references for learning about branch cuts/ branch points in complex analysis

Question

Are there any good books/online resources for learning about branch cuts at the level of introductory undergraduate complex analysis.

Thanks in advance.

Answer 1

When I was an undergrad I really enjoyed Palka's treatment of this; it is definitely accessible and rigorous.

Answer 2

See http://www.cds.caltech.edu/~nair/abel.pdf It actually doesn't require any complex analysis really, but it explains branch cuts and points for Riemann surfaces of polynomials, so it's a great introduction. It also uses these to prove an important theorem.