Real Analysis with Economic Applications

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9780691117683: Real Analysis with Economic Applications

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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"The book is intended as a textbook on real analysis for graduate students in economics. It is largely graduate level mathematics, and the students should have a solid undergraduate real analysis background. . . . The author's writing style is . . . in general quite attractive. The book should be quite successful for its intended purpose." --Gerald A. Heuer, Zentralblatt MATH


"Important and commendable, this indispensable resource should be highly prized by all concerned with courses on mathematics for economists and by graduate students working on economic theory. Rarely do books meet such high aspirations and carry out their aims, yet this one certainly does. Well written in an engaging style and impressively researched in the requirements of graduate students of economics and finance, Real Analysis with Economic Applications is sure to become the definitive work for its intended audience. Real Analysis with Economic Applications with its large number of economics applications and variety of exercises represents the single most important mathematical source for students of economics applications and it will be the book, for a long time to come, to which they will turn with confidence, as well as pleasure, in all questions of economic applications." --Current Engineering Practice

Reseña del editor:


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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Ok, Efe A.
Editorial: Ewing, New Jersey, U.S.A.: Princeton Univ Pr (2007)
ISBN 10: 0691117683 ISBN 13: 9780691117683
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Descripción Princeton University Press, 2007. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería WP-9780691117683

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Descripción Princeton University Press, United States, 2007. Hardback. Estado de conservación: New. 236 x 157 mm. Language: English . Brand New 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. Nº de ref. de la librería AAH9780691117683

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Efe A. Ok
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ISBN 10: 0691117683 ISBN 13: 9780691117683
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Descripción Princeton University Press, United States, 2007. Hardback. Estado de conservación: New. 236 x 157 mm. Language: English . Brand New 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. Nº de ref. de la librería AAH9780691117683

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Descripción 2007. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780691117683

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Descripción Princeton University Press, 2007. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110691117683

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Descripción Princeton University Press, 2007. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0691117683

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Descripción Princeton University Press. Hardcover. Estado de conservación: New. 0691117683 New US Edition Textbook, Ships with Emailed Tracking from USA. Nº de ref. de la librería Z0691117683ZN

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Descripción Princeton Univ Pr, 2007. Hardcover. Estado de conservación: Brand New. illustrated edition. 664 pages. 9.25x6.25x1.50 inches. In Stock. Nº de ref. de la librería __0691117683

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