Linear Analysis. Linear Spaces. Linear Transformations and Matrices. Determinants. Eigenvalues and Eigenvectors. Eigenvalues of Operators Acting on Euclidean Spaces. Linear Differential Equations. Systems of Differential Equations. Nonlinear Analysis. Differential Calculus of Scalar and Vector Fields. Applications of the Differential Calculus. Line Integrals. Special Topics. Set Functions and Elementary Probability. Calculus of Probabilities. Introduction to Numerical Analysis.
TOM M. APOSTOL, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.