Complex numbers
Complex numbers
Modulus
Argument
- Any complex number has infinite number of arguments.
- Any two arguments of a complex number have difference of a multiple of 2$\pi$.
- At least one argument of the infinite arguments of a complex number always lies in the interval −π<θ≤π or 0≤θ<2π & it is called the principal value of argument.
- Any complex number has only one modulus & infinite number of arguments.
- If $\theta$ is the argument of a complex number $z$ then -${\theta}$ is the argument of $\bar{z}$.
Logarithm
Square root
Set of complex numbers
Functions of complex variables
Limit
Continuity
Differentiation
Maxima & minima
Analytic functions
Singularities
Residues
Complex Integration
Conformal Mapping
Bilinear Transformation
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