Cart
Free US shipping over $10
Proud to be B-Corp

Mathematics for Economists Malcolm Pemberton

Mathematics for Economists By Malcolm Pemberton

Mathematics for Economists by Malcolm Pemberton


$26.45
Condition - Good
Only 1 left

Summary

The third edition of Mathematics for Economists features new sections on double integration and discrete-time dynamic programming, as well as an online solutions manual and answers to exercises.

Faster Shipping

Get this product faster from our US warehouse

Mathematics for Economists Summary

Mathematics for Economists: An Introductory Textbook by Malcolm Pemberton

This book is a self-contained treatment of all the mathematics needed by undergraduate and beginning graduate students of economics. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra as well as easily accessible introductions to optimization and dynamics. The emphasis throughout is on intuitive argument and problem solving. All methods are illustrated by well-chosen examples and exercises selected from central areas of modern economic analysis.The third edition of Mathematics for Economists features new sections on double integration and discrete-time dynamic programming, as well as an online solutions manual and answers to exercises. The book's careful arrangement into short chapters enables it to be used in a variety of course formats for students with and without prior knowledge of calculus, as well as for reference and self-study.

About Malcolm Pemberton

Malcolm Pemberton is a senior lecturer in the Department of Economics at University College London. Nicholas Rau is a senior lecturer in the Department of Economics at University College London.

