Abstract Algebra
Abstract Algebra by Pierre Antoine Grillet is a comprehensive textbook published by Springer on July 24, 2007. This second edition spans 669 pages and is presented in English, making it a valuable resource for graduate students studying mathematics. The book addresses major branches of algebra, including groups, rings, fields, and modules, while emphasizing the importance of proofs and conceptual understanding.
Readers will find that this edition offers an inclusive approach to abstract algebra, exploring essential areas with a level of detail suitable for its audience. The text is designed to enhance comprehension of algebraic concepts, featuring a careful selection of important examples alongside a thorough discussion of more advanced theories. This makes it a significant contribution to the field of mathematics, particularly in the study of abstract algebra and group theory.
Official synopsis Publisher
A completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.
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