Classification Theory of Riemann Surfaces, Leo Sario; Mitsuru Nakai

Автор: Bobenko
Название: Computational Approach to Riemann Surfaces
ISBN: 3642174124 ISBN-13(EAN): 9783642174124
Издательство: Springer
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Описание: This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.

Автор: Robert D.M. Accola
Название: Topics in the Theory of Riemann Surfaces
ISBN: 3540587217 ISBN-13(EAN): 9783540587217
Издательство: Springer
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Цена: 3487.00 р.
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Описание: The book`s main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus.

Автор: Jones, Gareth A., Wolfart, J?rgen
Название: Dessins d`Enfants on Riemann Surfaces
ISBN: 3319247093 ISBN-13(EAN): 9783319247090
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This volume provides an introduction to dessins d`enfants and embeddings of bipartite graphs in compact Riemann surfaces.

Автор: Gunning Robert C.
Название: Lectures on Riemann Surfaces: Jacobi Varieties
ISBN: 0691619255 ISBN-13(EAN): 9780691619255
Издательство: Wiley
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Цена: 5544.00 р.
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Описание: A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis pres

Автор: Andrei Bogatyrev; Nikolai Kruzhilin
Название: Extremal Polynomials and Riemann Surfaces
ISBN: 364244332X ISBN-13(EAN): 9783642443329
Издательство: Springer
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Описание: This book develops the classical Chebyshev`s approach which gives analytical representation for the solution in terms of Riemann surfaces. It includes numerous problems, exercises, and illustrations.

Автор: Bruce Gilligan; Otto Forster
Название: Lectures on Riemann Surfaces
ISBN: 0387906177 ISBN-13(EAN): 9780387906171
Издательство: Springer
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Цена: 9357.00 р.
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Описание: Based on the lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster, this book provides a modern introduction to this subject, presenting methods used in the study of complex manifolds in the special case of complex dimension one.

Автор: Hershel M. Farkas; Irwin Kra
Название: Riemann Surfaces
ISBN: 0387977031 ISBN-13(EAN): 9780387977034
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Covers Riemann surface theory from elementary aspects to the frontiers of research. This book treats open and closed surfaces with emphasis on the compact case, and develops basic tools developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities.