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Publication list for Wadsworth, A.

  • Problems in Abstract Algebra
    Base Product Code Keyword List: stml; STML; stml/82; STML/82; stml-82; STML-82
    Print Product Code: STML/82
    Online Product Code: STML/82.E
    Title (HTML): Problems in Abstract Algebra
    Author(s) (Product display): A. R. Wadsworth
    Affiliation(s) (HTML): University of California, San Diego, CA

    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.

    Book Series Name: Student Mathematical Library
    Volume: 82
    Publication Month and Year: 2017-05-10
    Copyright Year: 2017
    Page Count: 277
    Cover Type: Softcover
    Print ISBN-13: 978-1-4704-3583-7
    Online ISBN 13: 978-1-4704-4044-2
    Print ISSN: 1520-9121
    Online ISSN: 1520-9121
    Primary MSC: 00; 12; 13; 15; 20
    Textbook?: false
    Applied Math?: false
    MAA Book?: false
    Home Page?: false
    Sample?: false
    Reference?: false
    Electronic Media?: false
    Apparel or Gift: false
    SXG Subject: AA
    Supplemental Materials (URL at AMS): http://www.ams.org/bookpages/stml-82
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    Print Add to Cart URL: /some/url/at/AMS/STML-82
    Electronic Add to Cart URL: /some/url/at/AMS/STML-82.E
    Review Copy: http://www.ams.org/exam-desk-review-request?&eisbn=978-1-4704-4044-2&pisbn=978-1-4704-3583-7&epc=STML/82.E&ppc=STML/82&title=Problems%20in%20Abstract%20Algebra&author=A.%20R.%20Wadsworth&type=R

    Undergraduate and graduate students interested in teaching and learning undergraduate algebra.


    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. Gouvêa, MAA Reviews

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