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Discovering group theory : a transition to advanced mathematics / Tony Barnard, Hugh Neill.

By: Barnard, Tony (Mathematics professor) [author.].
Contributor(s): Barnard, Tony (Mathematics professor). Mathematical groups | Neill, Hugh [author.].
Material type: materialTypeLabelBookSeries: Textbooks in mathematics (Boca Raton, Fla.): Publisher: Boca Raton : CRC Press, [2017]Copyright date: ©2017Description: 1 online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781315405780; 9781315405759.Uniform titles: Mathematical groups Subject(s): Group theory -- Textbooks | Algebra -- Textbooks | Mathematics -- Study and teachingAdditional physical formats: Print version: : No titleDDC classification: 512.2 Online resources: Click here to view.
Contents:
1. Proof -- 2. Sets -- 3. Binary operations -- 4. Integers -- 5. Groups -- 6. Subgroups -- 7. Cyclic groups -- 8. Products of groups -- 9. Functions -- 10. Composition of functions -- 11. Isomorphisms -- 12. Permutations -- 13. Dihedral groups -- 14. Cosets -- 15. Groups of orders up to 8 -- 16. Equivalence relations -- 17. Quotient groups -- 18. Homomorphisms -- 19. The first isomorphism theorem.
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Previous edition: Mathematical groups / Tony Barnard and Hugh Neill (London : Teach Yourself Books, 1996).

1. Proof -- 2. Sets -- 3. Binary operations -- 4. Integers -- 5. Groups -- 6. Subgroups -- 7. Cyclic groups -- 8. Products of groups -- 9. Functions -- 10. Composition of functions -- 11. Isomorphisms -- 12. Permutations -- 13. Dihedral groups -- 14. Cosets -- 15. Groups of orders up to 8 -- 16. Equivalence relations -- 17. Quotient groups -- 18. Homomorphisms -- 19. The first isomorphism theorem.

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