Constant-Scale Natural Boundary Mapping to Reveal Global and Cosmic Processes, Pamela Elizabeth Clark; Chuck Clark

Автор: Rafael L?pez
Название: Constant Mean Curvature Surfaces with Boundary
ISBN: 3662512564 ISBN-13(EAN): 9783662512562
Издательство: Springer
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Цена: 11878.00 р.
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Описание:

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also of great interest for many other mathematical fields.

While minimal surfaces and CMC surfaces in general have already been treated in the literature, the present work is the first to present a comprehensive study of "compact surfaces with boundaries," narrowing its focus to a geometric view. Basic issues include the discussion whether the symmetries of the curve inherit to the surface; the possible values of the mean curvature, area and volume; stability; the circular boundary case and the existence of the Plateau problem in the non-parametric case. The exposition provides an outlook on recent research but also a set of techniques that allows the results to be expanded to other ambient spaces. Throughout the text, numerous illustrations clarify the results and their proofs.

The book is intended for graduate students and researchers in the field of differential geometry and especially theory of surfaces, including geometric analysis and geometric PDEs. It guides readers up to the state-of-the-art of the theory and introduces them to interesting open problems.

Автор: Theodore P. Williams
Название: The Effects of Constant Light on Visual Processes
ISBN: 1468472593 ISBN-13(EAN): 9781468472592
Издательство: Springer
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Цена: 6986.00 р.
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Описание: " ... the greater light to rule the day and the lesser light to rule the night ... Without a sun to reckon its length, a day could have been longer or shorter than 24 hours. Animals, says Genesis, appeared on the fifth day and by that time the sun and moon were illuminating the earth, presumably in cyclic fashion and with a period of 24 hours.

Автор: Rafael L?pez
Название: Constant Mean Curvature Surfaces with Boundary
ISBN: 3642396259 ISBN-13(EAN): 9783642396250
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also of great interest for many other mathematical fields.

While minimal surfaces and CMC surfaces in general have already been treated in the literature, the present work is the first to present a comprehensive study of "compact surfaces with boundaries," narrowing its focus to a geometric view. Basic issues include the discussion whether the symmetries of the curve inherit to the surface; the possible values of the mean curvature, area and volume; stability; the circular boundary case and the existence of the Plateau problem in the non-parametric case. The exposition provides an outlook on recent research but also a set of techniques that allows the results to be expanded to other ambient spaces. Throughout the text, numerous illustrations clarify the results and their proofs.

The book is intended for graduate students and researchers in the field of differential geometry and especially theory of surfaces, including geometric analysis and geometric PDEs. It guides readers up to the state-of-the-art of the theory and introduces them to interesting open problems.