Real Analysis with Economic Applications
eBook - ePub

Real Analysis with Economic Applications

  1. 832 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Real Analysis with Economic Applications

About this book

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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Yes, you can access Real Analysis with Economic Applications by Efe A. Ok in PDF and/or ePUB format, as well as other popular books in Economics & Finance. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Dedication Page
  5. Contents
  6. Preface
  7. Prerequisites
  8. Basic Conventions
  9. Part I - Set Theory
  10. Part II - Analysis on Metric Spaces
  11. Part III - Analysis on Linear Spaces
  12. Part IV - Analysis on Metric/Normed Linear Spaces
  13. Hints for Selected Exercises
  14. References
  15. Glossary of Selected Symbols
  16. Index