The linear algebra a beginning graduate student ought to know
by Jonathan S. Golan.
2nd ed.
Dordrecht : Springer, ©2007.
xi, 435 págs. : ilustraciones ; 24 cm.
ISBN: 9781402054945, 1402054947, 9781402054952 (e-book), 1402054955 (e-book)
Contenido
- 1. Notation and terminology
- 2. Fields
- 3. Vector spaces over a field
- 4. Algebras over a field
- 5. Linear independence and dimension
- 6. Linear transformations
- 7. The endomorphism algebra of a vector space
- 8. Representation of linear transformations by matrices
- 9. The algebra of square matrices
- 10. Systems of linear equations
- 11. Determinants
- 12. Eigenvalues and eigenvectors
- 13. Krylov subspaces
- 14. The dual space
- 15. Inner product spaces
- 16. Orthogonality
- 17. Selfadjoint endomorphisms
- 18. Unitary and normal endomorphisms
- 19. Moore-Penrose pseudoinverses
- 20. Bilinear transformations and forms.
