Mathematics in Economics: Models and Methods / Edition 1 available in Paperback
- Pub. Date:
A valuable guide to the mathematical apparatus that underlies so much of modern economics. The approach to mathematics is rigorous and the mathematical techniques are always presented in the context of the economics problem they are used to solve. Students can gain insight into, and familiarity with, the mathematical models and methods involved in the transition from 'phenomenon' to quantitative statement.
About the Author
Adam Ostaszewski is currently Senior Lecturer in Mathematics at the London School of Economics. He teaches matematical methods appropriate to economic theory (including game thoery and control theory) and special topic courses to graduates and undergraduates. His main research interets include set-theoretic topology and theoretical economics, concentrating on mathematical problems ansd spanning a wide field of applications.
Table of Contents
1. Sets and Numbers.
2. Matrices and Vectors.
3. Modelling Consumer Choice.
4. Discrete Variables.
7. Eigenvalues and Eigenvectors.
1. Limits and Their Uses.
2. Continuity and Its Uses.
3. Uses of the Derivative.
4. Continuous Compounding and Exponential Growth.
5. Partial Differentiation.
6. The Gradient.
7. Taylor's Theorem - An Approximation Tool.
8. Optimisation in Two Variables.
9. Economic Dynamics: Differential Equations.