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Advanced linear algebra /
About this textbook 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 the...
| Clasificación: | QA184 R6.5 |
|---|---|
| Autor principal: | |
| Formato: | Libro |
| Idioma: | Inglés |
| Publicado: |
New York :
Springer-Verlag,
c1992.
|
| Colección: | Graduate texts in mathematics ;
135. |
| Temas: |
Tabla de Contenidos:
- Ch. 0. Preliminaries
- Pt. I. Preliminaries
- Pt. I. Algebraic Structures
- Pt. I. Basic Linear Algebra
- Ch. 1. Vector Spaces
- Ch. 2. Linear Transformations
- Ch. 3. The Isomorphism Theorems
- Ch. 4. Modules I
- Ch. 5. Modules II
- Ch. 6. Modules over Principal Ideal Domains
- Ch. 7. The Structure of a Linear Operator
- Ch. 8. Eigenvalues and Eigenvectors
- Ch. 9. Real and Complex Inner Product Spaces
- Ch. 10. The Spectral Theorem for Normal Operators
- Pt. II. Topics: Ch. 11. Metric Vector Spaces
- Ch. 12. Metric Spaces
- Ch. 13. Hilbert Spaces
- Ch. 14. Tensor Products
- Ch. 15. Affine Geometry
- Ch. 16. The Umbral Calculus
- References
- Index of Notation
- Index.