Mathematics for economists : an introductory textbook
- Malcolm Pemberton and Nicholas Rau.
- Fourth edition.
- Manchester : Manchester University Press, 
- Copyright notice
- Physical description
- xviii, 757 pages : illustrations ; 25 cm
At the library
Science Library (Li and Ma)
|HB135 .P45 2016||Unknown|
- Includes bibliographical references (pages 745-746) and index.
- 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)
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 probability, optimisation and dynamics. 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 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 self-study. This new fourth edition includes two chapters on probability theory, providing the essential mathematical background for upper-level 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)
- Economics, Mathematical.
- Publication date
- Copyright date
- Previous edition: 2011.
- 9781784991487 (pbk.)
- 1784991481 (pbk.)
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