Complex analysis

  • Thread starter Dathascome
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  • #1
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Hi there, I'm taking this math for physicists course and we're doing some stuff with functions of complex variables (laurent series residue etc), and I"m having a bit of trouble.

I'm not so happy with the book we use. It's a great reference book if you know what you're doing already but terrible to learn out of (in my opinion). Does anyone know the name of a good complex analysis book, that's not to heavy from someone trying to pick it up quick but has some problems in it too?

The problem that's been driving me crazy lately is to find the first 3 terms of the laurent series for f(z)= 1/(e^-z - 1) about 0. How do I do it using and not using residue?

I've tried a few things but to no avail. I tried expanding the exponential and using the fact that 1/2*pi*int(z^(m-n-1)dz= delta function of m,n
(sorry I don't know how to write that nicer)....but that didn't really get me any where...I tried using polar coordinates again to no avail....I'm not sure what else to do.
 

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  • #2
Integral
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A standard is Churchill Complex Variables and Applications
 
  • #3
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If you are looking for an easy to understand, free textbook on complex analysis try : http://www.its.caltech.edu/~sean/book.html [Broken]

It has great examples that are worked through.
 
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