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Abstract algebra : structures and applications /

By: Publication details: Boca Raton : CRC Press, ©2016.Description: xii, 708 p. : illustrations ; 29 cmISBN:
  • 9781482248906
Subject(s): DDC classification:
  • 512.02 23 L911
Contents:
1. Set theory -- 2. Number theory -- 3. Groups -- 4. Quotient groups -- 5. Rings -- 6. Divisibility in commutative rings -- 7. Field extensions -- 8. Group actions -- 9. Classification of groups -- 10. Modules and algebras -- 11. Galois theory -- 12. Multivariable polynomial rings -- 13. Categories -- Appendices.
Summary: The books opens with some introductory set theory and number theory, and then dives into group, rings, and fields. When new concepts are introduced, Author generally gives some historical background and motivating examples that help make the topic more approachable. Lots of theorems and proofs are given in the book and are presented with great clarity.
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Includes bibliographical references and index.

1. Set theory --
2. Number theory --
3. Groups --
4. Quotient groups --
5. Rings --
6. Divisibility in commutative rings --
7. Field extensions --
8. Group actions --
9. Classification of groups --
10. Modules and algebras --
11. Galois theory --
12. Multivariable polynomial rings --
13. Categories --
Appendices.

The books opens with some introductory set theory and number theory, and then dives into group, rings, and fields. When new concepts are introduced, Author generally gives some historical background and motivating examples that help make the topic more approachable. Lots of theorems and proofs are given in the book and are presented with great clarity.

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