Introduction Part I. Familiar Vector Spaces: 1. Gaussian elimination 2. A little geometry 3. The algebra of square matrices 4. The secret life of determinants 5. Abstract vector spaces 6. Linear maps from Fn to itself 7. Distance preserving linear maps 8. Diagonalisation for orthonormal bases 9. Cartesian tensors 10. More on tensors Part II. General Vector Spaces: 11. Spaces of linear maps 12. Polynomials in L(U,U) 13. Vector spaces without distances 14. Vector spaces with distances 15. More distances 16. Quadratic forms and their relatives Bibliography Index.
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