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.
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深水。摸著石頭過河。psu Econ phd 500用書。書中重復最多的是: (why?)
评分'I've never seen a book that fails so dramatically in references, references to itself.' Also it does not qualify as a good/near-to-complete reference as the proofs of many important results are left as exercises.
评分不好看。。。
评分書很全，而且所有的經濟學對應的數學內涵都寫瞭。問題也有很多。1、排版不好看，排版太隨意瞭2、太簡略瞭，很多東西一帶而過；3、太多notation4、很多經典定理居然隻說propositionxx而不說名字5、實分析居然隻講黎曼積分不講勒貝格積分…
评分寫的淩亂，但覆蓋基本的知識瞭。
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