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Computational Approach to Riemann Surfaces, Bobenko


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Цена: 6282.00р.
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Автор: Bobenko
Название:  Computational Approach to Riemann Surfaces
Перевод названия: Бобенко: Компьютерные рассчеты римановых поверхностей
ISBN: 9783642174124
Издательство: Springer
Классификация:


ISBN-10: 3642174124
Обложка/Формат: Paperback
Страницы: 278
Вес: 0.87 кг.
Дата издания: 2011
Серия: Lecture Notes in Mathematics/2013
Язык: English
Иллюстрации: Black & white illustrations
Размер: 234 x 156 x 15
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Geometry of Cauchy-Riemann Submanifolds

Автор: Dragomir
Название: Geometry of Cauchy-Riemann Submanifolds
ISBN: 9811009155 ISBN-13(EAN): 9789811009150
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds.Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.


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