## Modern Syllabus AlgebraModern Syllabus Algebra presents topics of traditional and modern algebra found in the Teachers Certificate and B.Ed, part I syllabuses of University Institutes of Education. It also contains additional exercises taken from examination papers of the University of London Institute of Education (the Teachers' Certificate). |

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### Contents

Purpose and method | 1 |

Sets | 5 |

Relations and functions | 29 |

Copyright | |

13 other sections not shown

### Common terms and phrases

Abelian group addition and multiplication additive identity additive inverses Answers to Examples associative binary operation Boolean algebra Cayley table Chapter circuit column combined commutative complex number consider contains Cramer's rule cyclic group decimal deduce defined discs domain eigenvalues equivalent factor fourth order function group structure Hence identity element instance integers intersection invariant lines inverse element isomorphic laws linear equation linearly independent mathematics matrix multiplication modulo multiplicative inverse notation number set numerical example order determinant order group ordered pairs permutations plane points possible probability produce proper sub-set prove rational number reader real numbers recurring decimal relation represented result ring roots rotation scalar Section seen Similarly solution set solve square statement subtraction summarised switch symbols theorem third order tion truth table vectors Venn diagram whilst write written x a y zero