Advanced Linear Algebra

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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Κύριος συγγραφέας: Roman, Steven (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 2008.
Έκδοση:Third Edition.
Σειρά:Graduate Texts in Mathematics, 135
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.