Malcolm Pemberton

Mathematics for Economists

• Broschiertes Buch

Produktbeschreibung

This book is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra. The second half of the book gives a thorough account of optimisation and dynamics in discrete and continuous time. The final two chapters are an introduction to the rigorous mathematical analysis used in graduate-level economics. The emphasis throughout is on intuitive argument and problem-solving. All methods are illustrated by well-chosen examples and exercises selected from central areas of modern economic analysis. The book's careful arrangement in short chapters enables it to be used in a variety of course formats for students with and without prior knowledge of calculus, as well as for reference and self-study. New features of the third edition include: > sections on double integration and dynamic programming; > substantial rewriting and expansion of early chapters, making the book highly accessible for the complete beginner.

Produktdetails

• Verlag: Manchester University Press
• Revised
• Seitenzahl: 720
• Erscheinungstermin: August 2011
• Englisch
• Abmessung: 244mm x 190mm x 38mm
• Gewicht: 1354g
• ISBN-13: 9780719087059
• ISBN-10: 0719087058
• Artikelnr.: 37206711

Autorenporträt

Malcolm Pemberton is Senior Lecturer in Economics at University College London Nicholas Rau is Honorary Senior Lecturer in Economics at University College London

Inhaltsangabe

1. Linear equations 2. Linear inequalities 3. Sets and functions 4.
Quadratics, indices and logarithms 5. Sequences, series and limits 6.
Introduction to differentiation 7. Methods of differentiation 8. Maxima and
minima 9. Exponential and logarithmic functions 10. Approximations 11.
Matrix algebra 12. Systems of linear equations 13. Determinants and
quadratic forms 14. Functions of several variables 15. Implicit relations
16. Optimisation with several variables 17. Principles of constrained
optimisation 18. Further topics in constrained optimisation 19. Integration
20. Aspects of integral calculus 21. Probability 22. Expectation 23.
Introduction to dynamics 24. The circular functions 25. Complex numbers 26.
Further dynamics 27. Eigenvalues and eigenvectors 28. Dynamic systems 29.
Dynamic optimisation in discrete time 30. Dynamic optimisation in
continuous time 31. Introduction to analysis 32. Metric spaces and
existence theorems Notes on further reading Index