Discovering Group Theory - A Transition to Advanced Mathematics

List of 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; Answers; Index

About the author

Tony Barnard has lectured at King's College London on abstract algebra for over 35 years. His research activity was initially in abstract algebra and more recently has been in the psychology of mathematics education. He has served on several consultative committees of the UK government and learned societies, advising on matters relating to the school mathematics curriculum and university mathematics teaching.?Hugh Neill started as a school teacher, moved into mathematics teaching at the University of Durham and then became the senior mathematics inspector in schools in Inner London until the Inner London Education Authority was abolished in 1990. During this time he was heavily involved in the design and assessment of mathematics courses for future mathematics teachers. Since 1990 he has been writing mathematics books.?

Summary

Previous edition: Mathematical groups / Tony Barnard and Hugh Neill (London: Teach Yourself Books, 1996).

Product details

• Authors: Tony Barnard, Tony Neill Barnard, Barnard Tony, Hugh Neill
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 31.12.2017
• EAN: 9781138430846
• ISBN: 978-1-138-43084-6
• No. of pages: 231
• Series: Textbooks in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Group Theory, MATHEMATICS / Algebra / General, Groups & group theory, Groups and group theory