TY - GEN AU - Szamuely, Tamas TI - Galois groups and fundamental groups SN - 9780521888509 U1 - 512.32 PY - 2009/// CY - Cambridge PB - Cambridge University Press KW - Galois theory KW - Group Theory KW - Algebra N2 - 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 ER -