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OverviewThis is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included. Full Product DetailsAuthor: A.R. WadsworthPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.340kg ISBN: 9781470435837ISBN 10: 1470435837 Pages: 277 Publication Date: 30 June 2017 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntegers and integers mod $n$ Groups Rings Linear algebra and canonical forms of linear transformations Fields and Galois theory Suggestions for further reading Bibliography Index of notation Subject and terminology indexReviewsI'll certainly be using some of the problems the next time I teach algebra. I'm even tempted to make it the only textbook for the course. Fernando Q. Gouvea, MAA Reviews A collection of very interesting problems covering almost all the topics of abstract algebra for advanced undergraduates or beginning graduate students is presented through five very main chapters of this book...It is surely a problem book that if it is correctly used can upgrade the level of the reader in abstract algebra. - Panayiotis Vlamos, Zentralblatt MATH It is well known that students learn best by doing, and, in that vein, Wadsworth's new text will help many algebra students. As the title alludes, this book is a collection of exercises about the first-year abstract algebra sequence, but it focuses more on exploratory topics than on the basics. Readers willing to work out each exercise will gain a deep understanding of algebra...The most appreciative audience will be graduate students preparing for algebra exams, for which this is a perfect study guide. - A. Misseldine, CHOICE I'll certainly be using some of the problems the next time I teach algebra. I'm even tempted to make it the only textbook for the course. - Fernando Q. Gouvea, MAA Reviews I'll certainly be using some of the problems the next time I teach algebra. I'm even tempted to make it the only textbook for the course. Fernando Q. Gouvea, MAA Reviews Author InformationA.R. Wadsworth, University of California, San Diego, CA. Tab Content 6Author Website:Countries AvailableAll regions |
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