Linear algebra
Peter D. Lax.
New York : Wiley, ©1997.
xiv, 250 págs. : ilustraciones ; 24 cm.
Serie: Pure and applied mathematics
ISBN: 0471111112
"A Wiley-Interscience publication."
Incluye referencias bibliográficas (p. 245) e índices.
Reseña: MathSciNet, 99c:15001
Contenido
- 1. Fundamentals
- 2. Duality
- 3. Linear mappings
- 4. Matrices
- 5. Determinant and trace
- 6. Spectral theory
- 7. Euclidean structure
- 8. Spectral theory of selfadjoint mappings
- 9. Calculus of vector and matrix valued functions
- 10. Matrix inequalities
- 11. Kinematics and dynamics
- 12. Convexity
- 13. The duality theorem
- 14. Normed linear spaces
- 15. Linear mappings between normed spaces
- 16. Positive matrices
- 17. How to solve systems of linear equations; Appendix 1. Special determinants
- Appendix 2. Pfaff's theorem
- Appendix 3. Symplectic matrices
- Appendix 4. Tensor product
- Appendix 5. Lattices
- Appendix 6. Fast matrix multiplication
- Appendix 7. Gershgorin's theorem
- Appendix 8. The multiplicity of eigenvalues.