysis, co-written by him with Roger Horn, are standard texts in advanced linear algebra. [2] [3] [4]

  8. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    The template to the right includes links to alphabetical lists of all mathematical articles. This article brings together the same content organized in a manner better suited for browsing. Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference ...

  9. Linear function - Wikipedia

    en.wikipedia.org/wiki/Linear_function

    In mathematics, the term linear function refers to two distinct but related notions: [1] In calculus and related areas, a linear function is a function whose graph is a straight line , that is, a polynomial function of degree zero or one. [ 2 ]

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