TY - BOOK AU - Sundaram,Rangarajan K. TI - A first course in optimization theory SN - 0521497191 (hc) U1 - 519.3 PY - 1996/// CY - Cambridge, New York PB - Cambridge University Press KW - Mathematical optimization KW - Programming (Mathematics) N1 - 1. Mathematical preliminaries; 2. Optimization in Rn; 3. Existence of solutions: the Weierstrass theorem; 4. Unconstrained optima; 5. Equality constraints and the theorem of Lagrange; 6. Inequality constraints and the theorem of Kuhn and Tucker; 7. Convex structures in optimization theory; 8. Quasi-convexity and optimization; 9. Parametric continuity: the maximum theorem; 10. Supermodularity and parametric monotonicity; 11. Finite-horizon dynamic programming; 12. Stationary discounted dynamic programming; Appendix A. Set theory and logic: an introduction; Appendix B. The real line; Appendix C. Structures on vector spaces ER -