Abstract

In complex analysis courses, it is common to use physical interpretations as a didactic tool for teaching complex numbers. In the case of operations between complex numbers, the geometric interpretation of addition and subtraction is well known; however, many authors avoid the interpretation of the multiplication of complex numbers. In this paper, using the physical concepts of rotation and scaling, we will explain the multiplication of complex numbers through visualization in the Argand plane. In addition, we use visual representations in order to obtain proofs without words for some identities.

Details

Title
A geometric interpretation of the multiplication of complex numbers
Author
Ferro, L A 1 ; Triana, J G 1 ; Mendoza, S M 2 

 Universidad ECCI, Bogotá, Colombia 
 Universidad Francisco de Paula Santander, San José de Cúcuta, Colombia 
Publication year
2020
Publication date
Dec 2020
Publisher
IOP Publishing
ISSN
17426588
e-ISSN
17426596
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2624487295
Copyright
© 2020. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.