Complex Analysis: Learning Resources and Practice Problems

MelissaJL
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Hi there, I was just wondering if anyone knows of any good materials, books, websites, Youtube users etc for me to teach myself Complex Analysis for school. Some good practice problems with answers and explanations would be wicked too. Thanks :)
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
Visual Complex Analysis by Tristan Needham.
 
I recommend the Schaum's Outline of Complex Variables. If you are not familiar with the Schaum's Outline series, they are always full of worked examples and problems. Great for self-taught and drills.
 
I have all of the Schaum's Outline on my computer including the Complex Analysis version. It doesn't always have practice problems or examples that pertain to what I'm doing in class though. I'll check out Visual Complex Analysis. Is there any other recommendations?
 
MelissaJL said:
Schaum's Outline ... Complex Analysis version ... doesn't always have practice problems or examples that pertain to what I'm doing in class
I am very surprised at that. What subjects are in your class that are not in Schaums'?
 
A sphere as topological manifold can be defined by gluing together the boundary of two disk. Basically one starts assigning each disk the subspace topology from ##\mathbb R^2## and then taking the quotient topology obtained by gluing their boundaries. Starting from the above definition of 2-sphere as topological manifold, shows that it is homeomorphic to the "embedded" sphere understood as subset of ##\mathbb R^3## in the subspace topology.
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