Mathematical Analysis and Optimization for Economists

In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems.

Autorentext

Michael J. Panik is Professor Emeritus in the Department of Economics and Finance at the University of Hartford, CT. He has taught courses in economic and business statistics, introductory and advanced quantitative methods, and econometrics. Dr. Panik is the author of several textbooks, monographs, and numerous articles in professional journals.

Zusammenfassung
In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems.

Inhalt

Preface. Author. Symbols and Abbreviations. Mathematical Foundations 1. Mathematical Foundations 2. Mathematical Foundations 3. Mathematical Foundations 4. Global and Local Extrema of Real-Valued Functions. Global Extrema of Real-Valued Functions. Local Extrema of Real-Valued Functions. Convex and Concave Real-Valued Functions. Generalizations of Convexity and Concavity. Constrained Extrema: Equality Constraints. Constrained Extrema: Inequality Constraints. Constrained Extrema: Mixed Constraints. Lagrangian Saddle Points and Duality. Generalized Concave Optimization. Homogeneous, Homothetic, and Almost Homogeneous Functions. Envelope Theorems. The Fixed Point Theorems of Brouwer and Kakutani. Dynamic Optimization: Optimal Control Modeling. Comparative Statics Revisited. References. Index.