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.
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.
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.
Inhaltsangabe
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.
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.
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