9780521551137

Mathematics for Economics and Finance : Methods and Modelling

by
  • ISBN13:

    9780521551137

  • ISBN10:

    0521551137

  • Format: Hardcover
  • Copyright: 1996-07-13
  • Publisher: Cambridge University Press
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Summary

Without expecting any particular background of the reader, this book covers graphs and relations, sequences and limits, partial derivatives, optimization, vectors, and matrix algebra. Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding.

Table of Contents

Mathematical models in economics
Mathematical terms and notations
Sequences, recurrences and limits
Elements of finance
The cobweb model
Introduction to calculus
Some special functions
Introduction to optimisation
The derivative in economics I
The derivative in economics II
Partial derivatives
Applications of partial derivatives
Optimisation in two variables
Vectors, preferences and convexity
Matrix algebra
Linear equations I
Linear equations II
Inverse matrices
The input output model
Determinants
Constrained optimisation
Lagrangians and the consumer
Second-order recurrence equations
Macroeconomic applications
Areas and integrals
Techniques of integration
First-order differential equations
Second-order differential equations
Selected solutions
Table of Contents provided by Publisher. All Rights Reserved.

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