Mathematics in Economics

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.

"I wish Adam Ostaszewski good luck with this book. May it enjoy the success it deserves." Ken Binmore, University of Michigan "I believe Mathematics in Economics to be an excellent book, which is much needed in first year UK degree programmes. Its coverage of syllabus is better than its rivals and its treatment of the economics and the mathematics indicates that considerable rigour is needed to do things properly." Martin Cripps, University of Warwick"In this book the build-up in confidence is done gradually by means of carefully chosen examples.""Throughout the book the approach to mathematics is rigorous, and excellent use is made of graphs and other figures.""A valuable guide to the ways in which mathematics provides a basis for modern economics." Tony Whitford

• Part I:. 1. Sets and Numbers.2. Matrices and Vectors.3. Modelling Consumer Choice.4. Discrete Variables.5. Functions.6. Equilibrium.7. Eigenvalues and Eigenvectors.Part II:.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.