Naber Topology, Geometry and Gauge fields 9781441972538

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Автор: Naber
Название: Topology, Geometry and Gauge fields
Перевод названия: Набер: Топология, геометрия и калибровочные поля
ISBN: 9781441972538
Издательство: Springer
Классификация:

Геометрия

Топология

ISBN-10: 1441972536
Обложка/Формат: Hardback
Страницы: 460
Вес: 0.85 кг.
Дата издания: 22.09.2010
Серия: Texts in applied mathematics
Язык: English
Издание: 2nd edition.
Иллюстрации: Colour illustrations
Размер: 164 x 241 x 34
Читательская аудитория: Professional & vocational
Подзаголовок: Foundations
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)

Topology, Geometry and Gauge fields, Naber