Essential Mathematics for Economic Analysis by Knut Sydsaeter
This text provides an invaluable introduction to the mathematical tools that undergraduate economists need. The coverage is comprehensive, ranging from elementary algebra to more advanced material, whilst focusing on all the core topics that are usually taught in undergraduate courses on mathematics for economists.
PREFACE
1. INTRODUCTORY TOPICS I: ALGEBRA
2. INTRODUCTORY TOPICS II: EQUATIONS
3. INTRODUCTORY TOPICS III: MISCELLANEOUS
4. FUNCTIONS OF ONE VARIABLE
5. PROPERTIES OF FUNCTIONS
6. DIFFERENTIATION
7. DERIVATIVES IN USE
8. SINGLE-VARIABLE OPTIMIZATION
9. INTEGRATION
10. INTEREST RATES AND PRESENT VALUES
11. FUNCTIONS OF MANY VARIABLES
12. TOOLS FOR COMPARATIVE STATICS
13. MULTIVARIABLE OPTIMIZATION
14. CONSTRAINED OPTIMIZATION
15. MATRIX AND VECTOR ALGEBRA
16. DETERMINANTS AND INVERSE MATRICES
17. LINEAR PROGRAMMING
APPENDIX: GEOMETRY, THE GREEK ALPHABET, ANSWERS ODD-NUMBERED PROBLEMS
INDEX