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Starting with Chapter 1, each chapter ends with Problems and Notes | |
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Mathematical Notation | |
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Mathematical Symbols | |
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The Greek Alphabet | |
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Review of Mathematics | |
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Some Basic Mathematical Concepts | |
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Calculus | |
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Matrices and Related Topics | |
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Economic Applications of One-Variable Calculus | |
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Applications of One-Variable Calculus from Introductory Economics | |
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Optimization Examples from Introductory Economics | |
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An Introduction to Concavity and Convexity | |
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Economic Applications of Multivariate Calculus | |
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Partial Derivatives and the Total Difference in Economics | |
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Homogeneous Functions | |
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Homothetic Functions | |
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Concave Functions in n Variables | |
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Comparative Statics I: One and Two Variables with and without Optimization | |
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Equilibrium Comparative Statics in One and Two Dimensions | |
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Comparative Statics with Optimization in One and Two Dimensions | |
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Comparative Statics with Both Equilibrium and Optimization | |
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Integration, Time, and Uncertainty in Economics | |
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Integration | |
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Time | |
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Uncertainty | |
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Introduction to Continuous Time Dynamics in One and Two Dimensions | |
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Single-Market Competitive Equilibrium | |
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Examples of One-Variable Dynamic Economic Models | |
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Multiple-Market Competitive Equilibrium | |
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A Macroeconomic Example | |
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An Alternative Notion of Stability | |
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Matrices and Economic Theory | |
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Submatrices and Minors | |
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Cramer's Rule in Economics | |
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Inverse- and Implicit-Function Theorems | |
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A Special Class of Matrices: M Matrices | |
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The Leontief Input-Output System | |
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Quadratic Forms and Definiteness | |
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Comparative Statics II: n Variables with and without Optimization | |
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Equilibrium Comparative Statics in n Dimensions | |
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Comparative Statics with Optimization in n Dimensions | |
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Comparative Statics III: Optimization under Constraint | |
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The Lagrange Technique: First- and Second-Order Conditions | |
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A Specific Utility Function | |
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Choice between Labor and Leisure | |
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Comparative Statics from Constrained Optimization: Two Approaches | |
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Consumer Choice: The n -Good Case | |
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Additively Separable Utility Functions | |
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Inequality Constraints in Optimization Theory | |
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A Simple Inequality Constraint | |
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The General Kuhn-Tucker Theorem | |
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Economic Examples of Kuhn-Tucker Theory | |
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Linear Programming | |
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References | |
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Appendix: Answers to Selected Problems | |
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Index | |