Mathematics for economists

✍ Scribed by Carl P. Simon, Lawrence E. Blume

• Publisher: W. W. Norton & Company
• Year: 1994
• Tongue: English
• Leaves: 952
• Edition: 1st ed
• Category: Library

✦ Synopsis

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

✦ Table of Contents

Content: 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 optimization II --
20. Homogeneous 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: --
1. Sets, numbers, and proofs --
2. Trigonometric functions --
3. Complex numbers --
4. Integral calculus --
5. Introduction to probability --
6. Selected answers.