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Principles of Mathematical Economics

  • Textbook
  • © 2014

Overview

Authors:
  1. Shapoor Vali

    1. Economics, Fordham University, New York, USA

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  • A unique approach to the treatment of "nonlinear" problems in Economics by using the existing, and freely accessible, on-line tools for solving nonlinear mathematical economics models, normally limited to "graphic" presentations
  • A very distinct feature is the concrete tackling of Real World Problems throughout, using mathematical models, and as much as possible, actual data in the process of operationalizing and solving the models
  • The self-contained nature of the textbook is evidenced by the large number of economic examples specified and solved in each chapter
  • Exercise sections of chapters contain a large number of problems covering application of the chapter's material in the various fields of economics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics Textbooks for Science and Engineering (MTSE, volume 3)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxviii
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  2. Household Expenditure

    • Shapoor Vali
    Pages 1-16

  3. Variables, a Short Taxonomy

    • Shapoor Vali
    Pages 17-23

  4. Sets and Functions

    • Shapoor Vali
    Pages 25-46

  5. Market Equilibrium Model

    • Shapoor Vali
    Pages 47-76

  6. Rates of Change and the Derivative

    • Shapoor Vali
    Pages 77-122

  7. Optimal Level of Output and Long Run Price

    • Shapoor Vali
    Pages 123-191

  8. Nonlinear Models

    • Shapoor Vali
    Pages 193-223

  9. Additional Topics in Perfect and Imperfect Competition

    • Shapoor Vali
    Pages 225-271

  10. Logarithmic and Exponential Functions

    • Shapoor Vali
    Pages 273-310

  11. Production Function, Least-Cost Combination of Resources, and Profit Maximizing Level of Output

    • Shapoor Vali
    Pages 311-346

  12. Economic Dynamics

    • Shapoor Vali
    Pages 347-377

  13. Mathematics of Interest Rates and Finance

    • Shapoor Vali
    Pages 379-428

  14. Matrices and Their Applications

    • Shapoor Vali
    Pages 429-486

  15. Back Matter

    Pages 487-491
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Keywords

About this book

Under the assumption of a basic knowledge of algebra and analysis, micro and macro economics, this self-contained and self-sufficient textbook is targeted towards upper undergraduate audiences in economics and related fields such as business, management and the applied social sciences. The basic economics core ideas and theories are exposed and developed, together with the corresponding mathematical formulations. From the basics, progress is rapidly made to sophisticated nonlinear, economic modelling and real-world problem solving. Extensive exercises are included, and the textbook is particularly well-suited for computer-assisted learning.

Authors and Affiliations

  • Economics, Fordham University, New York, USA

    Shapoor Vali

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