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...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| سلاسل: | Graduate Texts in Mathematics
135 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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, Texte imprimé, 9780387519708 • Advanced Linear Algebra, Texte imprimé, 9781441924988 • Advanced Linear Algebra, Texte imprimé, 9780387728285 |
جدول المحتويات:
- 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.