Accessible, concise, and interactive, this book introduces the mathematical methods that are indispensable in economics and finance. Fully updated to be as student friendly as possible, this edition contains extensive problems, worked examples and exercises (with full solutions at the end of the book). Two brand new chapters cover coupled systems of recurrence/differential equations, and matrix diagonalisation. All topics are motivated by problems from economics and finance, demonstrating to students how they can apply the mathematical techniques covered. For undergraduate students of…mehr
Accessible, concise, and interactive, this book introduces the mathematical methods that are indispensable in economics and finance. Fully updated to be as student friendly as possible, this edition contains extensive problems, worked examples and exercises (with full solutions at the end of the book). Two brand new chapters cover coupled systems of recurrence/differential equations, and matrix diagonalisation. All topics are motivated by problems from economics and finance, demonstrating to students how they can apply the mathematical techniques covered. For undergraduate students of economics, mathematics, or both, this book will be welcomed for its clarity and breadth and the many opportunities it provides for readers to practise and test their 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.
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.
Rezensionen
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
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