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# complex number

A complex number is a number of the form $$a+bi$$, where $$a$$ and $$b$$ are both real numbers and $$i$$ is the so-called imaginary number, that is, $$i^2=-1$$.

The set of complex numbers is a field, and in particular is the algebraic closure of the real numbers.

Citation Info

• [MLA] “complex number.” Platonic Realms Interactive Mathematics Encyclopedia. Platonic Realms, 25 Mar 2013. Web. 25 Mar 2013. <http://platonicrealms.com/>
• [APA] complex number (25 Mar 2013). Retrieved 25 Mar 2013 from the Platonic Realms Interactive Mathematics Encyclopedia: http://platonicrealms.com/encyclopedia/complex-number/