Analytic Functions, CR-equations (Cauchy Riemann Equations) in Cartesian and Polar Coordinates systems, Regular Function, Entire Function, Singular points, Derivative of a Complex Function using Partial Derivatives

 

Complex Variables, Complex Functions, Limit of Functions of a Complex Variable, Continuity of a Function of a Complex Variable, Differentiability of a Function of a Complex Variable, Theorem: (Existence of a Finite derivative)

 

Complex Functions, Single-Valued and Multi-valued Complex Functions, Types of Complex Functions (Circular Functions, Exponential Functions, Hyperbolic Functions, Logarithmic Functions, Inverse Trigonometric Functions, Inverse Hyperbolic Functions), Euler's Identities, Complex Powers

 

Polar Form of Complex Numbers, Argand's Diagram, Product and Quotient Rule For Polar Form of Complex Numbers, DE-MOIVRE'S THEOREM

 

Introduction To Complex Number, Properties of Complex Numbers, Algebra of Complex Numbers, Modulus of Complex Numbers

 

Great Mathematicians

How To Find The Values Of Trigonometric Functions Very quickly

For finding the value of sine and Cosine, see the number of fingures on right and left respectively of the selected angle and then put total number of fingures in under radical sign. After simplification we get required values of sine and cosines.

Solution of System of Equations by Using Cramer's Rule

 

Binomial Theorem

 

Concrete Numbers, Twin Prime Numbers, Perfect Numbers and Defective Numbers