Mathematics for economists : an introductory textbook
Author(s)
Bibliographic Information
Mathematics for economists : an introductory textbook
Manchester University Press, c2007
2nd ed
- : pbk
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Note
Previous ed.: 2001
Includes bibliographical references (p. 641-642) and index
Description and Table of Contents
Description
This book is a self-contained treatment of all the mathematics needed by undergraduate and beginning-graduate students of economics. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra and easily accessible introductions to optimisation and dynamics. The emphasis throughout is on intuitive argument and problem-solving. All methods are illustrated by well-chosen examples and exercises selected from central areas of modern economic analysis.
New features of the second edition include:
> a thorough exposition of dynamic optimisation in discrete and continuous time
> an introduction to the rigorous mathematical analysis used in graduate-level economics
The book's careful arrangement in short chapters enables it to be used in a variety of course formats for students with and without prior knowledge of calculus, as well as for reference and self-study. -- .
Table of Contents
Preface
The Greek alphabet
1. Linear equations
2. Linear inequalities
3. Sets and functions
4. Quadratics, indices and logarithms
5. Sequences and series
6. Introduction to differentation
7. Methods of differentation
8. Maxima and minima
9. Exponential and logarithmic functions
10. Approximations
11. Matrix algebra
12. Systems of linear equations
13. Determinants and quadratic forms
14. Functions of several variables
15. Implicit relations
16. Optimisation with several variables
17. Principles of constrained optimisation
18. Further topics in constrained optimisation
19. Integration
20. Aspects of integral calculus
21. Introduction to dynamics
22. The circular functions
23. Complex numbers
24. Further dynamics
25. Eigenvalues and eigenvectors
26. Dynamic systems
27. Dynamic optimisation
28. Optimal control theory
29. Introduction to analysis
30. Metric spaces and existence theorems -- .
by "Nielsen BookData"