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Lectures on Riemann Surfaces, Bruce Gilligan; Otto Forster


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Автор: Bruce Gilligan; Otto Forster
Название:  Lectures on Riemann Surfaces
ISBN: 9781461259633
Издательство: Springer
Классификация: ISBN-10: 1461259630
Обложка/Формат: Paperback
Страницы: 256
Вес: 0.38 кг.
Дата издания: 12.10.2011
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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, Abels 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.

Riemann, topology, and physics

Автор: Monastyrsky Michael I.
Название: Riemann, topology, and physics
ISBN: 0817647783 ISBN-13(EAN): 9780817647780
Издательство: Springer
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Цена: 55430.00 T
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Описание: The significantly expanded second edition of this book combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics.

Hardy Classes on Riemann Surfaces

Автор: Maurice Heins
Название: Hardy Classes on Riemann Surfaces
ISBN: 3540046178 ISBN-13(EAN): 9783540046172
Издательство: Springer
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Цена: 23250.00 T
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Riemann Surfaces and Generalized Theta Functions

Автор: Robert C. Gunning
Название: Riemann Surfaces and Generalized Theta Functions
ISBN: 3642663842 ISBN-13(EAN): 9783642663840
Издательство: Springer
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Цена: 83850.00 T
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Extremal Polynomials and Riemann Surfaces

Автор: Andrei Bogatyrev; Nikolai Kruzhilin
Название: Extremal Polynomials and Riemann Surfaces
ISBN: 364244332X ISBN-13(EAN): 9783642443329
Издательство: Springer
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Цена: 88500.00 T
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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.

Riemann Surfaces

Автор: Ahlfors Lars Valerian, Sario Leo
Название: Riemann Surfaces
ISBN: 069162612X ISBN-13(EAN): 9780691626123
Издательство: Wiley
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Цена: 68640.00 T
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Описание: The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special charac

Riemann Surfaces and Algebraic Curves

Автор: Cavalieri
Название: Riemann Surfaces and Algebraic Curves
ISBN: 110714924X ISBN-13(EAN): 9781107149243
Издательство: Cambridge Academ
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Цена: 116160.00 T
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Описание: Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field in algebraic geometry. Designed for undergraduate study, this classroom-tested text demonstrates the connections between diverse areas of mathematics and features short essays by guest writers as well as over 100 exercises for the reader.

The Riemann Boundary Problem on Riemann Surfaces

Автор: Y. Rodin
Название: The Riemann Boundary Problem on Riemann Surfaces
ISBN: 9027726531 ISBN-13(EAN): 9789027726537
Издательство: Springer
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Цена: 88500.00 T
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Riemann Surfaces

Автор: Hershel M. Farkas; Irwin Kra
Название: Riemann Surfaces
ISBN: 1461273919 ISBN-13(EAN): 9781461273912
Издательство: Springer
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Цена: 65210.00 T
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Описание: This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel`s theorem, the Jacobi inversion problem, Noether`s theorem, and the Riemann vanishing theorem.

The Riemann Boundary Problem on Riemann Surfaces

Автор: Y. Rodin
Название: The Riemann Boundary Problem on Riemann Surfaces
ISBN: 9401077991 ISBN-13(EAN): 9789401077996
Издательство: Springer
Рейтинг:
Цена: 88500.00 T
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Bernard Riemann`s gesammelte mathematische Werke und wissenschaftlicher Nachlass

Автор: Riemann
Название: Bernard Riemann`s gesammelte mathematische Werke und wissenschaftlicher Nachlass
ISBN: 110805935X ISBN-13(EAN): 9781108059350
Издательство: Cambridge Academ
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Цена: 48570.00 T
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Описание: The collected works, in German, of the groundbreaking mathematician Bernhard Riemann (1826-66) first appeared in 1876. Included here is his famous 1854 lecture `On the hypotheses which underlie geometry`, which set in motion studies which culminated in Einstein`s general theory of relativity.

Computational Approach to Riemann Surfaces

Автор: Bobenko
Название: Computational Approach to Riemann Surfaces
ISBN: 3642174124 ISBN-13(EAN): 9783642174124
Издательство: Springer
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Цена: 41880.00 T
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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.

Lectures on Riemann Surfaces

Автор: Bruce Gilligan; Otto Forster
Название: Lectures on Riemann Surfaces
ISBN: 0387906177 ISBN-13(EAN): 9780387906171
Издательство: Springer
Рейтинг:
Цена: 62380.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.


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