Complex Numbers

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


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.


Real Number Complex Number Arithmetic Operation Number System Complex Exponential Function 
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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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