Wednesday, February 15, 2012

Surfaces: Riemann surface

Riemann surface

A Riemann surface is a surface-like configuration that covers the complex plane with several, and in general infinitely many, 'sheets.' These sheets can have very complicated structures and interconnections (Knopp 1996, pp. 98-99). Riemann surfaces are one way of representing multiple-valued functions; another is branch cuts.

Get copyable formulas for Riemann surface from Differential Geometry Library (MathML, TeX, Mathematica input, Maple input)

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