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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
App. 1 Special Determinants
App. 2 Pfaff's Theorem
App. 3 Symplectic Matrices
App. 4 Tensor Product
App. 5 Lattices
App. 6 Fast Matrix Multiplication
App. 7 Gershgorin's Theorem
App. 8 The Multiplicity of
Eigenvalues |
