Real and Imaginary Parts
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the real and imaginary parts of a complex number z are respectively the first and the second elements of the ordered pair of real numbers representing z. If z = x + iy (with i denoting the imaginary unit), then x and y are respectively the real part and the imaginary part of z. The real part of a complex number z is denoted by Re(z) or (z) and the imaginary part by Im(z) or (z), where and are black-letter capital R and I, respectively. The notations wi...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the real and imaginary parts of a complex number z are respectively the first and the second elements of the ordered pair of real numbers representing z. If z = x + iy (with i denoting the imaginary unit), then x and y are respectively the real part and the imaginary part of z. The real part of a complex number z is denoted by Re(z) or (z) and the imaginary part by Im(z) or (z), where and are black-letter capital R and I, respectively. The notations without parentheses are also used, Rez or z and Imz or z, whenever there is no danger of ambiguity. For a complex number in polar form, z = (r, ), the Cartesian (rectangular) coordinates are z = (rcos ,rsin ), or equivalently.
