Graduate Studies in Mathematics
Volume: 165; 2015; 706 pp; Hardcover
MSC: Primary 12; 13; 14; 15; 16; 18; 20;

Print ISBN: 978-1-4704-1554-9
Product Code: GSM/165
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MAA Member Price: $85.50

Electronic ISBN: 978-1-4704-2731-3
Product Code: GSM/165.E
List Price: $89.00
AMS Member Price: $71.20
MAA Member Price: $80.10

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GSM/165/180

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Advanced Modern Algebra: Third Edition, Part 1

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Joseph J. Rotman

This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. Topics in the second course are Zorn's lemma, canonical forms, inner product spaces, categories and limits, tensor products, projective, injective, and flat modules, multilinear algebra, affine varieties, and Gröbner bases.

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Graduate students and researchers interested in learning and teaching algebra.

Reviews & Endorsements

The organization of the text is clear and the pace is leisurely...recently I taught the second part of a first-year graduate course in algebra, and in the process dipped into this book at various points. I enjoyed the presentation, and the commentary on constructions and results aimed to place them in context, and I found the numerous examples and exercises helpful. I will be using this book when teaching such courses again, if not always as the main text, certainly as a useful supplement.

-- Srikanth B. Iyengar, Mathematical Reviews

Rotman is a wonderful expositor, and the two courses in this book strike me as well thought out and well presented.

-- Fernando Q. Gouvêa, MAA

Advanced Modern Algebra: Third Edition, Part 1

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Title (HTML): Advanced Modern Algebra: Third Edition, Part 1

Author(s) (Product display): Joseph J. Rotman

Affiliation(s) (HTML): University of Illinois at Urbana-Champaign, Urbana, IL

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Book Series Name: Graduate Studies in Mathematics

Volume: 165

Publication Month and Year: 2015-11-30

Page Count: 706

Cover Type: Hardcover

Print ISBN-13: 978-1-4704-1554-9

Online ISBN 13: 978-1-4704-2731-3

Print ISSN: 1065-7339

Online ISSN: 1065-7339

Primary MSC: 12; 13; 14; 15; 16; 18; 20

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Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/gsm-165

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Online Price 1: 89.00

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This item is also available as part of a set:

GSM/165/180

Readership:

Graduate students and researchers interested in learning and teaching algebra.

Reviews:

-- Srikanth B. Iyengar, Mathematical Reviews

Rotman is a wonderful expositor, and the two courses in this book strike me as well thought out and well presented.

-- Fernando Q. Gouvêa, MAA

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Advanced Modern Algebra: Third Edition, Part 1

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Advanced Modern Algebra: Third Edition, Part 1

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