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Lectures on Riemann Surfaces (Graduate Texts in Mathematics, Vol. 81) by Otto Forster is a nonfiction available to read on EtoBox.

What is Lectures on Riemann Surfaces (Graduate Texts in Mathematics, Vol. 81) about?

This book grew out of lectures on Riemann surfaces given by Otto Forster at the Universities of Munich, Regensburg and Munster. It provides an introduction to the subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. In the first chapter, the author considers Riemann surfaces as covering spaces, develops the pertinent basics of topology and focuses on algebraic functions. The next chapter is devoted to the theory of compact Riemann surfaces and cohomology groups, with the main classical results (including the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion problem). The final section covers the Riemann mapping theorem for simply connected Riemann surfaces, and the main theorems of Behnke-Stein for non-compact Riemann surfaces (the Runge approximation theorem and the theorems of Mittag-Leffler and Weierstrass).

Who reads Lectures on Riemann Surfaces (Graduate Texts in Mathematics, Vol. 81)?

Author

Otto Forster

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Published

1991

Language

EN

ISBN

9783540906179

Category

nonfiction

Subjects

Language Learning, Mathematics, Language