Maxima and Minima: Theory and Economic Applications

Front Matter....Pages I-XII
Preliminary Observations....Pages 1-7
Maximum and Minimum in the Discrete Case. Introduction to the Problem of Linear Programming....Pages 8-14
Preliminary Remarks on the Determination of the Extrema of a Continuous Function of One Variable....Pages 15-20
Exact Concepts Concerning Taylor’s Formula and the Extrema of a Function of One Variable....Pages 21-26
The Necessary Condition of the First Order in the Case of Two or More Variables, Without Constraints....Pages 27-36
The Necessary Condition of the First Order in the Case of Two or More Variables with Constraints....Pages 37-47
Simultaneous Search for the Extrema of Several Functions. Pareto Optimality....Pages 48-59
Linear Equations....Pages 60-85
Linear Relations between Vectors, Between Functions, and Between Equations....Pages 86-100
Second Order Condition and Sufficient Criterion for Local Extremum in the Case of Two Variables Without Constraints....Pages 101-118
Second-Order Conditions and Sufficient Criteria for the Local Extremum in the Case of Several Variables without Constraints....Pages 119-121
Second-Order Conditions and Sufficient Criteria for the Local Extremum in the Case of Several Variables with Constraints....Pages 122-143
A Brief Account of the Theory of Matrices and of the Calculation of Determinants....Pages 144-170
Back Matter....Pages 171-176