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Real Analysis with Economic Applications pdf offers a fresh look at what would have otherwise been a jaded topic the author of Real Analysis with Economic Applications pdf book draws on a vast knowledge bank of insights and experience to execute this work.
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.
Publisher : Princeton University Press (January 22, 2007)
Language : English
Hardcover : 832 pages
ISBN-10 : 0691117683
ISBN-13 : 978-0691117683
Item Weight : 2.69 pounds
Dimensions : 6.36 x 1.64 x 9.32 inches
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