Mathematics for economists: An introductory textbook, fifth editionManchester 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. |
Table des matières
| 1 | |
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 | |
Autres éditions - Tout afficher
Mathematics for Economists: An Introductory Textbook Malcolm Pemberton,Nicholas Rau Aperçu limité - 2001 |
Mathematics for Economists: An Introductory Textbook Malcolm Pemberton,Nicholas Rau Affichage d'extraits - 2001 |
Mathematics For Economists: An Introductory Textbook, Second Edition Malcolm Pemberton,Nicholas Rau Aucun aperçu disponible - 2007 |
