Discovering Group Theory

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A01=Hugh Neill
A01=Tony Barnard
A2 Ba Ba2 Ba3
abelian
Abelian Groups
abstract algebra foundations
Anticlockwise
Author_Hugh Neill
Author_Tony Barnard
Ba Ba
ba2
Ba2 Ba Ba3
ba3
Binary Operation
Category=PBF
Category=PBG
coset
cyclic
Cyclic Group
Dihedral Group D3
E A Ba
eHf
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equivalence relations study
Finite Cyclic Group
Follow
Group
Group D3
group theory for advanced learners
Holds
homomorphism applications
Int X
integer
Integers
Isomophisms
Lagrange's Theorem
Lagrange’s Theorem
left
Left Coset
Logic
mathematical proof techniques
Nonzero Rational Numbers
normal
Normal Subgroup
permutation group theory
positive
Pr R
Quotient Group
Relation A2
Residue Classes
Set A
Sets
subgroup
undergraduate mathematics transition
Vice Versa

Product details

  • ISBN 9781138430846
  • Weight: 476g
  • Dimensions: 156 x 234mm
  • Publication Date: 27 Jul 2017
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more. The book is intended for students who find the kind of reasoning in abstract mathematics courses unfamiliar and need extra support in this transition to advanced mathematics.

The book gives a number of examples of groups and subgroups, including permutation groups, dihedral groups, and groups of integer residue classes. The book goes on to study cosets and finishes with the first isomorphism theorem.

Very little is assumed as background knowledge on the part of the reader. Some facility in algebraic manipulation is required, and a working knowledge of some of the properties of integers, such as knowing how to factorize integers into prime factors.

The book aims to help students with the transition from concrete to abstract mathematical thinking.

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.?

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