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Item Details
Title: TOPOLOGY, GEOMETRY AND GAUGE FIELDS
FOUNDATIONS
By: Gregory L. Naber
Format: Hardback

List price: £72.50


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ISBN 10: 0387949461
ISBN 13: 9780387949468
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 24 April, 1997
Series: Texts in Applied Mathematics v.25
Pages: 438
Description: Through detailed calculations of a number of concrete examples, this book displays an introduction to topology and geometry that reflects the recent impact of gauge theory. This text should be accessible to first year graduate students of mathematics and physics.
Synopsis: 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 mathemtical 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.
Illustrations: 46 black & white illustrations
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Non-returnable
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