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