## Heinemann Modular Maths Edexcel Further Pure Maths 3, Volume 3Drawing on over 10 years' experience of publishing for Edexcel maths, Heinemann Modular Maths for Edexcel AS and A Level brings you dedicated textbooks to help you give your students a clear route to success, now with new Core maths titles to match the new 2004 specification. Further Pure 3 replaces Pure 6 in the new specification. |

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### Contents

Maclaurin and Taylor series | 1 |

Complex numbers | 19 |

the иplane | 45 |

Matrix algebra | 53 |

transformation | 78 |

Vectors | 109 |

Numerical methods | 145 |

Proof | 157 |

### Common terms and phrases

a x b acute angle Argand diagram ascending powers b x c b x d Book C2 cartesian equation column complex number coordinates cosh decimal places diagonal matrix differential equation eigenvalues eigenvector corresponding Example Exercise Find the area Find the inverse find the matrix find the values form r.n formula Given giving your answer Hence find hyperbolic functions including the term induction to prove iv-plane length of 0.1 lies linear transformation Maclaurin's mathematical induction modulus Moivre's theorem multiply normalised eigenvector nth roots obtain orthogonal matrix plane with equation point with position position vector positive integer prove by induction r(cos radius real axis respectively roots of unity scalar product series expansion series solution shortest distance Show sinh sinö Sketch the locus step length symmetric matrix Taylor series term in v3 tetrahedron triangle unit vector vector equation vector product z-plane