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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
New York, NY :
Springer New York,
2008.
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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.