[下载]Infinite Dimensional Analysis: A Hitchhikers Guide

antoni09

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收藏 2009-04-05

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Infinite Dimensional Analysis: A Hitchhiker's Guide (Paperback)
by Charalambos D. Aliprantis (Author), Kim C. Border (Author)

This monograph presents a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but does not have an extensive background and does not plan to make a career as a functional analyst. It develops the topological structures in connection with measure theory, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature. The choice of material was motivated from problems in control theory and economics, although the material is more applicable than applied.

Charalambos D．Aliprantis国际著名数理经济学家，普度大学数学系和经济学系教授，Economic Theory，Annals of Finance等著名期刊主编。Aliprantis教授在一般均衡理论、不完备市场理论、泛函分析、实分析、测度论等数学和经济学的多个领域著述颇丰，主要著作有Principles of Real Analysis，Existence and Optimality of Competitive Equilibria，Games and Decision Making等。
Charalambos D．Aliprantis教授专门为经济金融类PHD撰写的《实分析原理》和《实分析习题集》都已经在国内出版，《Infinite Dimensional Analysis》侧重于经济金融类需要应用的泛函分析，这三本书基本上就形成一整套经济金融PHD所需要必备的数学知识系统。学习了这三本书，看journal of economic theory 、econometrica等数理程度很高的期刊基本没有任何问题。

[此贴子已经被作者于2009-4-5 10:32:42编辑过]