Further Mathematics for Economic Analysis

Description
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.

Contents

PREFACE
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

Features

• 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.

Author

Peter Hammond is currently the Marie Curie Professor of Economics at the University of Warwick and Emeritus Professor at Stanford University. His many publications extend over several different fields of economics.

Knut Sydsaeter, Atle Seistan and Arne Strom all have extensive experience in teaching mathematics for economics in the Department of Economics at the University of Oslo.