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Abstract: A new simple geometrical interpretation of complex numbers is presented. Itdiffers from their usual interpretation as points in the complex plane. Fromthe new point of view the complex numbers are rather operations on vectors thanpoints. Moreover, in this approach the real, imaginary and complex numbers havesimilar interpretation. They are simply some operations on vectors. Thepresented interpretation is simpler, more natural, and better adjusted topossible applications in geometry and physics than the usual one, especiallyfor describing rotations in a plane. The relation of the new approach to theusual interpretation and especially to the notion of complex plane is alsoclarified in the paper. The new interpretation of complex numbers gives newinsight into their applications in physics, which is demonstrated by someelementary examples in mechanics and optics

Author: Jaroslaw Zalesny



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