Table of Contents

Preface Dependence of Chapters Answers and Solutions The Greek Alphabet 1 LINEAR EQUATIONS 1.1 Straight line graphs 1.2 An economic application: supply and demand 1.3 Simultaneous equations 1.4 Input-output analysis Problems on Chapter 1. 2 LINEAR INEQUALITIES 2.1 Inequalities 2.2 Economic applications 2.3 Linear programming Problems on Chapter 2 3 SETS AND FUNCTIONS 3.1 Sets and numbers. 3.2 Functions. 3.3 Mappings. Problems on Chapter 3. Appendix to Chapter 3. 4 QUADRATICS, INDICES AND LOGARITHMS 4.1 Quadratic functions and equations 4.2 Maximising and minimising quadratic functions 4.3 Indices. 4.4 Logarithms. Problems on Chapter 4. 5 SEQUENCES AND SERIES 5.1 Sequences. 5.2 Series. 5.3 Geometric progressions in economics Problems on Chapter 5. 6 INTRODUCTION TO DIFFERENTIATION 6.1 The derivative. 6.2 Linear approximations and differentiability 6.3 Two useful rules. 6.4 Derivatives in economics Problems on Chapter 6. Appendix to Chapter 6. 7 METHODS OF DIFFERENTIATION 7.1 The product and quotient rules 7.2 The composite function rule 7.3 Monotonic functions. 7.4 Inverse functions. Problems on Chapter 7. Appendix to Chapter 7. 8 MAXIMA AND MINIMA 8.1 Critical points. 8.2 The second derivative 8.3 Optimisation. 8.4 Convexity and concavity Problems on Chapter 8. 9 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 9.1 The exponential function 9.2 Natural logarithms. 9.3 Time in economics. Problems on Chapter 9. Appendix to Chapter 9. 10 APPROXIMATIONS 10.1 Linear approximations and Newton's method 10.2 The mean value theorem 10.3 Quadratic approximations and Taylor's theorem 10.4 Taylor series. Problems on Chapter 10. Appendix to Chapter 10. 11 MATRIX ALGEBRA 11.1 Vectors. 11.2 Matrices. 11.3 Matrix multiplication 11.4 Square matrices. Problems on Chapter 11. 12 SYSTEMS OF LINEAR EQUATIONS 12.1 Echelon matrices. 12.2 More on Gaussian elimination 12.3 Inverting a matrix. 12.4 Linear dependence and rank Problems on Chapter 12. 13 DETERMINANTS AND QUADRATIC FORMS 13.1 Determinants. 13.2 Transposition. 13.3 Inner products. 13.4 Quadratic forms and symmetric matrices Problems on Chapter 13. Appendix to Chapter 13. 14 FUNCTIONS OF SEVERAL VARIABLES 14.1 Partial derivatives. 14.2 Approximations and the chain rule 14.3 Production functions 14.4 Homogeneous functions Problems on Chapter 14. Appendix to Chapter 14. 15 IMPLICIT RELATIONS 15.1 Implicit differentiation 15.2 Comparative statics. 15.3 Generalising to higher dimensions Problems on Chapter 15. Appendix to Chapter 15. 16 OPTIMISATION WITH SEVERAL VARIABLES 16.1 Critical points and their classification 16.2 Global optima, concavity and convexity 16.3 Non-negativity constraints Problems on Chapter 16. Appendix to Chapter 16. 17 PRINCIPLES OF CONSTRAINED OPTIMISATION 17.1 Lagrange multipliers 17.2 Extensions and warnings 17.3 Economic applications 17.4 Quasi-concave functions Problems on Chapter 17. 18 FURTHER TOPICS IN CONSTRAINED OPTIMISATION 18.1 The meaning of the multipliers 18.2 Envelope theorems. 18.3 Inequality constraints Problems on Chapter 18. 19 INTEGRATION 19.1 Areas and integrals. 19.2 Rules of integration 19.3 Integration in economics 19.4 Numerical integration Problems on Chapter 19. Appendix to Chapter 19. 20 ASPECTS OF INTEGRAL CALCULUS 20.1 Methods of integration 20.2 Infinite integrals. 20.3 Differentiation under the integral sign 20.4 Double integrals. Problems on Chapter 20. 21 INTRODUCTION TO DYNAMICS 21.1 Differential equations 21.2 Linear equations with constant coefficients 21.3 Harder first-order equations 21.4 Difference equations Problems on Chapter 21. 22 THE CIRCULAR FUNCTIONS 22.1 Cycles, circles and trigonometry 22.2 Extending the definitions 22.3 Calculus with circular functions 22.4 Polar coordinates. Problems on Chapter 22. 23 COMPLEX NUMBERS 23.1 The complex number system 23.2 The trigonometric form 23.3 Complex exponentials and polynomials Problems on Chapter 23. 24 FURTHER DYNAMICS 24.1 Second-order differential equations 24.2 Qualitative behaviour 24.3 Second-order difference equations Problems on Chapter 24. Appendix to Chapter 24. 25 EIGENVALUES AND EIGENVECTORS 25.1 Diagonalisable matrices 25.2 The characteristic polynomial 25.3 Eigenvalues of symmetric matrices Problems on Chapter 25. Appendix to Chapter 25. 26 DYNAMIC SYSTEMS 26.1 Systems of difference equations 26.2 Systems of differential equations 26.3 Qualitative behaviour 26.4 Nonlinear systems. Problems on Chapter 26. Appendix to Chapter 26. 27 DYNAMIC OPTIMISATION IN DISCRETE TIME 27.1 The basic problem. 27.2 Variants of the basic problem 27.3 Dynamic programming. Problems on Chapter 27. Appendix to Chapter 27. 28 DYNAMIC OPTIMISATION IN CONTINUOUS TIME 28.1 The basic problem and its variants 28.2 The maximum principle 28.3 Two problems in resource economics 28.4 Problems with an infinite horizon Problems on Chapter 28. Appendix to Chapter 28. 29 INTRODUCTION TO ANALYSIS 29.1 Rigour. 29.2 More on the real number system 29.3 Sequences of real numbers 29.4 Continuity. Problems on Chapter 29. 30 METRIC SPACES AND EXISTENCE THEOREMS 30.1 Metric spaces. 30.2 Open, closed and compact sets 30.3 Continuous mappings. 30.4 Fixed point theorems Problems on Chapter 30. Appendix to Chapter 30. Notes on Further Reading

Additional information

CIN1442612762G
9781442612761
1442612762
Mathematics for Economists: An Introductory Textbook by Malcolm Pemberton
Used - Good
Paperback
University of Toronto Press
2011-09-30
720
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

Customer Reviews - Mathematics for Economists