Mathematics for economists : an introductory textbook
 Responsibility
 Malcolm Pemberton and Nicholas Rau.
 Edition
 Fourth edition.
 Publication
 Manchester : Manchester University Press, [2016]
 Copyright notice
 ©2016
 Physical description
 xviii, 757 pages : illustrations ; 25 cm
At the library
Science Library (Li and Ma)
Stacks
Call number  Status 

HB135 .P45 2016  Unknown 
More options
Description
Creators/Contributors
 Author/Creator
 Pemberton, Malcolm, author.
 Contributor
 Rau, Nicholas, author.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 745746) and index.
 Contents

 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.
 (source: Nielsen Book Data)
 Summary

This book is a selfcontained treatment of all the mathematics needed by undergraduate and masterslevel 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 probability, optimisation and dynamics. The final two chapters are an introduction to the rigorous mathematical analysis used in graduatelevel economics. The emphasis throughout is on intuitive argument and problemsolving. All methods are illustrated by examples, exercises and problems 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 or without prior knowledge of calculus, for reference and for selfstudy. This new fourth edition includes two chapters on probability theory, providing the essential mathematical background for upperlevel courses on economic theory, econometrics and finance. Answers to all exercises and complete solutions to all problems are available online from a regularly updated website.
(source: Nielsen Book Data)
Subjects
 Subject
 Economics, Mathematical.
Bibliographic information
 Publication date
 2016
 Copyright date
 2016
 Note
 Previous edition: 2011.
 ISBN
 9781784991487 (pbk.)
 1784991481 (pbk.)