Introduction to Complex Numbers

The complex numbers Are the real numbers not sufficient? A complex number A representation of a complex number Equal complex numbers Sum of complex numbers Product of complex numbers A special product of complex numbers Notation, sum and product Opposite complex numbers Subtraction Conjugate complex numbers Modulus of a complex number The structure C, + , . Multiplication in practice Division in practice Square roots and complex numbers Square roots of a positive real number Square roots of strict negative real number Square roots of a complex number a + ib that is not real Polar representation of complex numbers modulus and argument of a complex number Polar form of complex numbers Equal numbers in polar representation Product in polar representation Conjugate numbers in polar representation The inverse of a complex number in polar representation Quotient two complex number in polar representation Natural power of a complex number Formula 'De Moivre' Negative power of a complex number Other properties of complex numbers n-th root of a complex number Polynomials and complex numbers Properties Theorem of d'Alembert Number of roots of a polynomial equation Roots of a polynomial equation with real coefficients. Factorization of a polynomial with real coefficients Sum and product of the roots of a polynomial equation