1st Edition

Mathematical Economics

By Arsen Melkumian Copyright 2011
    232 Pages 49 B/W Illustrations
    by Routledge

    230 Pages 49 B/W Illustrations
    by Routledge

    This textbook, designed for a single semester course, begins with basic set theory, and moves briskly through fundamental, exponential, and logarithmic functions. Limits and derivatives finish the preparation for economic applications, which are introduced in chapters on univariate functions, matrix algebra, and the constrained and unconstrained optimization of univariate and multivariate functions. The text finishes with chapters on integrals, the mathematics of finance, complex numbers, and differential and difference equations.

    Rich in targeted examples and explanations, Mathematical Economics offers the utility of a handbook and the thorough treatment of a text. While the typical economics text is written for two semester applications, this text is focused on the essentials. Instructors and students are given the concepts in conjunction with specific examples and their solutions.

    1. Introduction  2. Fundamental Functions and Series  3. Limits and Derivatives  4. Extreme Values of Univariate Functions  5. Exponential and Logarithmic Functions  6. Matrix Algebra  7. Unconstrained Optimization  8. Constrained Optimization  9.
    10. Further Topics in Matrix Algebra  11. Difference Equations  12. Complex Numbers  13. Differential Equations  14. Optimal Control Theory

    Biography

    Arsen Melkumian is Assistant Professor of Economics at Western Illinois University.