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Lectures on Riemann Surfaces
Lectures on Riemann Surfaces
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Lectures on Riemann Surfaces

Author: 


ISBN-13: 

9780387906171


ISBN: 

0387906177


Pub Date: 
Publisher:  Springer
Summary: This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and M√ľnster. 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. The material corresponds roughly to three semesters of lectures, arranged in a flexible sequence involving ...a minimum of prerequisites. 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). The value of this translation is enhanced by newly prepared exercises.

Forster, Otto is the author of Lectures on Riemann Surfaces, published 1982 under ISBN 9780387906171 and 0387906177. Five hundred forty four Lectures on Riemann Surfaces textbooks are available for sale on ValoreBooks.com, fifty seven used from the cheapest price of $95.95, or buy new starting at $84.64.
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Lectures on Riemann Surfaces

ISBN-13: 9780387906171


ISBN: 0387906177


Pub Date:
Publisher: Springer
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