Synopses & Reviews
Synopsis
As one's understanding of functions, relationships, and variables becomes richer and more detailed, one's ability to provide explanations for economic phenomena becomes stronger and more sophisticated. Here, the author encourages the student's geometric intuition of the mathematical results, reflecting his belief that a student's intuition should be involved in the study of mathematical techniques in economics.
Synopsis
Looking at the process through which we arrive at adequate explanations for economic events, the author organizes the topics beginning with real numbers and functions, emphasizes the idea of linearity and encourages the reader to develop geometric intuition for the mathematical results.
Table of Contents
Preface; 1. Real numbers; 2. Functions from R to R; 3. R2 and Rn; 4. Functions from Rn to R; 5. Functions from Rm to Rn: the linear case; 6. Differentiable functions from Rm to Rn; 7. Square matrices; 8. Stability of linear dynamic systems; 9. Quadratic forms; 10. Concave, convex, and homogeneous functions from Rn to R; 11. Optimization (I); 12. Optimization (II); Additional exercises; Bibliography; Index.