Mathematical Analysis and Optimization for Economists

ISBN-13: 9780367759018 / Angielski / Twarda / 2021 / 325 str.

Michael J. Panik

Opis

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.

Recenzje

“Mathematics plays a vital role in providing the logical and foundational basis for several other branches of knowledge. This is particularly true in fields such as economics. Attempting to understand economics without a reasonable grip on mathematics is unwise.

[. . .] The book, Mathematical Analysis and Optimization for Economists, is written with a two-fold intention—on one hand, it envisages making the power and usefulness of contemporary mathematical methodologies evident to the students of economics, and on the other, it attempts at illustrating how these techniques or methodologies could be employed in the solutions of macroeconomic problems. [. . .] The book contains a good number of references for further reading and a very rich index is appended for a quick look-up. It could safely be classified as an intermediate-level textbook. [. . .] it is a very rich source of literature on mathematical analysis and optimization for economists.”

 – Technometrics

Spis treści

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.

O autorze

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.