## Basic Mathematics for EconomistsBasic Mathematics for Economists /FONT Economics students will welcome the new edition of this excellent textbook. Given that many students come into economics courses without having studied mathematics for a number of years, this clearly written book will help to develop quantitative skills in even the least numerate student up to the required level for a general Economics or Business Studies course. All explanations of mathematical concepts are set out in the context of applications in economics.This new edition incorporates several new features, including new sections on: financial mathematics continuous growth· matrix algebraImproved pedagogical features, such as learning objectives and end of chapter questions, along with an overall example-led format and the use of Microsoft Excel for relevant applications mean that this textbook will continue to be a popular choice for both students and their lecturers. Mike Rosser is Principal Lecturer in Economics in the Business School at Coventry University. |

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### Contents

Arithmetic | 8 |

Introduction to algebra | 34 |

Graphs and functions | 63 |

Linear equations | 109 |

Quadratic equations | 168 |

series time and investment | 189 |

Introduction to calculus | 247 |

Unconstrained optimization | 272 |

Constrained optimization | 334 |

Further topics in calculus | 364 |

Dynamics and difference equations | 395 |

Exponential functions continuous growth | 432 |

Matrix algebra | 465 |

Answers | 510 |

523 | |

Partial differentiation | 291 |

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algebraic amount Assume axis basic budget constraint calculate cell chain rule Chapter cobweb model column constant corresponding cost function demand function demand schedule determined difference equation differential equation elasticity of demand equilibrium value Example Exercise explained Figure final sum firm faces firm's first-order conditions format formula function Q geometric series gives graph Hessian income increase independent variable inputs interest rate inverse investment isoquant Lagrange logarithms marginal cost marginal cost schedule marginal revenue mathematical matrix maximize profit maximum method MRPl multiplied negative number objective function output level parameters partial derivatives period price discrimination problems production function quadratic equation quotient rule reduced form equation rule second-order conditions simultaneous equations slope Solution solve spreadsheet stationary point Substituting this value Subtracting supply schedule tonnes total cost total revenue unit unknown variables value of q vector zero