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 three 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.
By:
Malcolm Pemberton,
Nicholas Rau
Imprint: Manchester University Press
Country of Publication: United Kingdom
Dimensions:
Height: 246mm,
Width: 189mm,
Spine: 46mm
Weight: 1.503kg
ISBN: 9781526173539
ISBN 10: 1526173530
Pages: 856
Publication Date: 03 October 2023
Audience:
College/higher education
,
Professional and scholarly
,
Children/juvenile
,
Primary
,
Undergraduate
Format: Paperback
Publisher's Status: Active
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 Index -- .
Malcolm Pemberton is Associate Professor of Economics at University College London Nicholas Rau is Honorary Senior Lecturer in Economics at University College London -- .
Reviews for Mathematics for Economists: An Introductory Textbook, Fifth Edition
'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 -- .
