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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 | |