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Riemann Surface: Visualization of arg(z)

Riemann Surface: Visualization of arg(z)
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2020-04-16 07:15
FunctionSequenceComplex Number
This example visualizes the Riemann surface of arg(z). It involves the concept of the argument of a complex number. Using the Sequence command in GeoGebra, the Riemann surface can be dynamically constructed. Suitable for high school mathematics education, particularly in complex numbers and functions.

GeoGebra Commands & Parameters

  1. Sequence((n, n, a(n, n) + (((2 * k) * π) * t_1) + (0 * (1 - t_1))), k, (-s), s) → L2
  2. Sequence(Surface[(u * cos(v)), (u * sin(v)), a((u * cos(v)), (u * sin(v))) + (((2 * k) * π) * t_1) + (0 * (1 - t_1)), u, 0.01, r, v, (-π), π], k, (-s), s) → L1