Advertisement

Infinite Dimensional Analysis

A Hitchhiker’s Guide

  • Charalambos D. Aliprantis
  • Kim C. Border

Part of the Studies in Economic Theory book series (ECON.THEORY, volume 4)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Charalambos D. Aliprantis, Kim C. Border
    Pages 1-19
  3. Charalambos D. Aliprantis, Kim C. Border
    Pages 20-69
  4. Charalambos D. Aliprantis, Kim C. Border
    Pages 70-115
  5. Charalambos D. Aliprantis, Kim C. Border
    Pages 116-180
  6. Charalambos D. Aliprantis, Kim C. Border
    Pages 181-205
  7. Charalambos D. Aliprantis, Kim C. Border
    Pages 206-243
  8. Charalambos D. Aliprantis, Kim C. Border
    Pages 244-268
  9. Charalambos D. Aliprantis, Kim C. Border
    Pages 269-310
  10. Charalambos D. Aliprantis, Kim C. Border
    Pages 311-340
  11. Charalambos D. Aliprantis, Kim C. Border
    Pages 341-367
  12. Charalambos D. Aliprantis, Kim C. Border
    Pages 368-410
  13. Charalambos D. Aliprantis, Kim C. Border
    Pages 411-427
  14. Charalambos D. Aliprantis, Kim C. Border
    Pages 428-457
  15. Charalambos D. Aliprantis, Kim C. Border
    Pages 458-520
  16. Charalambos D. Aliprantis, Kim C. Border
    Pages 521-553
  17. Charalambos D. Aliprantis, Kim C. Border
    Pages 554-566
  18. Back Matter
    Pages 567-605

About this book

Introduction

This text was born out of an advanced mathematical economics seminar at Caltech in 1989-90. We realized that the typical graduate student in mathematical economics has to be familiar with a vast amount of material that spans several traditional fields in mathematics. Much of the mate­ rial appears only in esoteric research monographs that are designed for specialists, not for the sort of generalist that our students need be. We hope that in a small way this text will make the material here accessible to a much broader audience. While our motivation is to present and orga­ nize the analytical foundations underlying modern economics and finance, this is a book of mathematics, not of economics. We mention applications to economics but present very few of them. They are there to convince economists that the material has so me relevance and to let mathematicians know that there are areas of application for these results. We feel that this text could be used for a course in analysis that would benefit math­ ematicians, engineers, and scientists. Most of the material we present is available elsewhere, but is scattered throughout a variety of sources and occasionally buried in obscurity. Some of our results are original (or more likely, independent rediscoveries). We have included some material that we cannot honestly say is neces­ sary to understand modern economic theory, but may yet prove useful in future research.

Keywords

Convexity Economic Theory Fionazierungstheorie Markov Mathematische Analyse Theory of Finance Volkswirtschaftliche Theorie calculus control theory economics integration linear optimization mathematical analysis

Authors and affiliations

  • Charalambos D. Aliprantis
    • 1
  • Kim C. Border
    • 2
  1. 1.Department of MathematicsIndiana University-Purdue University Indianapolis (IUPUI)IndianapolisUSA
  2. 2.Division of the Humanities and Social SciencesCALTECHPasadenaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03004-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-03006-6
  • Online ISBN 978-3-662-03004-2
  • Series Print ISSN 1431-8849
  • Series Online ISSN 2196-9930
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking