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
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Mathematics for economists
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Table of contents
- Preface
- Dependence of Chapters
- The Greek Alphabet
- 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
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Yes, you can access Mathematics for economists by Malcolm Pemberton,Nicholas Rau in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.