Mathematics in Economics

This text should be a valuable guide to the mathematical apparatus that underlies so much of modern economics. Mathematical techniques are presented in the context of the economics problem they are used to solve. Students should, therefore, be able to gain insight into, and familiarity with, the mathematical models and methods involved in the transition from "phenomenon" to quantitative statement. Topics covered include: sets and numbers; matrices and vectors; modelling consumer choice; discrete variables; functions; equilibrium; eigenvalues and eigenvectors; limits and their uses; continuity and its uses; partial differentiation; the gradient; Taylor's theorem - an approximation tool; economic dynamics - differential equations. Each chapter ends with exercises designed to help students understand and practice the techniques they have learnt. The author has provided solutions to selected problems so that the book will function as an effective teaching tool on introductory courses in mathematics for economics, quantitative methods and for mathematicians taking a first course in economics.
"Mathematics in Economics" has been developed from a course taught jointly by Ken Binmore and Adam Ostaszewski.