Ebook: Riemann Surfaces: (PMS-26)
Author: Lars Valerian Ahlfors, Leo Sario
- Series: Princeton Mathematical Series, 65
- Year: 2015
- Publisher: Princeton University Press
- Language: English
- pdf
The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions.
Originally published in 1960.
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