Analytical methods in economics

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Bibliographic Information

Analytical methods in economics

Akira Takayama

Harvester Weatsheaf, 1994

  • : hard
  • : pbk

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Includes bibliograhical references and indexes

Description and Table of Contents

Description

This textbook presents the key analytical tools (non-linear programming, uncertainty, differential equations and optimal control theory) used in economic theory and illustrates their applications, drawn from both micro- and macroeconomics, to selected economic problems. Takayama argues that the typical mathematics used in economics is not really difficult to learn and understand when the basic tools are systematically presented and clearly illustrated in representative economic models. "Analytical Methods in Economics" is suitable as a textbook for advanced undergraduate and graduate students who require an introduction to some of the analytical foundations of economics with non-trivial economics applications. The book focuses on explanation, considerations of motivation, and economic illustrations: it emphasizes "why" rather than "how to" questions.

Table of Contents

  • Part 1 Preliminaries: some basic mathematics. Part 2 Non-linear programming and miroeconomics: non-linear programming
  • sensitivity analysis and elements of microeconomics
  • topics in microeconomic theory. Part 3 Economics of uncertainty. Part 4 Differential equations and economic applications: elements of differential equations and economic applications
  • linear differential equations on the plane and elements of non-linear systems
  • the stability of macroequilibrium and neoclassical growth models. Part 5 Optimal control theory and applications: elements of optimal control theory and applications
  • infinite horizon optimization problems and applications
  • extensions of optimal control themes.

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