Galois groups and fundamental groups

By:

Szamuely, Tamas

Series: Cambridge Studies in Advanced Mathematics ; 117Publication details: Cambridge University Press, 2009. Cambridge:Description: ix, 270 p. : hb, 24 cmISBN:

9780521888509

Subject(s):

DDC classification:

512.32 SZA

Summary: 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.

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.32 SZA (Browse shelf(Opens below))	1	Available		030193

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Previous	512.3 POS Foundations of Galois theory	512.32 BUT Algebra: polynomials, Galois theory, and applications	512.32 SCH Galois representations and (Phi, Gamma)-Modules	512.32 SZA Galois groups and fundamental groups	512.33 GRI Topics in transcendental algebraic geometry	512.4 AUS Representation theory of Artin algebras	512.4 BER Introduction to rings and modules: with K-theory in view	Next

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.

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