Fundamental Methods of Mathematical Economics
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.
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For this fourth edition of a text for students of economics, Chiang (University of Connecticut) and Wainwright (British Columbia Institute of Technology) add new chapters on the envelope theorem, advanced topics in optimization, and optimal control theory, and delete a chapter on mathematical programming. The book can serve as a text for a course on mathematical methods, and as supplementary reading in such courses as micro- or macroeconomic theory, and economic growth and development. This edition is updated with new examples based on current economic conditions. Annotation ©2004 Book News, Inc., Portland, OR
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
