Mathematics for economists : an introductory textbook

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 variable 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 33. Further linear algebra 34. Convex analysis

This book coveres include calculus, matrix algebra, probability, dynamics and static and dynamic optimisation, all illustrated by examples and problems from central areas of modern economics.