Further Mathematics for Economic Analysis
Samenvatting
This book finds the right balance between mathematics and economic examples, providing a text that is demanding in level and broad ranging in content, whilst remaining accessible and interesting to its target audience.
- Systematic treatment of the calculus of variations, optimal control theory and dynamic programming.
- Several early chapters review and extend material in the previous book on elementary matrix algebra, multivariable calculus, and static optimization.
- New! Coverage on optimisation transferred from Essentials of Economic analysis
- New! Extended answers to problems are available online in a new Students Manual along with additional practice problems.
Specificaties
Inhoudsopgave
1. Topics in linear algebra
2. Multivariable calculus
3. Static optimization
4. Topics in integration
5. Differential equations i: First order equations
6. Differential equations ii: Second order equations systems in the plane
7. Differential equations iii: Highest-order equations
8. Calculus of variations
9. Control theory i: Basic techniques
10. Control theory ii: Extensions
11. Difference equations
12. Discrete time optimization
13. Topology and separation
14. Correspondences. Fixed points
APPENDIX 1: COMPLETENESS AND CONVERGENCE IN R
APPENDIX 2: TRIGONOMETRIC FUNCTIONS
ANSWERS
REFERENCES
INDEX