ABSTRACT

Originally published in 1984. Since the logic underlying economic theory can only be grasped fully by a thorough understanding of the mathematics, this book will be invaluable to economists wishing to understand vast areas of important research. It provides a basic introduction to the fundamental mathematical ideas of topology and calculus, and uses these to present modern singularity theory and recent results on the generic existence of isolated price equilibria in exchange economies. 

chapter 1|43 pages

Sets, Relations and Preferences

chapter 2|55 pages

Linear Systems

chapter 3|65 pages

Topology and Convex Optimisation

chapter 5|26 pages

Singularity Theory and General Equilibrium