TITLE: references for learning about branch cuts/ branch points in complex analysis
QUESTION [9 upvotes]: Are there any good books/online resources for learning about branch cuts at the level of  introductory undergraduate complex analysis. 
Thanks in advance.

REPLY [4 votes]: I recommend to go through chapter VI: Multifunctions and chapter VII: The Logarithmic Function of Visual Complex Analysis by T. Needham.
The sections

VI.1 Example: Fractional  powers, VI.2 Single-Valued Branches of a Multifunction, VI.3 Relevance to Power Series, VI.4 An Example with Two Branch Points
and

VII.1 Inverse of the Exponential Function, VII.2 The Logarithmic Power Series, VII.3 General Powers


provide a guided tour regarding branch cuts and related aspects with plenty of illuminating pictures.