Galois Groups and Fundamental Groups (repost)
Galois Groups and Fundamental Groups
Cambridge University Press | 2009 | ISBN: 0521888506 | 304 pages | PDF | 1,9 MB
Cambridge University Press | 2009 | ISBN: 0521888506 | 304 pages | PDF | 1,9 MB
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.