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Branch point

 Home Mathematics Fields of mathematics Mathematical analysis Fields of mathematical analysis Complex analysis
 0 By others on same topic  0 Discussions  1970-01-01  See my version
A branch point is a concept primarily associated with complex analysis and algebraic geometry. Here are two contexts in which the term is commonly used: 1. **Complex Analysis**: In the context of complex functions, a branch point is a point where a multi-valued function (like the square root function or logarithm) is not single-valued. For example, consider the complex logarithm \( f(z) = \log(z) \).

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