Families of Meromorphic Functions on Compact Riemann Surfaces, M. Namba

Автор: Kichoon Yang
Название: Meromorphic Functions and Projective Curves
ISBN: 904815149X ISBN-13(EAN): 9789048151493
Издательство: Springer
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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.

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.

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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Автор: Aldo Andreotti; Wilhelm Stoll
Название: Analytic and Algebraic Dependence of Meromorphic Functions
ISBN: 354005670X ISBN-13(EAN): 9783540056706
Издательство: Springer
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Цена: 32560.00 T
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Автор: Pei-Chu Hu; Chung-Chun Yang
Название: Meromorphic Functions over Non-Archimedean Fields
ISBN: 0792365321 ISBN-13(EAN): 9780792365327
Издательство: Springer
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Цена: 102480.00 T
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Описание: Introduces value distribution theory over non-Archimedean fields, starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic functions and holomorphic curves. This book is useful to graduate students working in complex or diophantine approximation as well as to researchers involved in the fields of analysis.

Автор: Chung-Chun Yang; Hong-Xun Yi
Название: Uniqueness Theory of Meromorphic Functions
ISBN: 9048163544 ISBN-13(EAN): 9789048163540
Издательство: Springer
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Цена: 93160.00 T
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Автор: Pei-Chu Hu; Chung-Chun Yang
Название: Meromorphic Functions over Non-Archimedean Fields
ISBN: 9048155460 ISBN-13(EAN): 9789048155460
Издательство: Springer
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Цена: 93160.00 T
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Автор: Kichoon Yang
Название: Meromorphic Functions and Projective Curves
ISBN: 0792355059 ISBN-13(EAN): 9780792355052
Издательство: Springer
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Цена: 88500.00 T
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Описание: The main purpose of this volume is to give an exposition of various aspects of meromorphic functions and linear series on algebraic curves, with some emphasis on families of meromorphic functions. It is written in such a way as to facilitate their applications in other areas of mathematics.

Автор: Martin A. Guest; Claus Hertling
Название: Painlev? III: A Case Study in the Geometry of Meromorphic Connections
ISBN: 3319665251 ISBN-13(EAN): 9783319665252
Издательство: Springer
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Цена: 32600.00 T
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Описание:

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections. This equation is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears widely in geometry and physics. It is used here as a very concrete and classical illustration of the modern theory of vector bundles with meromorphic connections.

Complex multi-valued solutions on C* are the natural context for most of the monograph, but in the last four chapters real solutions on R>0 (with or without singularities) are addressed. These provide examples of variations of TERP structures, which are related to tt∗ geometry and harmonic bundles.

Автор: Wilhelm Stoll
Название: Value Distribution Theory for Meromorphic Maps
ISBN: 366305294X ISBN-13(EAN): 9783663052944
Издательство: Springer
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Описание: Here we investigate this situation: M is a parabolic manifold of dimension m and N = lP n is the n-dimensional projective space. The family of hyperplanes in lP n is the target family parameterized by the dual projective space lP* We obtain a Nevanlinna theory consisting of several n First Main Theorems.

Автор: Werner Balser
Название: Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
ISBN: 0387986901 ISBN-13(EAN): 9780387986906
Издательство: Springer
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Цена: 121110.00 T
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Описание: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. This book presents the classical theory of meromorphic systems of ODE, in the light of the achievements in the theory of summability of formal power series.