The Linear Algebra a Beginning Graduate Student Ought to Know

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Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Golan, Jonathan S. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2012.
Edición:3rd ed. 2012.
Temas:
Algebras, Linear.
Associative rings.
Associative algebras.
Nonassociative rings.
Numerical analysis.
Algorithms.
Linear Algebra.
Associative Rings and Algebras.
Non-associative Rings and Algebras.
Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Notation and terminology
  • Fields
  • Vector spaces over a field
  • Algebras over a field
  • Linear independence and dimension
  • Linear transformations
  • The endomorphism algebra of a vector space
  • Representation of linear transformations by matrices
  • The algebra of square matrices
  • Systems of linear equations
  • Determinants
  • Eigenvalues and eigenvectors
  • Krylov subspaces
  • The dual space
  • Inner product spaces
  • Orthogonality
  • Selfadjoint Endomorphisms
  • Unitary and Normal endomorphisms
  • Moore-Penrose pseudoinverses
  • Bilinear transformations and forms
  • Summary of Notation.-Index to thumbnail photos.

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