View/Download
This is a text for the basic graduate sequence in abstract algebra, offered by most universities. This text studies fundamental algebraic structures, namely groups, rings, fields and modules, and maps between these structures. The techniques are used in many areas of mathematics, and there are applications to physics, engineering and computer science as well. In addition, this text attempts to communicate the intrinsic beauty of the subject. Ideally, the reasoning underlying each step of a proof should be completely clear, but the overall argument should be as brief as possible, allowing a sharp overview of the result. These two requirements are in opposition, and it is the mission of this text to try to resolve the conflict.Added by mathwhiz on 2007-01-04 04:04:35
View/Download