Transformation of Equations; Algebraic Solution of Cubic Equations; Solution of Biquadratic Equations; Rank of a Matrix; Linear Equations; Eigen-V alues and Eigen-Vectors; Quadratic Forms; Elements of Set Theory; Groups; Normal Sub-Groups; Rings; Complex Numbers; De-Moivers Theorem; Important çDeductions from De-Moiver's Theorem; Expansions of Cos èçand Sin èin Series of Cosines of Sines of Multiples of è; Exponential Values of the Sine and Cosine and Hyperbolic Function; Separation into Real and Imaginary Parts; Logarithms of Complex Quantities; Gregory's Series; Summation of series; Expansions; Inverse Circular Functions