Galois groups and fundamental groups
Szamuely, Tamas
Galois groups and fundamental groups - Cambridge: Cambridge University Press, 2009. - ix, 270 p. : hb, 24 cm - Cambridge Studies in Advanced Mathematics ; 117 .
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.
9780521888509
Galois theory
Group Theory
Algebra
512.32 / SZA
Galois groups and fundamental groups - Cambridge: Cambridge University Press, 2009. - ix, 270 p. : hb, 24 cm - Cambridge Studies in Advanced Mathematics ; 117 .
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.
9780521888509
Galois theory
Group Theory
Algebra
512.32 / SZA
