Problems in Abstract Algebra (Student Mathematical Library) by A. R. Wadsworth (PDF)

Description

This 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.

User’s Reviews

Editorial Reviews: Review 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, CHOICEI’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. Gouvêa, MAA ReviewsA 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 About the Author A.R. Wadsworth, University of California, San Diego, CA.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐It doesn’t include even the hints to the problems or the answers as you would expect from a problems book. How can the reader know if her/his answer is correct? It includes a small quantity of problems for being a problems book.

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