Galois Theories (Cambridge Studies in Advanced Mathematics, Series Number 72) - Image 1

£60.99

Cambridge University Press Galois Theories (Cambridge Studies in Advanced Mathematics, Series Number 72)

Name: Galois Theories (Cambridge Studies in Advanced Mathematics, Series Number 72)
Brand: Cambridge University Press
Price: 60.99 GBP
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Description

Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience: the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. The first chapters are accessible to advanced undergraduates, with later ones at a graduate level. For all algebraists and category theorists this book will be a rewarding read.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521070414
Category: Books > Subjects > Health, Family & Lifestyle > Medical & Healthcare Practitioners > General Medical Issues
Domain: Amazon UK
Release Date: 21 August 2008
Listed Since: 28 March 2008

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Cambridge University Press Galois Theories (Cambridge Studies in Advanced Mathematics, Series Number 72)

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