Computing improper integrals, are we?

Why yes, in my free time today!

Just add a dash of Residue Theory,

Be sure to find all the singularities,

Don't let them run away!

Form a semi-circle surrounding those points

That live above the x-axis

Then let the radius go to infinity
Show that the integral of the top half goes to zero, what a trip!

Complex Analysis is so nice to me!The remaining value is the answer, you know

As I'm working it for students to see

But, the book says the answer is pi/6

And I keep getting pi/3! *cries*

Awesome. Just awesome.

ReplyDeletesharing your distress

ReplyDeleteerrata are worth reading

it might not be you

The advantage of working in a field where there are no solid answers.

ReplyDeleteGreat poem, though!

I'm very glad the mathematicians are around to answer the other mathematicians, as I was completely lost.

ReplyDeleteI wonder whether Greta's metaphors seem equally impenetrable to some readers?

No need to cry, pi/6=pi/3!

ReplyDeleteSorry about the missing punctuation mark at the end.

DeleteAll of the good integrals in complex analysis are zero, if you write them correctly.

ReplyDeleteMmmmmmmm . . . pi.

ReplyDeleteWhy is the contour integral of western europe zero? All the poles are in eastern europe.

ReplyDeleteWe used to keep a jar around the office. Kick in a buck to the coffee fund, get a free minus sign or factor of two.

ReplyDelete