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Mathematics in Economics: Models and Methods

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$82.00

Mathematics in Economics: Models and Methods

Adam Ostaszewski

ISBN: 978-0-631-18056-2 September 1993 Wiley-Blackwell 532 Pages

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Description

A valuable guide to the mathematical apparatus that underlies so much of modern economics. The approach to mathematics is rigorous and the mathematical techniques are always presented in the context of the economics problem they are used to solve. Students can gain insight into, and familiarity with, the mathematical models and methods involved in the transition from 'phenomenon' to quantitative statement.
Part I:.

1. Sets and Numbers.

2. Matrices and Vectors.

3. Modelling Consumer Choice.

4. Discrete Variables.

5. Functions.

6. Equilibrium.

7. Eigenvalues and Eigenvectors.

Part II:.

1. Limits and Their Uses.

2. Continuity and Its Uses.

3. Uses of the Derivative.

4. Continuous Compounding and Exponential Growth.

5. Partial Differentiation.

6. The Gradient.

7. Taylor's Theorem - An Approximation Tool.

8. Optimisation in Two Variables.

9. Economic Dynamics: Differential Equations.

"I wish Adam Ostaszewski good luck with this book. May it enjoy the success it deserves." Ken Binmore, University of Michigan

"I believe Mathematics in Economics to be an excellent book, which is much needed in first year UK degree programmes. Its coverage of syllabus is better than its rivals and its treatment of the economics and the mathematics indicates that considerable rigour is needed to do things properly." Martin Cripps, University of Warwick

"In this book the build-up in confidence is done gradually by means of carefully chosen examples."

"Throughout the book the approach to mathematics is rigorous, and excellent use is made of graphs and other figures."

"A valuable guide to the ways in which mathematics provides a basis for modern economics." Tony Whitford

* This textbook is based on a course taught jointly by an economist and a mathematician making it a balanced and comprehensive introduction to mathematics in economics.
* Mathematical techniques are always presented in the context of the economics problems they are used to solve.
* The author has provided stimulating exercises and the solutions to selected problems allow the book to act as an effective teaching tool.
* This textbook is based on a course taught jointly by an economist and a mathematician making it a balanced and comprehensive introduction to mathematics in economics.
* Mathematical techniques are always presented in the context of the economics problems they are used to solve.
* The author has provided stimulating exercises and the solutions to selected problems allow the book to act as an effective teaching tool.