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Discovering Group Theory
ISBN-13:
9781315405773
Veröffentl:
2016
Seiten:
231
Autor:
Tony Barnard
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
This book presents group theory to students taking a course to transition to advanced mathematics with the goal of preparing them for higher level mathematical study. The book covers the usual material which is found in a first course on groups with both preliminary chapters and examples of groups, results about integers, study cosets, and isomorphism theorem.
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; Answers; Index
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