Real Analysis with Economic Applications
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A01=Efe A. Ok
Addition
Author_Efe A. Ok
Axiom
Axiom of choice
Banach fixed-point theorem
Bijection
Bolzano-Weierstrass theorem
Brouwer fixed-point theorem
Category=PBK
Cauchy sequence
Characterization (mathematics)
Codomain
Compact space
Complete metric space
Concave function
Continuous function
Convex analysis
Convex set
Corollary
Countable set
Differentiable function
Dimension (vector space)
Division by zero
Dynamic programming
Empty set
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Euclidean space
Existence theorem
Existential quantification
Expected utility hypothesis
Finite set
Functional analysis
Functional equation
Hyperplane
Intermediate value theorem
Interval (mathematics)
Limit superior and limit inferior
Linear map
Linear space (geometry)
Linear subspace
Linearity
Lipschitz continuity
Mathematical optimization
Mathematics
Mean value theorem
Metric space
Monotonic function
Natural number
Open set
Optimization problem
Partially ordered set
Polynomial
Preference (economics)
Preference relation
Preorder
Real analysis
Real number
Requirement
Scientific notation
Semi-continuity
Set (mathematics)
Special case
Subsequence
Subset
Summation
Surjective function
Theorem
Theory
Uniform continuity
Utility
Weierstrass theorem
Zorn's lemma
Product details
- ISBN 9780691117683
- Weight: 1219g
- Dimensions: 156 x 235mm
- Publication Date: 22 Jan 2007
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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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.
Efe A. Ok is Associate Professor of Economics at New York University.
