Topics in Mathematics Algebra and Trigonometry by Dr. Kulbhushan Prakash, Om P. Chug

Contents:

PART A : ALGEBRA
SECTION I
1*.    Mapping, Equivalence Relations and Partitions
2*.    Congruence Moduloer n
3 .    Matrices
4 .    Rank, Row Rank and Column Rank of a Matrix and Linear Equations
5 .    Characteristics Roots and Characteristic Vectors

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

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

PART B : TRIGONOMETRY
SECTION IV
16 .  DeMoivre's Theorem and its Applications
17 .  Expansion of Trigonometric Functions and Logarithms of a Complex Quantity
18 .  Direct Circular and Hyperbolic Functions
19 .  Inverse Circular and Inverse Hyperbolic Functions and Gragory Series
20 .  Summation of Series
         Examination Papers