## Fundamental concepts of mathematics |

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### Contents

CHAPTER | 1 |

Mathematical Induction Inequality Subtraction Multiplication | 14 |

Short cuts in multiplication The distributive property | 22 |

Copyright | |

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### Common terms and phrases

accc anchor ring axioms A1-4 beads binomial theorem Boolean arithmetic boundaries called coefficients colours suffice column common factor commutative complement consider convergent coset crossing define definition denote derivative difference digits divided divisible by 9 dots element equal equation Euler's formula example Farey series follows fractions Hence induction infer infinite decimal instance integer leaves the remainder metric space Mobius band modulo natural number neighbourhood notation observe obtain open set ordinals pairs polynomials positional notation positive integer prime number proof property of addition provable prove quotient rational numbers rectangle remainders on division result semigroup sentence letters sentence logic sequence Similarly simply square substitution subtraction takes the value tetration theorem topological topological space transfinite induction triangle truth functions truth table truth values variables vertex vertices wire word write zero