Vectors in R and C, Spatial Vectors. Algebra of Matrices. Systems of Linear Equations. Vector Spaces. Linear Mappings. Linear Mappings and Matrices. Inner Product Spaces, Orthogonality. Determinants. Diagolnalization: Eigenvalues and Eigenvectors. Canonical Forms. Linear Functionals and the Dual Space. Bilinear, Quadratic, and Hermitian Forms. Linear Operators on Inner Product Spaces. Multilinear Products. List of Symbols.
He is a Ph.D and a Professor of Mathematics in Temple University Marc Lipson, Ph.D. (Philadelphia, PA), is on the mathematical faculty of the University of Georgia. He is co-author of Schaum's Outline of Discrete Mathematics.