Mathematics for Economics and Finance

Martin Anthony is Professor of Mathematics at the London School of Economics and Political Science, where he has been Head of Department and Vice-Chair of the Academic Board. He is the author of five books. Martin has been heavily involved in LSE's distance learning initiatives through the University of London International Programme and is a recipient of multiple LSE Teaching Excellence Awards.

"An introduction to calculus and linear algebra for students of economics and related areas. Motivated throughout by problems from economics and finance, it covers the essential mathematics for a first-year university course in these areas, providing numerous examples and extensive exercises (with full solutions) to consolidate understanding"--

Preface to second edition; Preface to first edition; 1. Mathematical models in economics; 2. Mathematical terms and notations; 3. Sequences, recurrences, limits; 4. The elements of finance; 5. The cobweb model; 6. Introduction to calculus; 7. Some special functions; 8. Introduction to optimisation; 9. The derivative in economics - I; 10. The derivative in economics - II; 11. Partial derivatives; 12. Applications of partial derivatives; 13. Optimisation in two variables; 14. Vectors, preferences, and convexity; 15. Matrix algebra; 16. Linear equations - I; 17. Linear equations - II; 18. Inverse matrices; 19. The input-output model; 20. Determinants; 21. Constrained optimisation; 22. Lagrangians and the consumer; 23. Second-order recurrence equations; 24. Macroeconomic applications; 25. Areas and integrals; 26. Techniques of integration; 27. First-order differential equations; 28. Second-order differential equations; 29. Coupled systems and diagonalisation; 30. Applications of diagonalisation; Appendix A. Solutions to exercises; Appendix B. Answers to problems; Index.