http://www.ck12.org Chapter 11. Complex Numbers
CHAPTER
11 Complex Numbers
Chapter Outline
11.1 Fundamental Theorem of Algebra
11.2 ARITHMETIC WITHCOMPLEXNUMBERS
11.3 TRIGONOMETRICPOLARFORM OFCOMPLEXNUMBERS
11.4 DEMOIVRE’STHEOREM AND NTHROOTS
11.5 REFERENCES
Complex numbers are based on the fact that√−1 is defined to be the imaginary numberi, and that normal algebraic
and graphical calculations are still valid even with imaginary numbers. In order to understand the reasoning behind
i, you will look at how the Fundamental Theorem of Algebra requires the number of roots of a polynomial to match
the degree of the polynomial. You will then discover how the complex number system interacts with the real number
system.