Martin Anthony (London School of Economics and Political Science), Norman Biggs (London School of Economics and Political Science)

Mathematics for Economics and Finance (eBook, PDF)

Methods and Modelling

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press (Virtual Publishing)
• Erscheinungstermin: 23. Mai 2024
• ISBN-13: 9781108693721
• Artikelnr.: 72462172

Autorenporträt

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.

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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