So what exactly is a complex number?
Boris Borcic
bborcic at gmail.com
Wed Sep 5 08:17:08 EDT 2007
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Paul Rubin wrote: > Also, for > example, the derivative of a complex valued function means something > considerably stronger than the derivative of a real valued function. I vaguely remember (it has been decades) an amazingly beautiful russian doll system of four of five theorems, the first hypothesizing a function of a complex variable with a property that IIRC appeared somewhat weaker than differentiability, and the latter theorems not hypothesizing anything more, but pushing the consequence further to ever stronger properties.
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