An Introduction To Mathematical Analysis For Economic Theory And Econometrics
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Author | : Dean Corbae |
Publisher | : Princeton University Press |
Total Pages | : 696 |
Release | : 2009-02-17 |
Genre | : Business & Economics |
ISBN | : 1400833086 |
Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory
Author | : Dean Corbae |
Publisher | : Princeton University Press |
Total Pages | : 695 |
Release | : 2009-03-09 |
Genre | : Business & Economics |
ISBN | : 0691118671 |
Author | : Halbert White |
Publisher | : Academic Press |
Total Pages | : 241 |
Release | : 2014-06-28 |
Genre | : Business & Economics |
ISBN | : 1483294420 |
This book is intended to provide a somewhat more comprehensive and unified treatment of large sample theory than has been available previously and to relate the fundamental tools of asymptotic theory directly to many of the estimators of interest to econometricians. In addition, because economic data are generated in a variety of different contexts (time series, cross sections, time series--cross sections), we pay particular attention to the similarities and differences in the techniques appropriate to each of these contexts.
Author | : Efe A. Ok |
Publisher | : Princeton University Press |
Total Pages | : 833 |
Release | : 2011-09-05 |
Genre | : Business & Economics |
ISBN | : 1400840899 |
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.
Author | : Tatsuro Ichiishi |
Publisher | : Elsevier |
Total Pages | : 177 |
Release | : 2014-06-28 |
Genre | : Mathematics |
ISBN | : 1483295060 |
Game Theory for Economic Analysis
Author | : Angel de la Fuente |
Publisher | : Cambridge University Press |
Total Pages | : 630 |
Release | : 2000-01-28 |
Genre | : Business & Economics |
ISBN | : 9780521585293 |
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Author | : R. Preston McAfee |
Publisher | : Orange Grove Texts Plus |
Total Pages | : 0 |
Release | : 2009-09-24 |
Genre | : Economics |
ISBN | : 9781616100414 |
This book presents introductory economics material using standard mathematical tools, including calculus. It is designed for a relatively sophisticated undergraduate who has not taken a basic university course in economics. The book can easily serve as an intermediate microeconomics text. The focus of this book is on the conceptual tools. Contents: 1) What is Economics? 2) Supply and Demand. 3) The US Economy. 4) Producer Theory. 5) Consumer Theory. 6) Market Imperfections. 7) Strategic Behavior.
Author | : Kelvin Lancaster |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 2012-10-10 |
Genre | : Mathematics |
ISBN | : 0486145042 |
Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.
Author | : Michael Carter |
Publisher | : MIT Press |
Total Pages | : 678 |
Release | : 2001-10-26 |
Genre | : Business & Economics |
ISBN | : 9780262531924 |
This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
Author | : Jacob T. Schwartz |
Publisher | : Courier Dover Publications |
Total Pages | : 305 |
Release | : 2018-11-14 |
Genre | : Mathematics |
ISBN | : 0486828034 |
An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.