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本附件包括：

• 1.Optimization with equality constraints.pdf
• 10. Basic Topology of Rl.pdf
• 11. Continuous Functions and the Weierstrass Theorem.pdf
• 12. Comparative Statics of Optimal Solutions.pdf
• 13.Basic Dynamic Programming.pdf
• 14. Fixed Point Theorem.pdf
• 15.The Existence of Nash Equilibrium.pdf
• 16. Competitiveequilibrium of a pure exchange economy.pdf
• 2. Optimization with inequality constraints.pdf
• 3. Convexity and Separation Theorem.pdf
• 4. The Farkas Lemma.pdf
• 5. The Proof of the Kuhn_Tucker Theorem.pdf
• 6.Convex Optimization Problems.pdf
• 7.More General Convex Optimization Problems.pdf
• 8. Infinite Horizon Convex Optimization Problem and the Transversality Condition.pdf
• 9. Basic Topology of R - the real line.pdf