Mathematical Methods for Economic Theory 2 / Edition 1

by James C. Moore

Overview

This is the second of a two-volume work intended to function as a textbook well as a reference work for economic for graduate students in economics, as scholars who are either working in theory, or who have a strong interest in economic theory. While it is not necessary that a student read the first volume before tackling this one, it may make things easier to have done so. In any case, the student undertaking a serious study of this volume should be familiar with the theories of continuity, convergence and convexity in Euclidean space, and have had a fairly sophisticated semester's work in Linear Algebra. While I have set forth my reasons for writing these volumes in the preface to Volume 1 of this work, it is perhaps in order to repeat that explanation here. I have undertaken this project for three principal reasons. In the first place, I have collected a number of results which are frequently useful in economics, but for which exact statements and proofs are rather difficult to find; for example, a number of results on convex sets and their separation by hyperplanes, some results on correspondences, and some results concerning support functions and their duals. Secondly, while the mathematical top­ ics taken up in these two volumes are generally taught somewhere in the mathematics curriculum, they are never (insofar as I am aware) done in a two-course sequence as they are arranged here.

Product Details

ISBN-13:	9783642085529
Publisher:	Springer Berlin Heidelberg
Publication date:	12/09/2010
Series:	Studies in Economic Theory , #10
Edition description:	Softcover reprint of hardcover 1st ed. 1999
Pages:	339
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

7 An Introduction to Topology.- 8 Additional Topics in Topology.- 9 Correspondences.- 10 Banach Spaces.- 11 Topological Vector Spaces.- 12 Selection and Fixed Point Theorems.