Economists’ Mathematical Manual

Front Matter....Pages i-x
Functions of one variable. Complex numbers....Pages 1-7
Limits. Differentiation (one variable)....Pages 9-12
Partial derivatives....Pages 13-16
Elasticities. Elasticities of substitution....Pages 17-20
Systems of equations....Pages 21-25
Inequalities....Pages 27-29
Series. Taylor formulas....Pages 31-34
Integration....Pages 35-41
Difference equations. (Recurrence relations)....Pages 43-46
Differential equations....Pages 47-54
Topological concepts in Euclidean space....Pages 55-58
Convexity....Pages 59-63
Classical optimization....Pages 65-69
Linear and nonlinear programming....Pages 71-76
Calculus of variations and optimal control theory....Pages 77-83
Discrete dynamic optimization....Pages 85-87
Vectors. Linear dependence. Scalar products....Pages 89-91
Determinants....Pages 93-96
Matrices....Pages 97-102
Characteristic roots. Quadratic forms....Pages 103-108
Special matrices. Leontief systems....Pages 109-112
Kronecker products and the vec operator....Pages 113-115
Differentiation of vectors and matrices....Pages 117-118
Comparative statics. Value functions....Pages 119-121
Properties of cost and profit functions....Pages 123-127
Consumer theory....Pages 129-133
Topics from finance and growth theory....Pages 135-138
Risk and risk aversion theory....Pages 139-140
Finance and stochastic calculus....Pages 141-143
Non-cooperative game theory....Pages 145-147
Statistical concepts....Pages 149-152
Statistical distributions. Least squares....Pages 153-156
Back Matter....Pages 157-168