Intended for the undergraduate students of mathematics, this student-friendly text provides a complete coverage of all topics of Linear, Abstract and Boolean Algebra. The text discusses the matrix and determinants, Crameras rule, Vandermonde determinants, vector spaces, inner product space, Jacobias theorem, linear transformation, eigenvalues and eigenvectors. Besides, set theory, relations and functions, inclusion and exclusion principle, group, subgroup, semigroup, ring, integral domain, field theories, Boolean algebra and its applications have also been covered thoroughly. Each concept is supported by a large number of illustrations and 600 worked-out examples that help students understand the concepts in a clear way. Besides, MCQs and practice exercises are also provided at the end of each chapter with their answers to reinforce the studentsa skill.NOW, Pm+1 S P1102 - . mm + 1 alt; 221a#39;1222a#39;1H22ma#39;1 + 1 I 21+2+22+---+2m71 + 1 I 22a#39;a1 + 1 g 22a#39;a1 + 22aquot;a1 (since 1 g 22aquot;a1) I 2 - 22a1 I 22aquot;a#39;. Hence, by induction, pm 3 22na#39;1, for all integers n. 1 l 1 Example 10.16.13 If paquot; is the nth prime, thenanbsp;...

Title | : | ADVANCED ALGEBRA |

Author | : | MADHUMANGAL PAL |

Publisher | : | PHI Learning Pvt. Ltd. - 2013-04-02 |

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