Galois Groups and Fundamental Groups: 117 (Cambridge Studies in Advanced Mathematics) - Image 1

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Cambridge University Press Galois Groups and Fundamental Groups: 117 (Cambridge Studies in Advanced Mathematics)

Name: Galois Groups and Fundamental Groups: 117 (Cambridge Studies in Advanced Mathematics)
Brand: Cambridge University Press
Price: 53.16 GBP
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Higher Education

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Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory. Assuming as little technical background as possible, the book starts with basic algebraic and topological concepts, but already presented from the modern viewpoint advocated by Grothendieck. This enables a systematic yet accessible development of the theories of fundamental groups of algebraic curves, fundamental groups of schemes, and Tannakian fundamental groups. The connection between fundamental groups and linear differential equations is also developed at increasing levels of generality. Key applications and recent results, for example on the inverse Galois problem, are given throughout.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521888506
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Education > Higher Education
Domain: Amazon UK
Release Date: 16 July 2009
Listed Since: 31 October 2008

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Cambridge University Press Galois Groups and Fundamental Groups: 117 (Cambridge Studies in Advanced Mathematics)

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