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  2. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    Concerning 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 parts of mathematics.

  3. Steven Roman - Wikipedia

    en.wikipedia.org/wiki/Steven_Roman

    Advanced Linear Algebra, Springer-Verlag, Graduate Texts in Mathematics Vol. 135, 1992. Field Theory, Springer-Verlag, Graduate Texts in Mathematics Vol. 158, 1995. Introduction to Coding and Information Theory , Springer-Verlag, Undergraduate Texts in Mathematics , Springer-Verlag, 1996.

  4. Gilbert Strang - Wikipedia

    en.wikipedia.org/wiki/Gilbert_Strang

    Differential Equations and Linear Algebra (2014) Differential Equations and Linear Algebra - New Book Website; Essays in Linear Algebra (2012) Algorithms for Global Positioning, with Kai Borre (2012) An Analysis of the Finite Element Method, with George Fix (2008) Computational Science and Engineering (2007) Linear Algebra and Its Applications ...

  5. Linear span - Wikipedia

    en.wikipedia.org/wiki/Linear_span

    In mathematics, the linear span (also called the linear hull [1] or just span) of a set of elements of a vector space is the smallest linear subspace of that contains . It is the set of all finite linear combinations of the elements of S , [ 2 ] and the intersection of all linear subspaces that contain S . {\displaystyle S.}

  6. 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

  7. Multilinear algebra - Wikipedia

    en.wikipedia.org/wiki/Multilinear_algebra

    Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument. It involves concepts such as matrices , tensors , multivectors , systems of linear equations , higher-dimensional spaces , determinants , inner and outer products, and dual spaces .

  8. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Algebra includes the study of algebraic structures, which are sets and operations defined on these sets satisfying certain axioms. The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called group. Outline of algebra; Glossary of field theory; Glossary of ...

  9. Closed range theorem - Wikipedia

    en.wikipedia.org/wiki/Closed_range_theorem

    Archived from the original (PDF) on 2014-01-11 Retrieved 2020-07-11 . Yosida, K. (1980), Functional Analysis , Grundlehren der Mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences), vol. 123 (6th ed.), Berlin, New York: Springer-Verlag .

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