## Pure Mathematics, Volume 2This volume continues the work covered in the first book, Pure Mathematics 1, and is intended to complete a full two year course in Pure Mathematics. It caters for the Pure Mathematics content of most courses in Further Mathematics and also for preparation for the Advanced Extension Award. |

### Contents

Preface V | 1 |

Coordinate Geometry I | 62 |

Coordinate Geometry II | 111 |

Three dimensional space Coordinate methods | 139 |

Three dimensional space Vector methods | 183 |

Transformations and Linear Equations | 248 |

Mathematical Proof | 305 |

Summation of Series | 332 |

Some Functions and their Properties | 364 |

### Common terms and phrases

angle approximation axis called Cartesian centre Chapter chord circle column common complex Consider contains coordinates cosh curve defined determinant diagram differential equation direction direction ratios distance divided element ellipse equal Evaluate example EXERCISE expressed factor false Find the equation function given gives gradient graph Hence hyperbola identity integral intersection inverse length linear locus maps matrix meets method midpoint normal Note origin pair parabola parallel parametric particular passes perpendicular plane polynomial position vector Prove Question real roots represents respectively result roots rotation satisfy Show sinh solution Solve square statement tangent theorem transformation triangle true unit values variable vector equation volume Write