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  3. An Introduction to Abstract Algebra
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    • Publisher:
      Cambridge University Press
      Publication date:
      12 October 2009
      01 October 1969
      ISBN:
      9780511565724
      9780521298629
      DOI:
      https://doi.org/10.1017/CBO9780511565724
      Dimensions:
      Weight & Pages:
      Dimensions:
      (216 x 138 mm)
      Weight & Pages:
      0.372kg, 404 Pages
      • Subjects:
      Mathematics, Algebra
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    • Selected: Digital
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    Subjects:
    Mathematics, Algebra
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    Book description

    The second volume continues the course of study started in Volume 1, but may be used independently by those already possessing an elementary knowledge of the subject. A summary of basic group theory is followed by accounts of group homomorphisms, rings, fields and integral domains. The related concepts of an invariant subgroup and an ideal in a ring are brought in and the reader introduced to vector spaces and Boolean algebra. The theorems behind the abstract work and the reasons for their importance are discussed in greater detail than is usual at this level. The book is intended both for those who, educated in traditional mathematics, wish to know something about modern algebra and also for those already familiar with the elements of the subject who wish to study further. Fresh ideas and structures are introduced gradually and in a simpler manner, with concrete examples and much more informal discussion. There are many graded exercises, including some worked examples. This book is thus suitable both for the student working by himself without the aid of the teacher and for those taking formal courses in universities or colleges of education.

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