Fundamental methods of mathematical economics / Alpha C. Chiang.

Part-1: Introduction;
1. The nature of mathematical economics;
2. Economic models;
Part-2: Static (or equilibrium) analysis;
3. Equilibrium analysis in economics;
4. Linear models and matrix algebra;
5. Linear models and matrix algebra;
Part-3: Comparative static analysis;
6. Comparative statics and the concept of derivative;
7. Rules of differentiation and their use in comparative statics;
8. Comparative-static analysis of general-function models;
Part-4: Optimization Problems;
9. Optimization: a special variety of equilibrium analysis;
10. Exponential and logarithmic functions;
11. The case of more then one choice variable;
12. Optimization with equality constraint;
13. Further topics in optimization;
Part-5: Dynamic analysis;
14. Economic dynamics and integral calculus;
15. Continuous time: first-order differential equations;
16. Higher-order differential equations
17. Discrete time: first-order difference equations;
18. Higher-order difference equations;
19. Simultaneous differential equations and difference equations;
20. Optimal control theory;