Fundamental Methods of Mathematical Economics

Main description

It has been 20 years since the last edition of this classic text. Kevin Wainwright, a long time user of the text (British Columbia University and Simon Fraser University), has executed the perfect revision—-he has updated examples, applications and theory without changing the elegant, precise presentation style of Alpha Chiang. Readers will find the wait was worthwhile.

Table of contents

PART 1 IntroductionChapter 1: The Nature of Mathematical EconomicsChapter 2: Economic ModelsPART 2 Static (or Equilibrium) AnalysisChapter 3: Equilibrium Analysis in EconomicsChapter 4: Linear Models and Matrix AlgebraChapter 5: Linear Models and Matrix Algebra (continued)PART 3 Comparative-Static AnalysisChapter 6: Comparative Statics and the Concept of the DerivativeChapter 7: Rules of Differentiation and their use in Comparative StaticsChapter 8: Comparative-Static Analysis of General-Function ModelsPART 4 Optimization ProblemsChapter 9: Optimization: A Special Variety of Equilibrium AnalysisChapter 10: Exponential and Logarithmic FunctionsChapter 11: The Case of More Than One Choice VariableChapter 12: Optimization with Equality ConstraintsNEW Chapter 13: Further Topics in Optimization (includes Envelope Theorem and DualityPART 5 Dynamic AnalysisChapter 14 Economic Analysis and Integral CalculusChapter 15 Continuous Time: First Order Differential EquationsChapter 16 Higher-Order Differential EquationsChapter 17 DiscreteTime: First Order Difference EquationsChapter 18 Higher Order Difference EquationsChapter 19 Simultaneous Differential Equations and Difference EquationsNEW Chapter 20: Introduction to Optimal Control Theory