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Complex Numbers

  • Timothy G. Feeman
Chapter
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

Abstract

There is no real number a for which a 2+1=0. In order to develop an expanded number system that includes solutions to this simple quadratic equation, we define the “imaginary number” \(i = \sqrt { - 1}\) . That is, this new number i is defined by the condition that i 2+1 = 0.

Keywords

Real Number Complex Number Arithmetic Operation Number System Complex Exponential Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York 2010

Authors and Affiliations

  1. 1.Department of Mathematical SciencesVillanova UniversityVillanovaUSA

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