Real analysis with economic applications

Ahmet Ok

    Research output: Book/ReportBook

    Abstract

    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 Applicationsaims 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.

    Original languageEnglish (US)
    PublisherPrinceton University Press
    ISBN (Print)0691117683, 9780691117683
    StatePublished - Sep 5 2011

    Fingerprint

    Economics
    Economic theory
    Graduate students
    Mathematics
    Textbooks
    Finance
    General equilibrium
    Resources
    Heuristics
    Dynamic programming
    Fixed point
    Economists
    Functional analysis
    Welfare economics
    Economic information
    Information theory
    Functional equation
    Convex analysis
    Calculus of variations
    Exercise

    ASJC Scopus subject areas

    • Economics, Econometrics and Finance(all)

    Cite this

    Ok, A. (2011). Real analysis with economic applications. Princeton University Press.

    Real analysis with economic applications. / Ok, Ahmet.

    Princeton University Press, 2011.

    Research output: Book/ReportBook

    Ok, A 2011, Real analysis with economic applications. Princeton University Press.
    Ok A. Real analysis with economic applications. Princeton University Press, 2011.
    Ok, Ahmet. / Real analysis with economic applications. Princeton University Press, 2011.
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