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Author's Preface to the Dover Edition 1. Introduction II. Analysis 2. Classical Optimization--Unconstrained and Equality Constrained Problems 3. Optimality Conditions for Constrained Extrema 4. Convex Sets and Functions 5. Duality in Nonlinear Convex Programming 6. Generalized Convexity 7. Analysis of Selected Nonlinear Programming Problems II. Methods 8. One-Dimensional Optimization 9. Multidimensional Unconstrained Optimization Without Derivatives: Empirical and Conjugate Direction Methods 10. Second Derivative, Steepest Descent and Conjugate Gradient Methods 11. Variable Metric Algorithms 12. Penalty Function Methods 13. Solution of Constrained Problems by Extensions of Unconstrained Optimization Techniques 14. Approximation-Type Algorithms Author Index. Subject Index.