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Mathematical Analysis and Optimization for Economists book cover

1st Edition

Mathematical Analysis and Optimization for Economists

By Michael J. Panik Copyright 2022
343 Pages 89 B/W Illustrations
by Chapman & Hall

343 Pages 89 B/W Illustrations
by Chapman & Hall

343 Pages 89 B/W Illustrations
by Chapman & Hall
Also available as eBook on:
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. This book combines the areas of intermediate to advanced mathematics,... Read more

Preface

Author

Symbols and Abbreviations

1. Mathematical Foundations 1

2. Mathematical Foundations 2

3. Mathematical Foundations 3

4. Mathematical Foundations 4

5. Global and Local Extrema of Real-Valued Functions

6. Global Extrema of Real-Valued Functions

7. Local Extrema of Real-Valued Functions

8. Convex and Concave Real-Valued Functions

9. Generalizations of Convexity and Concavity

10. Constrained Extrema: Equality Constraints

11. Constrained Extrema: Inequality Constraints

12. Constrained Extrema: Mixed Constraints

13. Lagrangian Saddle Points and Duality

14. Generalized Concave Optimization

15. Homogeneous, Homothetic, and Almost Homogeneous Functions

16. Envelope Theorems

17. The Fixed Point Theorems of Brouwer and Kakutani

18. Dynamic Optimization: Optimal Control Modeling

19. Comparative Statics Revisited

References

Index

Biography

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.

“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

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