Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In complex analysis, a branch of mathematics, an isolated singularity is one that has no other singularities close to it. In other words, a complex number z is an isolated singularity of a function f if there exists an open disk D centered at z such that f is holomorphic on D {z}, that is, on the set obtained from D by taking z out. Formally, and within the general scope of functional analysis, an isolated singularity for a funcion f is any topologically isolated point within an open set where the function is not defined.

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