Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and M�nster. 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.From the reviews: 'This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces.'--MATHEMATICAL REVIEWS 268 pp. Englisch. N� de r�f. du vendeur 9781461259633

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Lectures on Riemann Surfaces

Bruce Gilligan

Edit� par Springer-Verlag New York Inc. (2011)

ISBN 10 : 1461259630 ISBN 13 : 9781461259633

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Description du livre Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. N� de r�f. du vendeur C9781461259633

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Lectures on Riemann Surfaces

Otto Forster

Edit� par Springer New York (2011)

ISBN 10 : 1461259630 ISBN 13 : 9781461259633

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Description du livre Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. Its aim is to give an introduction to this rich and beautiful subject, while presenting methods from the theory of complex manifolds which, in the special case of one complex variable, turn out to be particularly elementary and transparent. The book is divided into three chapters. In the first chapter we consider Riemann surfaces as covering spaces and develop a few basics from topology which are needed for this. Then we construct the Riemann surfaces which arise via analytic continuation of function germs. In particular this includes the Riemann surfaces of algebraic functions. As well we look more closely at analytic functions which display a special multi-valued behavior. Examples of this are the primitives of holomorphic i-forms and the solutions of linear differential equations. The second chapter is devoted to compact Riemann surfaces. The main classical results, like the Riemann-Roch Theorem, Abel's Theorem and the Jacobi inversion problem, are presented. Sheaf cohomology is an important technical tool. But only the first cohomology groups are used and these are comparatively easy to handle. The main theorems are all derived, following Serre, from the finite dimensionality of the first cohomology group with coefficients in the sheaf of holomorphic functions. And the proof of this is based on the fact that one can locally solve inhomogeneous Cauchy Riemann equations and on Schwarz' Lemma. N� de r�f. du vendeur 9781461259633

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Lectures on Reimann Surfaces

Otto Forster

Edit� par Springer New York (2011)

ISBN 10 : 1461259630 ISBN 13 : 9781461259633

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Description du livre Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Muenster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of compl. N� de r�f. du vendeur 4188960

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Lectures on Riemann Surfaces (Graduate Texts in Mathematics)

Forster, Otto

Edit� par Springer (2011)

ISBN 10 : 1461259630 ISBN 13 : 9781461259633

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(Hawthorne, CA, Etats-Unis)

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Description du livre Etat : New. Book is in NEW condition. N� de r�f. du vendeur 1461259630-2-1

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Lectures on Riemann Surfaces (Graduate Texts in Mathematics)

Forster, Otto

Edit� par Springer (2011)

ISBN 10 : 1461259630 ISBN 13 : 9781461259633

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Description du livre Etat : New. New! This book is in the same immaculate condition as when it was published. N� de r�f. du vendeur 353-1461259630-new

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