Advanced Linear Algebra

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For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arg...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Roman, Steven (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2008.
Edición:3rd ed. 2008.
Colección:Graduate Texts in Mathematics, 135
Temas:
Algebras, Linear.
Linear Algebra.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Basic Linear Algebra
  • Vector Spaces
  • Linear Transformations
  • The Isomorphism Theorems
  • Modules I: Basic Properties
  • Modules II: Free and Noetherian Modules
  • Modules over a Principal Ideal Domain
  • The Structure of a Linear Operator
  • Eigenvalues and Eigenvectors
  • Real and Complex Inner Product Spaces
  • Structure Theory for Normal Operators
  • Topics
  • Metric Vector Spaces: The Theory of Bilinear Forms
  • Metric Spaces
  • Hilbert Spaces
  • Tensor Products
  • Positive Solutions to Linear Systems: Convexity and Separation
  • Affine Geometry
  • Singular Values and the Moore-Penrose Inverse
  • An Introduction to Algebras
  • The Umbral Calculus.

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