Mathematics for Economics and Finance: Methods and Modelling / Edition 1

by Martin Anthony

Overview

Without expecting any particular background of the reader, this book covers graphs and relations, sequences and limits, partial derivatives, optimization, vectors and matrix algebra. Throughout, the stress is firmly on how the mathematics relates to economics.

Product Details

ISBN-13:	2900521559132
Publication date:	07/13/1996
Pages:	407
Product dimensions:	5.98(w) x 8.98(h) x 0.91(d)

About the Author

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.

Norman Biggs is Professor Emeritus in the Department of Mathematics at the London School of Economics and Political Science, where he was Head of Department and Vice-Chair of the Appointments Committee. He is the author of thirteen books, including 'Discrete Mathematics' (Second Edition, 2002). He previously served as General Secretary of the London Mathematical Society.

Table of Contents

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.

Editorial Reviews

Review of the first edition: ‘Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding.’ L’Enseignement Mathématique

From the Publisher