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Preface to Third Edition. Preface to the First Edition. 1. Introduction. 2. Vectors and matrices. 3. Operations on vectors. 4. Operations on matrices. 5. Properties of sets of vectors. 6. Determinants. 7. The matrix inverse. 8. Solving systems of equations. 9. Eigenvalues and difference equations. 10. Quadratic forms. 11. Elementary analysis: sets. 12. Functions. 13. Differentiation and derivatives. 14. Taylor's theorem. 15. Theory of maximization and minimization. 16. Functions of several variables. 17. Constrained optimization. 18. Comparative statistics. 19. Integration and differential equations. Bibliography. Answers to odd-numbered problems. Review problems. Index.