Mathematics for economists
eBook - ePub

Mathematics for economists

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Mathematics for economists

About this book

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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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.

Table of contents

  1. Preface
  2. Dependence of Chapters
  3. The Greek Alphabet
  4. 1 LINEAR EQUATIONS
  5. 2 LINEAR INEQUALITIES
  6. 3 SETS AND FUNCTIONS
  7. 4 QUADRATICS, INDICES AND LOGARITHMS
  8. 5 SEQUENCES, SERIES AND LIMITS
  9. 6 INTRODUCTION TO DIFFERENTIATION
  10. 7 METHODS OF DIFFERENTIATION
  11. 8 MAXIMA AND MINIMA
  12. 9 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
  13. 10 APPROXIMATIONS
  14. 11 MATRIX ALGEBRA
  15. 12 SYSTEMS OF LINEAR EQUATIONS
  16. 13 DETERMINANTS AND QUADRATIC FORMS
  17. 14 FUNCTIONS OF SEVERAL VARIABLES
  18. 15 IMPLICIT RELATIONS
  19. 16 OPTIMISATION WITH SEVERAL VARIABLES
  20. 17 PRINCIPLES OF CONSTRAINED OPTIMISATION
  21. 18 FURTHER TOPICS IN CONSTRAINED OPTIMISATION
  22. 19 INTEGRATION
  23. 20 ASPECTS OF INTEGRAL CALCULUS
  24. 21 PROBABILITY
  25. 22 EXPECTATION
  26. 23 INTRODUCTION TO DYNAMICS
  27. 24 THE CIRCULAR FUNCTIONS
  28. 25 COMPLEX NUMBERS
  29. 26 FURTHER DYNAMICS
  30. 27 EIGENVALUES AND EIGENVECTORS
  31. 28 DYNAMIC SYSTEMS
  32. 29 DYNAMIC OPTIMISATION IN DISCRETE TIME
  33. 30 DYNAMIC OPTIMISATION IN CONTINUOUS TIME
  34. 31 INTRODUCTION TO ANALYSIS
  35. 32 METRIC SPACES AND EXISTENCE THEOREMS
  36. 33 FURTHER LINEAR ALGEBRA
  37. 34 CONVEX ANALYSIS
  38. Notes on Further Reading
  39. Index