Mathematics for Economists, a new text for advanced undergraduate and beginning graduate students in economics, is a thoroughly modern treatment of the mathematics that underlies economic theory.

An abundance of applications to current economic analysis, illustrative diagrams, thought-provoking exercises, careful proofs, and a flexible organization-these are the advantages that Mathematics for Economists brings to today's classroom.

Part I: Introduction

1. Introduction
2. One-Variable Calculus: Foundations
3. One-Variable Calculus: Applications
4. One-Variable Calculus: Chain Rule
5. Exponents and Logarithms

Part II: Linear Algebra

6. Introduction to Linear Algebra
7. Systems of Linear Equations
8. Matrix Algebra
9. Determinants: An Overview
10. Euclidean Spaces
11. Linear Independence

Part III: Calculus of Several Variables

12. Limits and Open Sets
13. Functions of Several Variables
14. Calculus of Several Variables
15. Implicit Functions and Their Derivatives

Part IV: Optimization

16. Quadratic Forms and Definite Matrices
17. Unconstrained Optimization
18. Constrained Optimization I: First Order Conditions
19. Constrained Optimizations II
20. Homogenous and Homothetic Functions
21. Concave and Quasiconcave Functions
22. Economic Applications

Part V: Eigenvalues and Dynamics

23. Eigenvalues and Eigenvectors
24. Ordinary Differential Equations: Scalar Equations
25. Ordinary Differential Equations: Systems of Equations

Part VI : Advanced Linear Algebra

26. Determinants: The Details
27. Subspaces Attached to a Matrix
28. Applications of Linear Independence

Part VII: Advanced Analysis

29. Limits and Compact Sets
30. Calculus of Several Variables II

Part VIII: Appendices

A1. Sets, Numbers, and Proofs
A2. Trigonometric Functions
A3. Complex Numbers
A4. Integral Calculus
A5. Introduction to Probability
A6. Selected Answers