## Mathematics for Economists: An Introductory TextbookThis text for undergraduates provides a thorough and self-contained treatment of all the mathematics commonly taught in honours degree economics. Features include extensive coverage of linear algebra, emphasizing its links with calculus and differential equations. |

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### Contents

LINEAR EQUATIONS | 1 |

LINEAR INEQUALITIES | 19 |

SETS AND FUNCTIONS | 35 |

VI | 52 |

QUADRATICS INDICES AND LOGARITHMS | 53 |

SEQUENCES AND SERIES | 69 |

INTRODUCTION TO DIFFERENTIATION | 86 |

METHODS OF DIFFERENTIATION | 107 |

IMPLICIT RELATIONS | 271 |

OPTIMISATION WITH SEVERAL VARIABLES | 294 |

PRINCIPLES OF CONSTRAINED OPTIMISATION | 318 |

FURTHER TOPICS IN CONSTRAINED OPTIMISATION | 347 |

Vlll | 370 |

ASPECTS OF INTEGRAL CALCULUS | 398 |

INTRODUCTION TO DYNAMICS | 415 |

THE CIRCULAR FUNCTIONS | 442 |

MAXIMA AND MINIMA | 121 |

EXPONENTIAL AND LOGARITHMIC FUNCTIONS | 147 |

APPROXIMATIONS | 165 |

MATRIX ALGEBRA | 184 |

SYSTEMS OF LINEAR EQUATIONS | 203 |

DETERMINANTS AND QUADRATIC FORMS | 224 |

FUNCTIONS OF SEVERAL VARIABLES | 245 |

COMPLEX NUMBERS | 466 |

FURTHER DYNAMICS | 483 |

EIGENVALUES AND EIGENVECTORS | 511 |

DYNAMIC SYSTEMS | 533 |

Notes on Further Reading | 570 |

607 | |

### Other editions - View all

Mathematics for Economists: An Introductory Textbook Malcolm Pemberton,Nicholas Rau Limited preview - 2015 |

Mathematics for Economists: An Introductory Textbook Malcolm Pemberton,Nicholas Rau Limited preview - 2011 |

### Common terms and phrases

algebra apply approximation assume calculate Chapter columns complex numbers concave function consider constrained maximum constraint convex convex function coordinates critical point defined demand functions denote diagonal entries diagram difference equation differential equation echelon matrix economics eigenvalues eigenvectors envelope theorem Example Exercises fact Figure fixed point function f(x generalise geometric progression given global maximum Hence income increases indifference curves inequality input integration investment isoquant Lagrange multiplier local maximum logarithms marginal maxima maximise mean value theorem method minimise minimum point multiplier n-vector natural number negative non-negative notation output panel partial derivatives particular solution positive constants positive number problem production function quantity quasi-concave real number result roots satisfies scalar Section semidefinite sequence Similarly Simpson's rule sketch the graph slope solve square matrix Suppose symmetric matrix tangent utility function variables vector x-axis zero