Overview
- Authors:
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Charalambos D. Aliprantis
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Department of Mathematics, Indiana University-Purdue University Indianapolis (IUPUI), Indianapolis, USA
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Kim C. Border
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Division of the Humanities and Social Sciences, CALTECH, Pasadena, USA
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About this book
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.
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Table of contents (16 chapters)
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Front Matter
Pages i-xviii
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- Charalambos D. Aliprantis, Kim C. Border
Pages 1-19
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- Charalambos D. Aliprantis, Kim C. Border
Pages 20-69
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- Charalambos D. Aliprantis, Kim C. Border
Pages 70-115
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- Charalambos D. Aliprantis, Kim C. Border
Pages 116-180
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- Charalambos D. Aliprantis, Kim C. Border
Pages 181-205
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- Charalambos D. Aliprantis, Kim C. Border
Pages 206-243
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- Charalambos D. Aliprantis, Kim C. Border
Pages 244-268
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- Charalambos D. Aliprantis, Kim C. Border
Pages 269-310
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- Charalambos D. Aliprantis, Kim C. Border
Pages 311-340
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- Charalambos D. Aliprantis, Kim C. Border
Pages 341-367
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- Charalambos D. Aliprantis, Kim C. Border
Pages 368-410
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- Charalambos D. Aliprantis, Kim C. Border
Pages 411-427
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- Charalambos D. Aliprantis, Kim C. Border
Pages 428-457
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- Charalambos D. Aliprantis, Kim C. Border
Pages 458-520
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- Charalambos D. Aliprantis, Kim C. Border
Pages 521-553
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- Charalambos D. Aliprantis, Kim C. Border
Pages 554-566
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Back Matter
Pages 567-605