Mathematics for Economists

An Introductory Textbook, Fifth Edition

AvMalcolm Pemberton,Nicholas Rau

Häftad, Engelska, 2023

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Häftad

681 kr

Beskrivning

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 and full table of contents for the new edition, together with answers to exercises and solutions to problems, are available from https://www.manchesterhive.com/mathematics-for-economists-supplementary-materials

Produktinformation

Utgivningsdatum:2023-09-19
Mått:189 x 246 x 46 mm
Vikt:1 503 g
Format:Häftad
Språk:Engelska
Antal sidor:856
Förlag:Manchester University Press
ISBN:9781526173539

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Mer om författaren

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

Recensioner i media

'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

Innehållsförteckning

1 Linear equations2 Linear inequalities3 Sets and functions4 Quadratics, indices and logarithms5 Sequences, series and limits6 Introduction to differentiation7 Methods of differentiation8 Maxima and minima9 Exponential and logarithmic functions10 Approximations11 Matrix algebra12 Systems of linear equations 13 Determinants and quadratic forms 14 Functions of several variables 15 Implicit relations16 Optimisation with several variables17 Principles of constrained optimisation18 Further topics in constrained optimisation 19 Integration 20 Aspects of integral calculus21 Probability22 Expectation 23 Introduction to dynamics 24 The circular functions25 Complex numbers 26 Further dynamics 27 Eigenvalues and eigenvectors 28 Dynamic systems 29 Dynamic optimisation in discrete time 30 Dynamic optimisation in continuous time31 Introduction to analysis32 Metric spaces and existence theorems33 Further linear algebra34 Convex analysis Notes on further readingIndex