Jordan's Lemma (Collorary) - Calculus III

[juan]

JORDAN's Lemma (Collorary) - Calculus III

Hello everyone, this is my first post in this forum. If it's not posted in the correct sub-forum, please move it. I hope you can help me.
I'm trying to solve some real improper integrals using the Theorem of Residues and I'm having some troubles when I have to prove the Collorary of Jordan's Lemma. This is what I have (I wrote it in LaTeX and post it like an image of a .pdf because I couldn't find how to write properly here)


Thanks!!

EDIT: if you have any book where this is explained in a detailed and correct way, please let me know!

 

[Ishuda]

...
EDIT: if you have any book where this is explained in a detailed and correct way, please let me know!

Maybe try "Equations of Mathematical Diffraction Theory" by Mezhlum A. Sumbatyan, and Antonio Scalia
https://books.google.com/books?id=IKP5ZebgcJEC&pg=PA3&lpg=PA3&dq=Corollary+of+Jordan%27s+Lemma&source=bl&ots=DLdryjSa9y&sig=oMaqPoUal1jW4zX1HRFwIxlhBeU&hl=en&sa=X&ei=eR7AVL-sGMLkgwSf-oH4BA&ved=0CCMQ6AEwAA#v=onepage&q=Corollary%20of%20Jordan%27s%20Lemma&f=false

BTW: LaTeX needs to be inclosed in a [ tex ] [ / tex ] pair(without the spaces), i.e.

[tex]\int_{C_1} f(z)\, dz[/tex]

produces
\(\displaystyle \int_{C_1} f(z)\, dz\)

 

[juan]

Thanks, I'm reading it!. If someone can help me with that particular problem it would be really helpful!!

 

[math_physics]

In the following link, you will find detailed proof of Jordan's Lemma

together with an example.

 

[topsquark]

You are going to necropost over here, too, eh? Some kind of a lifestyle choice?

I'm starting to get the impression you made these videos.

The top video didn't link right.

-Dan

 

[HallsofIvy]

And, by the way, the correct spelling is "corollary" not "collarary"!