Textbook (Hardcover - New Edition)
Textbook Information
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings.
* The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.
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December 01, 2005: This is simply the best book to learn abstract algebra from. It has really outstanding chapters on group, ring and field theory, but this is not all: linear algebra, commutative algebra and some graduate topics like representation theory, algebraic geometry and homological algebra are presented in a way that is very well suited for self study: lots of motivation, good examples and good exercises. This book is the unique reference for algebra in the qualifying exam syllabus of the math phd program at Harvard University: check their homepage. I think there is not much left to say!