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二樓書籍分類
 
Real Analysis with Economic Applications


沒有庫存
訂購需時10-14天
9780691117683
Ok
指南書局
2007年1月01日
467.00  元
HK$ 420.3  






* 叢書系列:經濟類
* 規格:精裝 / 普級 / 單色印刷 / 初版
* 出版地:美國


經濟類


[ 尚未分類 ]








@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.


t I: SET THEORY
Chapter A: Preliminaries of Real Analysis
Chapter B: Countability

Part II: ANALYSIS ON METRIC SPACES
Chapter C: Metric Spaces
Chapter D: Continuity I
Chapter E: Continuity II

Part III: ANALYSIS ON LINEAR SPACES
Chapter F: Linear Spaces
Chapter G: Convexity
Chapter H: Economic Applications

Part IV: ANALYSIS ON METRIC/NORMED LINEAR SPACES
Chapter I: Metric Linear Spaces
Chapter J: Normed Linear Spaces
Chapter K: Differential Calculus

References
Glossary of Selected Symbols
Index




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