Advanced Linear Algebra
This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to module...
Bewaard in:
| Hoofdauteur: | |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Editie: | Second Edition. |
| Reeks: | Graduate Texts in Mathematics
135 |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Advanced linear algebra, Steven Roman, 2e éd., New York, Springer, 2005, 1 volume (xvi, 482 pages), Graduate texts in mathematics, 0-387-24766-1 • Tracking, identification and control, proceedings, of the 1st international conference, 2-3 November 1988, London, UK, Kempston, IFS, Springer, 1988, 1 vol. (VII-206 p.), 1-85423-025-5 • Advanced linear algebra, Steven Roman, 2e éd., New York, Springer, 2005, 1 volume (xvi, 482 pages), Graduate texts in mathematics, 0-387-24766-1 |
Inhoudsopgave:
- Preliminaries Preliminaries 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 Operator Factorizations: QR and Singular Value The Umbral Calculus