Post by Admin on Jun 13, 2019 22:05:20 GMT
I was browsing the forum and noticed this post. I don't know why I claimed that the square root had an infinite number of branches. Surely you were right when you said it has two?
Vasco
Vasco,
Thank you. I don't know why I accepted the claim of infinite branches so easily except that I was feeling uncertain about my grasp of the idea of "branch". With the log, it's easy to see, as the imaginary part is an angle. But maybe you were right about the square root. This author seems to agree with you <http://mathfaculty.fullerton.edu/mathews/c2003/ComplexFunBranchMod.html>. Start with paragraph 2.20.
After thinking about Ch 12, Ex 12 some more, I realize my grasp of chapters 11 and 12 is in shambles. Another read is in order. But must go now, as the thermometer is headed for 85 F and I have to remove some brush (known around here as "fuels") from the lot.
Gary
Gary
I don't think your author is saying that there is an infinity of branches, but rather that we can express the two branches of the square root in an infinite number of ways but there are only two distinct values.
Vasco
