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Frames and Locales, Picado


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Автор: Picado
Название:  Frames and Locales   (Пикадо: Границы и локации)
Издательство: Springer
Классификация:
ISBN: 303480153X
ISBN-13(EAN): 9783034801539
Обложка/Формат: Paperback
Страницы: 417
Вес: 0.667 кг.
Дата издания: 01.10.2011
Серия: Frontiers in Mathematics
Язык: English
Издание: 2012
Иллюстрации: XIX, 398 p.
Размер: 231 x 155 x 25
Читательская аудитория: Professional & vocational
Рейтинг:
Поставляется из: Германии
Описание: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a realistic place (spot, grain) of non-trivial extent.Imitating the behaviour of open sets and their relations  led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory.No monograph of this nature has appeared since Johnstones celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present.  Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.
Дополнительное описание:


Harmonic Maps, Conservation Laws and Moving Frames

Автор: Fr?d?ric H?lein
Название: Harmonic Maps, Conservation Laws and Moving Frames
ISBN: 0521811600 ISBN-13(EAN): 9780521811606
Издательство: Cambridge Academ
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Цена: 136940 T
Наличие на складе: Поставка под заказ.
Описание: The author presents an accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. The reader is then presented with a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions.

A self-contained presentation of 'exotic' functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a 'Coulomb moving frame' is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces.


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