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Starting with Chapter 1, each chapter ends with Problems and Notes.

Mathematical Notation

Mathematical Symbols

The Greek Alphabet

Chapter 0: Review of Mathematics

0.1. Some Basic Mathematical Concepts

0.2. Calculus

0.3. Matrices and Related Topics

Chapter 1: Economic Applications of One-Variable Calculus

1.1. Applications of One-Variable Calculus from Introductory Economics

1.2. Optimization Examples from Introductory Economics

1.3. An Introduction to Concavity and Convexity

Chapter 2: Economic Applications of Multivariate Calculus

2.1. Partial Derivatives and the Total Difference in Economics

2.2. Homogeneous Functions

2.3. Homothetic Functions

2.4. Concave Functions in n Variables

Chapter 3: Comparative Statics I: One and Two Variables with and without Optimization

3.1. Equilibrium Comparative Statics in One and Two Dimensions

3.2. Comparative Statics with Optimization in One and Two Dimensions

3.3. Comparative Statics with Both Equilibrium and Optimization

Chapter 4: Integration, Time, and Uncertainty in Economics

4.1. Integration

4.2. Time

4.3. Uncertainty

Chapter 5: Introduction to Continuous Time Dynamics in One and Two Dimensions

5.1. Single-Market Competitive Equilibrium

5.2. Examples of One-Variable Dynamic Economic Models

5.3. Multiple-Market Competitive Equilibrium

5.4. A Macroeconomic Example

5.5. An Alternative Notion of Stability

Chapter 6: Matrices and Economic Theory

6.1. Submatrices and Minors

6.2. Cramer's Rule in Economics

6.3. Inverse- and Implicit-Function Theorems

6.4. A Special Class of Matrices: M Matrices

6.5. The Leontief Input-Output System

6.6. Quadratic Forms and Definiteness

Chapter 7: Comparative Statics II: n Variables with and without Optimization

7.1. Equilibrium Comparative Statics in n Dimensions

7.2. Comparative Statics with Optimization in n Dimensions

Chapter 8: Comparative Statics III: Optimization under Constraint

8.1. The Lagrange Technique: First- and Second-Order Conditions

8.2. A Specific Utility Function

8.3. Choice between Labor and Leisure

8.4. Comparative Statics from Constrained Optimization: Two Approaches

8.5. Consumer Choice: The n -Good Case

8.6. Additively Separable Utility Functions

Chapter 9. Inequality Constraints in Optimization Theory

9.1. A Simple Inequality Constraint

9.2. The General Kuhn-Tucker Theorem

9.3. Economic Examples of Kuhn-Tucker Theory

9.4. Linear Programming

References

Appendix: Answers to Selected Problems

Index

Library of Congress subject headings for this publication:

Economics, Mathematical.