Fundamental Methods of Mathematical Economics

Alpha C. Chiang is a professor at the University of Connecticut Kevin Wainwright is a professor at the British Columbia Institute of Technology (Burnaby, BC,Canada).

• PART 1 Introduction Chapter 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