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| COMPLEX
NUMBERS |
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Now it’s time to review
complex numbers. Because the square of a real number cannot
be negative, the equation x2 = -1 has no solutions in the real number
system. In the
eighteenth century mathematicians remedied this problem by
inventing a new number, which they denoted by:
which they defined to have the property i2 = -1. Thus complex
numbers,
which are numbers of the form a + bi, where a & b are real numbers,
were introduced. Every real number can be written as a + 0i, thus real
numbers are a subset of complex numbers. Those complex numbers that are
not real numbers are called imaginary numbers. |
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