1. Linear equations
2. Linear inequalities
3. Sets and functions
4. Quadratics, indices and logarithms
5. Sequences, series and limits
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. Probability
22. Expectation
23. Introduction to dynamics
24. The circular functions
25. Complex numbers
26. Further dynamics
27. Eigenvalues and eigenvectors
28. Dynamic systems
29. Dynamic optimisation in discrete time
30. Dynamic optimisation in continuous time
31. Introduction to analysis
32. Metric spaces and existence theorems
Notes on further reading
Index
Malcolm Pemberton is Senior Lecturer in Economics at University
College London
Nicholas Rau is Honorary Senior Lecturer in Economics at University
College London
'In spite of the wide scope of this textbook, its presentation is
clear and crisp. The materials are very carefully organised. The
transition from mathematical principles to economic propositions is
remarkably lucid throughout the book. If a first-year undergraduate
student in economics comes to ask me which one, among many books on
mathematics for economists, to buy for years to come, then I would
definitely tell them that this is the one.'
Chiaki Hara, Institute of Economic Research, Kyoto University
‘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
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