Mathematics for economists

An introductory textbook, fifth edition

By Malcolm Pemberton and Nicholas Rau

Mathematics for economists
Paperback -
  • Price: £49.99
  • ISBN: 9781526173539
  • Publish Date: Sep 2023
  • Publisher: Manchester University Press
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  • Price: £49.99
  • ISBN: 9781526173522
  • Publish Date: Nov 2023
  • Publisher: Manchester University Press
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    Book Information

    • Format: Paperback
    • ISBN: 978-1-5261-7353-9
    • Pages: 856
    • Price: £49.99
    • Published Date: September 2023


    This book is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics, econometrics and finance. 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, dynamics and static and dynamic optimisation. The last four chapters are an accessible 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.

    The preface to the new edition and full table of contents are available from


    'This is the best mathematics for economists textbook that I have come across. It is very clearly written, starts at a basic level, and gradually advances all the way up to dynamic optimization in continuous time. I find that students understand dynamic economic models much better after having studied Pemberton and Rau's textbook.'
    Paul S. Segerstrom, Professor of International Economics, Stockholm School of Economics


    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
    33 Further linear algebra
    34 Convex analysis

    Notes on further reading


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

    Mathematics for economists

    By Malcolm Pemberton, Nicholas Rau

    Paperback £49.99 / $74.95

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