Real Analysis With Economic Applications (Hardcover)

Efe A. Ok

  • 出版商: Princeton University
  • 出版日期: 2007-01-22
  • 售價: $5,370
  • 貴賓價: 9.5$5,102
  • 語言: 英文
  • 頁數: 832
  • 裝訂: Hardcover
  • ISBN: 0691117683
  • ISBN-13: 9780691117683
  • 下單後立即進貨 (約1週~2週)

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商品描述

There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. Real Analysis with Economic Applications aims to fill this gap by providing an ideal textbook and reference on real analysis tailored specifically to the concerns of such students.

The emphasis throughout is on topics directly relevant to economic theory. In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. Efe Ok complements the mathematical development with applications that provide concise introductions to various topics from economic theory, including individual decision theory and games, welfare economics, information theory, general equilibrium and finance, and intertemporal economics. Moreover, apart from direct applications to economic theory, his book includes numerous fixed point theorems and applications to functional equations and optimization theory.

The book is rigorous, but accessible to those who are relatively new to the ways of real analysis. The formal exposition is accompanied by discussions that describe the basic ideas in relatively heuristic terms, and by more than 1,000 exercises of varying difficulty.

This book will be an indispensable resource in courses on mathematics for economists and as a reference for graduate students working on economic theory.

商品描述(中文翻譯)

有許多關於實分析的數學教科書,但它們著重的主題對於研究經濟理論並不直接有用,或者對大多數經濟學研究生來說難以理解。《實分析與經濟應用》旨在填補這一空白,提供一本特別針對這些學生關注的實分析教科書和參考書。

全書的重點始終放在與經濟理論直接相關的主題上。除了涵蓋實分析的常見主題外,本書還討論了順序理論、凸分析、最佳化、對應、線性和非線性泛函分析、不動點理論、動態規劃和變分計算等元素。Efe Ok通過應用來補充數學發展,提供了經濟理論中各個主題的簡明介紹,包括個體決策理論和博弈論、福利經濟學、信息理論、一般均衡和金融學、以及跨期經濟學。此外,除了直接應用於經濟理論,他的書還包括許多不動點定理和應用於泛函方程和最佳化理論的例子。

本書嚴謹而易於理解,適合對實分析相對陌生的讀者。正式的陳述配有描述基本思想的討論,並附有1000多個難度不同的練習題。

這本書將成為經濟學家數學課程中不可或缺的資源,並作為研究經濟理論的研究生的參考書。