Economists’ Mathematical Manual

Presents mathematical furmulas and theorems common to economics and applied mathematics. It serves as an excellent reference for students and professionals.

1. Functions of one variable. Complex numbers.- 2. Limits. Differentiation (one variable).- 3. Partial derivatives.- 4. Elasticities. Elasticities of substitution.- 5. Systems of equations.- 6. Inequalities.- 7. Series. Taylor formulas.- 8. Integration.- 9. Difference equations. (Recurrence relations.).- 10. Differential equations.- 11. Topological concepts in Euclidean space.- 12. Convexity.- 13. Classical optimization.- 14. Linear and nonlinear programming.- 15. Calculus of variations and optimal control theory.- 16. Discrete dynamic optimization.- 17. Vectors. Linear dependence. Scalar products.- 18. Determinants.- 19. Matrices.- 20. Characteristic roots. Quadratic forms.- 21. Special matrices. Leontief systems.- 22. Kronecker products and the vec operator.- 23. Differentiation of vectors and matrices.- 24. Comparative statics. Value functions.- 25. Properties of cost and profit functions.- 26. Consumer theory.- 27. Topics from finance and growth theory.- 28. Risk and risk aversion theory.- 29. Finance and stochastic calculus.- 30. Non-cooperative game theory.- 31. Statistical concepts.- 32. Statistical distributions. Least squares.