Preface 1. Systems of Linear Algebraic Equations 2. Algebraic Eigenvalue Problems 3. Multivariable Calculus 4. Ordinary Differential Equations: Linear Initial Value Problems 5. Nonlinear Ordinary Differential Equations 6. Linear Boundary Value Problems 7. Fourier Series and Eigenfunction expansions 8. Integral Transforms 9. Linear Problems in Partial Differential Equations 10. Linear and Nonlinear Partial Differential Equations 11. Functional Optimizationand Variational Methods 12. Finite Difference Methods for Differential Equations 13. Introduction to the Finite Element Method Index
A Professor of Mathematics at Colorado State University for 30 years, Paul C. DuChateau is the author of two other books on advanced calculus and applied complex variables.