Mathematical Methods in Theoretical Economics: Topological and Vector Space Foundations of Equilibrium Analysis

Topological and vector space methods have achieved a very distinguished position among the tools of theoretical economics, especially in the area of equilibrium analysis. This book aims at giving a systematic presentation of the basic principles of these two areas of mathematics. With'this aim in mind, we hope the book may prove to be a useful introduction to the field for students of theoretical economics as well as a reference work for economists interested in these problems.
A year of calculus and a semester of elementary linear algebra should provide the reader with the mathematical background needed to understand this book. Some familiarity with modern algebra and differential equations is desirable though not necessary. Finally, it is assumed that the reader has already had some serious exposure to modern mathematical economics at the graduate level.
The book consists of two parts, each of which is essentially self-contained.