Multilinear forms, tensors and linear transformation are also treated.
Final chapter deals with eigenvectors and eigenvalues, matrix polynomials, more.
Each of the 25 sections contains a problem set. Hints and answers to most problems. Thorough treatment of introductory theories provides basics for discussion of fundamental quadratic form and absolute differential calculus. Final section deals with physical applications. Covers tensor analysis in its function-theoretical and algebraic aspects, vector analysis on manifolds and integration theory and more.