Mathematics for economists (3e)

An introductory textbook

Malcolm Pemberton and Nicholas Rau

Price: GBP£ 32.50
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ISBN: 978-0-7190-8705-9
Subject Area: Economics
BIC Category: Business mathematics & systems
Edition: 3rd
Published: August 2011
246 x 189 mm
720 pages
Publisher: Manchester University Press
  • Description
  • Authors
  • Contents
  • Reviews
  • 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.
    > answers to all exercises and full solutions to all problems are available free online at <>
    Dependence of Chapters
    The Greek Alphabet
    1. Linear Equations
    2. Linear Inequalities
    3. Sets and functions
    4. Quadratics, indices and logarithms
    5. Sequences and series
    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. Introduction to dynamics
    22. The circular functions
    23. Complex numbers
    24. Further dynamics
    25. Eigenvalues and eigenvectors
    26. Dynamic systems
    27. Dynamic optimisation in discrete time
    28. Dynamic optimisation in continuous time
    29. Introduction to analysis
    30. Metric spaces and existence theorems
    Notes on Further Reading
    Malcolm Pemberton
    Malcolm Pemberton is Senior Lecturer in Economics at University College London
    Nicholas Rau
    Nicholas Rau is Honorary Senior Lecturer in Economics at University College London
    This is a great text to learn from – the authors do an excellent job providing intuitive explanations, making connections between results and illustrating the use of mathematics in solving economics problems, and there is a host of solved exercises which perform two roles: providing essential practice material and introducing further applications in economics.
    Andrew Chesher, Director of The Centre for Microdata Methods and Practice, IFS and UCL
    'In spite of the wide scope of this textbook, its presentation is clear and crisp. read more
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