I. Shafarevich, "Algebraic Geometry, Volumes 1-5 (Encyclopaedia of Mathematical Sciences)"



ISBN: N\A | edition 1995 | DJVU | 1383 pages | 15,4 mb

The name 'Riemann surface' is a rare case of a designation which is fully justified historically: all fundamental ideas connected with this notion belong to Riemann. Central among them is the idea that an analytic function of a complex variable defines some natural set on which it has to be studied. This need not coincide with the domain of the complex plane where the function was initially given.

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