Mathematics for economists

An introductory textbook (third edition)

By Malcolm Pemberton

Mathematics for economists

Book Information

  • Format: Paperback
  • ISBN: 978-0-7190-8705-9
  • Pages: 720
  • Publisher: Manchester University Press
  • Price: £32.50
  • Published Date: August 2011
  • BIC Category: Economics, finance, business & management / Business mathematics & systems, BUSINESS & ECONOMICS / Economics / General, Business mathematics & systems, Economics, Economics


This book is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra. The second half of the book gives a thorough account of optimisation and dynamics in discrete and continuous time. The final two chapters are an introduction to the rigorous mathematical analysis used in graduate-level economics. 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.

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.

New features of the third edition include:
> sections on double integration and dynamic programming;
> substantial rewriting and expansion of early chapters, making the book highly accessible for the complete beginner.
> answers to all exercises and full solutions to all problems are available free online at


This is a great text to learn from - the authors do an excellent job providing intuitive explanations, making connections between results and illustrating the use of mathematics in solving economics problems, and there is a host of solved exercises which perform two roles: providing essential practice material and introducing further applications in economics.
Andrew Chesher, Director of The Centre for Microdata Methods and Practice, IFS and UCL


Malcolm Pemberton is Senior Lecturer in Economics at University College London. Nicholas Rau is Honorary Senior Lecturer in Economics at University College London.

Nicholas Rau is Honorary Senior Lecturer in Economics at University College London, Nicholas Rau is Honorary Senior Lecturer in Economics at University College London


Dependence of Chapters
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 differentiation
7. Methods of differentiation
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 in discrete time
28. Dynamic optimisation in continuous time
29. Introduction to analysis
30. Metric spaces and existence theorems
Notes on Further Reading

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