Principles of Mathematical Economics [Hardcover]

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.

Notable for its use of mathematical models to tackle a range of real-world problems, and integrating genuine data, this self-contained text deploys existing, and freely accessible, online tools in a unique approach to modeling nonlinear mathematical economics.

Household Expenditure.- Variables, a Short Taxonomy.- Sets and Functions.- Market Equilibrium Model.- Rates of Change and the Derivative.- Optimal Level of Output and Long Run Price.- Nonlinear Models.- Additional Topics in Perfect and Imperfect Competition.- Logarithmic and Exponential Functions.- Production Function, Least-Cost Combination.- Economic Dynamics.- Mathematics of Interest Rates and Finance.- Matrices and Their Applications.

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

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