Principles of Mathematical Economics

Front Cover
Springer Science & Business Media, Dec 2, 2013 - Business & Economics - 491 pages
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.
 

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Contents

1 Household Expenditure
1
2 Variables a Short Taxonomy
17
3 Sets and Functions
24
4 Market Equilibrium Model
47
5 Rates of Change and the Derivative
77
6 Optimal Level of Output and Long Run Price
123
7 Nonlinear Models
193
8 Additional Topics in Perfect and Imperfect Competition
224
9 Logarithmic and Exponential Functions
273
10 Production Function LeastCost Combination of Resources and Profit Maximizing Level of Output
311
11 Economic Dynamics
347
12 Mathematics of Interest Rates and Finance
378
13 Matrices and Their Applications
429
Index
487
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