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Mathematical Methods for Economic Theory 2

  • Textbook
  • © 1999

Overview

Authors:
  1. James C. Moore

    1. Krannert School of Management, Purdue University, West Lafayette, USA

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  • Both a textbook for graduate students and a reference work for scholars
  • The order of topics is adopted to the needs of economists
  • Includes many useful examples

Part of the book series: Studies in Economic Theory (ECON.THEORY, volume 10)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. An Introduction to Topology

    • James C. Moore
    Pages 1-49

  3. Additional Topics in Topology

    • James C. Moore
    Pages 51-110

  4. Correspondences

    • James C. Moore
    Pages 111-182

  5. Banach Spaces

    • James C. Moore
    Pages 183-225

  6. Topological Vector Spaces

    • James C. Moore
    Pages 227-275

  7. Selection and Fixed-Point Theorems

    • James C. Moore
    Pages 277-327

  8. Back Matter

    Pages 329-339
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Keywords

About this book

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.

Authors and Affiliations

  • Krannert School of Management, Purdue University, West Lafayette, USA

    James C. Moore

Bibliographic Information

  • Book Title: Mathematical Methods for Economic Theory 2

  • Authors: James C. Moore

  • Series Title: Studies in Economic Theory

  • DOI: https://doi.org/10.1007/978-3-662-08544-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Hardcover ISBN: 978-3-540-66242-6Published: 19 October 1999

  • Softcover ISBN: 978-3-642-08552-9Published: 15 December 2010

  • eBook ISBN: 978-3-662-08544-8Published: 14 March 2013

  • Series ISSN: 1431-8849

  • Series E-ISSN: 2196-9930

  • Edition Number: 1

  • Number of Pages: X, 339

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods, Applications of Mathematics

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