Linear Algebra
Kaye, Wilson / Kaye, Richard / Wilson, Rob Linear Algebra provides a valuable introduction to the basic theory of matrices and vector spaces. The book covers: matrices, vector spaces, bases, and dimension, inner products, bilinear and sesquilinear forms over vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, and Jordan normal form, and fields and polynomials over fields. Abstract methods are illustrated with concrete examples, and more detailed exampl...