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Unformatted text preview: i = -1. Complex numbers are added according to the rule ( a + bi ) + ( c + di ) = ( a + c ) + ( b + d ) i, and complex numbers are multiplied according to the rule ( a + bi ) ( c + di ) = ( a-d ) + ( b + c ) i. (Notice that the multiplication is just obtained by FOILing.) Dene an order on the complex numbers by declaring that a + bi c + di, if a c AND b d . Does this turn C into an ordered eld? Why or why not? Be sure to justify your answers! (You only need to check axioms O1-O4. Dont worry about showing that C is a eld.) 1...
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This note was uploaded on 03/18/2012 for the course MAT MAT 25 taught by Professor Stevenklee during the Fall '10 term at UC Davis.
- Fall '10