Topics in Algebra by Dr. Kulbhushan Prakash, Om P. Chug, Parmanand Gupta

Contents:

SECTION I
1.    Mapping, Equivalence Relations and Partitions
2.    Congruence Modulo n
3.    Matrices
4.    Rank, Row Rank and Column Rank of a Matrix and Linear Equations
5.    Characteristic Roots and Characteristic Vectors

SECTION II
6.    Relations between the Roots and Co-efficients of an Equations
7.    Transformations of Equations
8.    Descarte's Rule of Signs
9.    Solutions of General Cubic and Bi-quadratic Equation

SECTION III
10.  Groups
11.  Subgroups
12.  Normal Subgroup
13.  Cyclic Groups
14.  Permutation Group
15.  Rings