When remarking on the results in this field of mathematics, mathematicians and engineers are inclined to use terms like magical or even miraculous; and in exploring the topic, both mathematicians and engineers continue to be amazed by the beauty and sweep of the conclusions. One of the algebraically closed number systems that include all real numbers is the complex number field. This article focuses on the geometric and algebraic structures of complex numbers, such as their definition and arithmetic operations and the field and polar form. In order to elaborate on connections between complex numbers and trigonometry, the de Moivre’s Formula, as one of important results in the world of complex numbers, is discussed. Topological properties of the complex plane are also discussed in this paper.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.