Algebra, 3rd Edition

Author: SERGELANG
Publisher:
Publish Date: 2004-11-01
Features: As I see it, the graduate course in algebra must primarily prepare students to handle the algebra they will meet in all mathematics: topology, partial differential equations, differential geometry, algebraic geometry, analysis, and representation theory, not to mention algebra itself and algebraic number theory with all its ramifications. Hence I have inserted throughout references to papers and books that have appeared during the last decades, to indicate some of the directions in which the algebraic foundations provided by this book are used; I have accompanied these references with some motivating comments, to explain how the topics of the present book fit into the mathematics that is to be subsequently encountered in various fields; and I have also mentioned some unsolved problems of mathematics in algebra and number theory. The abc conjecture is perhaps the most spectacular of these. This book introduces an algebra textbook in the form of a photocopied edition. This book introduces an algebra textbook in the form of a photocopied edition.