Lectures on Riemann Surfaces [Otto Forster] on *FREE* shipping on qualifying offers. Lectures on Riemann surfaces, by Otto Forster, Graduate Texts in Math., vol. 81, Springer-Verlag, New York, , viii + pp., $ ISBN What this course is about: Every serious study of analytic functions of one complex variable will need Riemann surfaces. For example, “multi-valued” functions.
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Home Contact Us Help Free delivery worldwide. Lectures on Riemann Surfaces. Description This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one.
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Forster: Riemann Surfaces
The Definition of Riemann Surfaces. Elementary Properties of Holomorphic Mappings.
Branched and Unbranched Coverings. The Reimann Covering and Covering Transformations. The Integration of Differential Forms. Riiemann Exact Cohomology Sequence.
The Serre Duality Theorem. The Jacobi Inversion Problem. The Dirichlet Boundary Value Problem. The Runge Approximation Theorem. The Theorems of Mittag-Leffler and Weierstrass. The Riemann Mapping Theorem. Functions with Prescribed Summands of Automorphy. Line and Vector Bundles. The Triviality of Vector Bundles. Gilligan Lectures on Riemann Surfaces “A very attractive addition to the list in the form of a well-conceived and handsomely produced textbook based on several years’ lecturing experience.
This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces.
Lectures on Riemann Surfaces : Otto Forster :
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