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Graduate Studies in Mathematics
1994; 516 pp; hardcover
List Price: US$83
Member Price: US$66.40
Order Code: GSM/100
Advanced Modern Algebra: Second Edition - Joseph J Rotman
This book, based on a first-year graduate course the author taught at the University of Wisconsin, contains more than enough material for a two-semester graduate-level abstract algebra course, including groups, rings and modules, fields and Galois theory, an introduction to algebraic number theory, and the rudiments of algebraic geometry. In addition, there are some more specialized topics not usually covered in such a course. These include transfer and character theory of finite groups, modules over artinian rings, modules over Dedekind domains, and transcendental field extensions.
This book could be used for self study as well as for a course text, and so full details of almost all proofs are included, with nothing being relegated to the chapter-end problems. There are, however, hundreds of problems, many being far from trivial. The book attempts to capture some of the informality of the classroom, as well as the excitement the author felt when taking the corresponding course as a student.
Originally published by Brooks Cole/Cengage Learning as ISBN: 978-0-534-19002-6
Graduate students and research mathematicians interested in algebra.
"Unlike similar textbooks, this volume steers away from chapter-end problems by including full details of all proofs as problems are presented."
-- SciTech Book News
"This is a book to be warmly welcomed. The presentation throughout is a model of clarity, and the proofs are precise and complete. The careful reader will learn (much) from it, not only mathematics, but also (and more importantly) how to think mathematically."
-- Mathematical Reviews
"Isaacs' Algebra, A Graduate Course is a pedagogically important book, to be highly recommended to fledgling algebraists--and every one else, for that matter."
-- MAA Reviews
"Most of these extra topics are not usually covered in first-year graduate algebra courses, or in introductory textbooks on modern algebra, but here they are woven into the main text in very natural, effective and instructive a manner, thereby offering a wider panorama of abstract algebra to the interested reader. This profound algebra text will prepare any zealous reader for further steps into one or more of the many branches of algebra, algebraic number theory, or algebraic geometry. Also, it will maintain its well-established role as one of the excellent standard texts on the subject, as a highly recommendable source for instructors, and as an utmost valuable companion to the various other great textbooks in the field."
-- Zentralblatt MATH
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