Ernst Equation and Riemann Surfaces, Christian Klein; Olaf Richter

Автор: Bobenko
Название: Computational Approach to Riemann Surfaces
ISBN: 3642174124 ISBN-13(EAN): 9783642174124
Издательство: Springer
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Цена: 6282.00 р.
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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: Martin Schlichenmaier
Название: An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
ISBN: 3642090273 ISBN-13(EAN): 9783642090271
Издательство: Springer
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Цена: 10447.00 р.
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Описание: This book gives an introduction to modern geometry. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.

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: Cavalieri
Название: Riemann Surfaces and Algebraic Curves
ISBN: 110714924X ISBN-13(EAN): 9781107149243
Издательство: Cambridge Academ
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Цена: 17424.00 р.
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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.

Автор: Andrei Bogatyrev; Nikolai Kruzhilin
Название: Extremal Polynomials and Riemann Surfaces
ISBN: 364244332X ISBN-13(EAN): 9783642443329
Издательство: Springer
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Цена: 13275.00 р.
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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: Hershel M. Farkas; Irwin Kra
Название: Riemann Surfaces
ISBN: 1461273919 ISBN-13(EAN): 9781461273912
Издательство: Springer
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Цена: 9781.00 р.
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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.

Автор: Khovanskii, Askold
Название: Galois theory, coverings, and riemann surfaces
ISBN: 364238840X ISBN-13(EAN): 9783642388408
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Galois Theory, Coverings, and Riemann Surfaces

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.