Mathematical Methods for Economic Theory 1 / Edition 1

by James C. Moore

Overview

The two-volume work is intended to function as a textbook for graduate students in economics as well as a reference work for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate student in economics, these two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. Volume One covers basic set theory, sequences and series, continuous and semi-continuous functions, an introduction to general linear spaces, basic convexity theory, and applications to economics. Volume Two introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces.

Product Details

ISBN-13:	9783642085505
Publisher:	Springer Berlin Heidelberg
Publication date:	12/09/2010
Series:	Studies in Economic Theory , #9
Edition description:	Softcover reprint of hardcover 1st ed. 1999
Pages:	414
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

Set Theory and Properties of Rn.- Sequences and Infinite Series.- Continuity.- Linear Spaces.- Convex Sets and Functions.- Applications of Convexity.