Mathematics for economists: An introductory textbook, fifth edition

Couverture
Manchester University Press, 10 nov. 2023 - 856 pages

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 https://www.manchesterhive.com/page/mathematics-for-economists-supplementary-materials

 

Table des matières

LINEAR EQUATIONS
1
LINEAR INEQUALITIES
SETS AND FUNCTIONS
QUADRATICS INDICES AND LOGARITHMS
SEQUENCES SERIES AND LIMITS
INTRODUCTION TO DIFFERENTIATION
METHODS OF DIFFERENTIATION
MAXIMA AND MINIMA
INTEGRATION
ASPECTS OF INTEGRAL CALCULUS
PROBABILITY
EXPECTATION
INTRODUCTION TO DYNAMICS
THE CIRCULAR FUNCTIONS
COMPLEX NUMBERS
FURTHER DYNAMICS

9
APPROXIMATIONS
MATRIX ALGEBRA
SYSTEMS OF LINEAR EQUATIONS
DETERMINANTS AND QUADRATIC FORMS
FUNCTIONS OF SEVERAL VARIABLES
IMPLICIT RELATIONS
OPTIMISATION WITH SEVERAL VARIABLES
PRINCIPLES OF CONSTRAINED OPTIMISATION
FURTHER TOPICS IN CONSTRAINED OPTIMISATION
EIGENVALUES AND EIGENVECTORS
DYNAMIC SYSTEMS
DYNAMIC OPTIMISATION IN DISCRETE TIME
DYNAMIC OPTIMISATION IN CONTINUOUS TIME
INTRODUCTION TO ANALYSIS
METRIC SPACES AND EXISTENCE THEOREMS
FURTHER LINEAR ALGEBRA
CONVEX ANALYSIS
Notes on Further Reading
Droits d'auteur

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À propos de l'auteur (2023)

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

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