An Introduction to Mathematical Analysis for Economic Theory and Econometrics

An Introduction to Mathematical Analysis for Economic Theory and Econometrics

Author: Dean Corbae

Publisher: Princeton University Press

Published: 2009-02-17

Total Pages: 696

ISBN-13: 1400833086

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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


Economics

Economics

Author:

Publisher:

Published: 2015

Total Pages: 1603

ISBN-13:

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Russell Cooper and Andrew John have written an economics text aimed directly at students from its very inception. You?re thinking, "Yeah, sure. I?ve heard that before." This textbook, Economics: Theory Through Applications, centers around student needs and expectations through two premises:? Students are motivated to study economics if they see that it relates to their own lives.? Students learn best from an inductive approach, in which they are first confronted with a problem, and then led through the process of solving that problem. Many books claim to present economics in a way that is digestible for students; Russell and Andrew have truly created one from scratch. This textbook will assist you in increasing students? economic literacy both by developing their aptitude for economic thinking and by presenting key insights about economics that every educated individual should know. How? Russell and Andrew have done three things in this text to accomplish that goal: Applications Ahead of Theory: They present all the theory that is standard in Principles books. But by beginning with applications, students get to learn why this theory is needed. Learning through Repetition: Important tools appear over and over again, allowing students to learn from repetition and to see how one framework can be useful in many different contexts. A Student?s Table of Contents vs. An Instructor?s Table of Contents: There is no further proof that Russell and Andrew have created a book aimed specifically at educating students about economics than their two tables of contents.


Economic Theory and Cognitive Science

Economic Theory and Cognitive Science

Author: Don Ross

Publisher: MIT Press

Published: 2007-01-26

Total Pages: 455

ISBN-13: 0262681684

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In this study, Don Ross explores the relationship of economics to other branches of behavioral science, asking, in the course of his analysis, under what interpretation economics is a sound empirical science. The book explores the relationships between economic theory and the theoretical foundations of related disciplines that are relevant to the day-to-day work of economics—the cognitive and behavioral sciences. It asks whether the increasingly sophisticated techniques of microeconomic analysis have revealed any deep empirical regularities—whether technical improvement represents improvement in any other sense. Casting Daniel Dennett and Kenneth Binmore as its intellectual heroes, the book proposes a comprehensive model of economic theory that, Ross argues, does not supplant, but recovers the core neoclassical insights, and counters the caricaturish conception of neoclassicism so derided by advocates of behavioral or evolutionary economics. Because he approaches his topic from the viewpoint of the philosophy of science, Ross devotes one chapter to the philosophical theory and terminology on which his argument depends and another to related philosophical issues. Two chapters provide the theoretical background in economics, one covering developments in neoclassical microeconomics and the other treating behavioral and experimental economics and evolutionary game theory. The three chapters at the heart of the argument then apply theses from the philosophy of cognitive science to foundational problems for economic theory. In these chapters, economists will find a genuinely new way of thinking about the implications of cognitive science for economics, and cognitive scientists will find in economic behavior, a new testing site for the explanations of cognitive science.


Economic Theory

Economic Theory

Author: Gary S Becker

Publisher: Routledge

Published: 2017-09-08

Total Pages: 243

ISBN-13: 1351327666

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Others might have called this book Micro Theory or Price Theory. Becker's choice of Economic Theory as the title for his book reflects his deep belief that there is only one kind of economic theory, not separate theories for micro problems, macro problems, non-market decisions, and so on. Indeed, as he notes, the most promising development in recent years in the literature on large scale economic problems such as unemployment has been the increasing reliance on utility maximization, a concept generally identified with microeconomics. Microeconomics is the subject matter of this volume, but it is emphatically not confined to microeconomics in the literal sense of micro units like firms or households. Becker's main interest is in market behavior of aggregations of firms and households. Although important inferences are drawn about individual firms and households, the author tries to understand aggregate responses to changes in basic economic parameters like tax rates, tariff schedules, technology, or antitrust provisions. His discussion is related to the market sector in industrialized economies, but the principles developed are applied to other sectors and different kinds of choices. Becker argues that economic analysis is essential to understand much of the behavior traditionally studied by sociologists, anthropologists, and other social scientists. The broad definition of economics in terms of scarce means and competing ends is taken seriously and should be a source of pride to economists since it provides insights into a wide variety of problems. Practically all statements proved mathematically are also provided geometrically or verbally in the body of the text.


Introduction to Economic Analysis

Introduction to Economic Analysis

Author: R. Preston McAfee

Publisher: Orange Grove Texts Plus

Published: 2009-09-24

Total Pages: 0

ISBN-13: 9781616100414

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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.


Economic Thought

Economic Thought

Author: Heinz D. Kurz

Publisher: Columbia University Press

Published: 2016-05-03

Total Pages: 221

ISBN-13: 0231540752

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In this concise yet comprehensive history, Heinz D. Kurz traces the long arc of economic thought from its emergence in ancient Greece to its systematic presentation among the classical thinkers of the late eighteenth and early nineteenth centuries to the influential work of scholars such as Paul Samuelson and Kenneth J. Arrow. With a keen eye for how economic insights are acquired, lost, and reborn, Kurz focuses on the dynamic individuals who give old ideas new life and the historical events that provoke different approaches and theories. Over the course of this journey, Kurz explains what Adam Smith meant by the "invisible hand"; how Karl Marx's "law of motion" works in capitalist economies; the roots of the Austrian economists' emphasis on the problems of information, incomplete knowledge, and uncertainty; John Maynard Keynes's principle of effective demand and economic stabilization; and the insights and challenges offered by growth theory, welfare economics, game theory, and more. He concludes with a deft summation of world economists' major concerns today and their critical relation to world events.


New Ideas from Dead Economists

New Ideas from Dead Economists

Author: Todd G. Buchholz

Publisher: Penguin

Published: 2007

Total Pages: 372

ISBN-13: 9780452288447

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A reexamination of the major economic theories of the past two hundred years discusses how long-dead, famous economists such as Adam Smith and others would handle today's economic problems.


Classical Economic Theory and the Modern Economy

Classical Economic Theory and the Modern Economy

Author: Steven Kates

Publisher: Edward Elgar Publishing

Published: 2020-06-26

Total Pages: 264

ISBN-13: 1786433575

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Economic theory reached its zenith of analytical power and depth of understanding in the middle of the nineteenth century among John Stuart Mill and his contemporaries. This book explains what took place in the ensuing Marginal Revolution and Keynesian Revolution that left economists less able to understand how economies operate. It explores the false mythology that has obscured the arguments of classical economists, providing a pathway into the theory they developed.