## Mathematics For Bca |

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### Contents

Groups | 1 |

Rings | 33 |

Logics | 74 |

Vector Spaces | 105 |

Rolles Theorem Mean Value Theorems | 149 |

Theorem Rolles Theorem Taylors Theorem with | 164 |

Change of Independent Variables | 178 |

Change of Independent Variables | 197 |

Maxima and Minima Of Functions | 222 |

Envelopes and Evolutes | 249 |

Maxima and Minima Of Functions | 273 |

Picards Iteration Methods Uniqueness | 290 |

### Common terms and phrases

abelian group addition and multiplication additive inverse binary operation cancellation law closed with respect commutative ring complex numbers conditions of Rolle's denoted Differentiating dimensional vector space dx dx dx dy dx dz dy dy dz dx dz dz element of G Example F F F F T F family of straight Find the envelope finite dimensional vector function f(x given equation group with respect Hence identity element independent variables integral domain isomorphism left identity left inverse linear combination linearly independent mean value theorem modulo multiplicative inverse non-zero element open interval p v q parameter positive integer Proof prove rational numbers real numbers required envelope residue classes respect to addition respect to multiplication ring with unity Rolle's Theorem set G Solution statement straight lines subring subset subspace tautology truth table unit element vector space V(F zero divisors zero vector