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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, Cramers rule, Vandermonde determinants, vector spaces, inner product space, Jacobis 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 students skill.Table of Contents
Preface
1. Matrices (I)
2. Determinants
3. Matrices (II)
4. Vector Spaces
5. System of Linear Equations
6. Inner Product Space
7. Linear Transformation
8. Eigenvalues and Eigenvectors
9. Set, Relation and Mapping
10. Integers
11. Group Theory
12. Subgroups
13. Homomorphism of Groups and Coding Theory
14. Ring, Integral Domain and Field
15. Boolean Algebra
Bibliography
Index
ISBN - 9788120347373
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Pages : 636
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