## Further Pure MathematicsThis volume continues the work covered in Core Maths or Mathematics - The Core Course for Advanced Level to provide a full two-year course in Pure Mathematics for A-Level. |

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Not actually according to the syllabus specified by Cambridge so not very helpful but in some cases it is. Need to revise it according to the new syllabus. Very vigorous and confusing too.

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this book is beatiful

### Contents

Preface V | 1 |

Further Transformations | 64 |

Mathematical Proof | 149 |

Functions | 173 |

Polar Coordinates | 222 |

Differential Equations | 269 |

Complex Numbers | 290 |

Polynomial Functions and Equations | 342 |

Further Integration and Some Applications | 374 |

### Common terms and phrases

angle approximation Argand diagram axis called centre chord circle column complex conjugate consider constant continuous convergent coordinates corresponding cosh curve defined determinant diagonal diameter differential equation distance eigenvalues eigenvectors elements ellipse entry equal example Exercise express factor Find Find the equation function given gives gradient Hence hyperbola identity integral inverse isomorphic length linear locus maps matrix means meets method multiplication normal Note obtained operation origin orthogonal matrix pair parabola parallel perpendicular plane polynomial positive powers proof Prove quadratic Question reflection relationship remainder represents result roots rotation satisfy Show sinh Sketch solution solve square statement symmetry tangent Theorem transformation triangle true unit values vector vector space volume Write zero