Unformatted text preview: al algebraic operations, and still others have no real zeros
at all, it was nice to discover that every polynomial of degree n ≥ 1 has n complex zeros. So like
we said, it gives us a sense of closure. But the observant reader will note that we did not give any
examples of applications which involve complex numbers. Students often wonder when complex
numbers will be used in ‘real-world’ applications. After all, didn’t we call i the imaginary unit?
How can imaginary things be used in reality? It turns out that complex numbers are very useful in
many applied ﬁelds such as ﬂuid dynamics, electromagnetism and quantum mechanics, but most
of the applications require Mathematics well beyond College Algebra to fully understand them.
That does not mean you’ll never be be able to understand them; in fact, it is the authors’ sincere
hope that all of you will reach a point in your studies when the glory, awe and splendor of complex
numbers are revealed to you. For now, however, the really good stuﬀ is beyond the scope of this...
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