Vectors, pure and applied : a general introduction to linear algebra [E-Book] / T.W. Körner, Trinity Hall, Cambridge.
Körner, T. W., (author)
Cambridge : Cambridge University Press, 2013
1 online resource (xii, 444 pages)
Full Text
Table of Contents:
  • Machine generated contents note: 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.