ADVANCED ALGEBRA--------PHI

Description:

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, Cramer’s rule, Vandermonde determinants, vector spaces, inner product space, Jacobi’s 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.

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