内容

目次

Preface; Part I. Linear Algebra: 1. Vector spaces (revision); 2.Geometry in R; 3. Matrices; 4. Projections; 5. Spectral theory; 6. The uppertriangular form; 7. The tri-diagonal form; 8. Inverses; 9. Convexity; 10. Theseparating hyperplane theorem; 11. Linear inequalities; 12. Linearprogramming and game theory; 13. The simplex method; 14. Partial derivatives(revision); 15. Convex functions; 16. Non-linear programming; Part II.Advanced Calculus: 1. The integration process; 2. Manipulation of integrals;3. Multiple integrals; 4. Differential and difference equations (revision);5. Laplace transforms; 6. Series solutions of differential equations; 7.Calculus of variations; Part III. Solutions to Selected Exercises; Index.