This applications-oriented text gives students the mathematical tools they need tocomprehend and work with economic concepts at the intermediate or advanced level. Byemphasizing the use of mathematics in actual economic models, this textbook guides studentsthrough important techniques, without leading them through a maze of formal proofs. Theorganization of the text, with each theory chapter followed by a chapter of applications,balances the mathematical tools that students need to learn with economics applications.
Table of Contents
1. Introduction to Mathematical Economics. Appendix: Calculus Review 2. Introduction to Mathematical Economic Applications. 3. Matrix Theory. 4. Applications of Matrix Theory to Linear Models. 5. Multivariate Calculus: Theory. 6. Multivariate Calculus: Applications. 7. Multivariable Optimization without Constraints: Theory. 8. Multivariable Optimization without Constraints: Applications. 9. Constrained Optimization: Theory. 10. Constrained Optimization: Applications. 11. Optimization with Inequality Constraints: Theory. 12. Optimization with Inequality Constraints. 13. Value Functions and the Envelope Theorem: Theory. 14. Value Functions and the Envelope Theorem: Duality and Other Applications. 15. Introduction to Difference and Differential Equations: Theory. 16. Difference and Differential Equations: Applications. 17. Static Games with Complete Information: Theory. 18. Static Games with Complete Information: Applications. 19. Dynamic Games with Complete Information: Theory. 20. Dynamic Games with Complete Information: Applications.