Discovering Group Theory A Transition To Advanced Mathematics Tony Barnard Hugh Neill by Tony Barnard; Hugh Neill 9781138030169, 9781315405773, 1138030163, 1315405776 instant download after payment.

Discovering Group Theory: A Transition to Advanced Mathematicspresents 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.
Features
Full proofs with all details clearly laid out and explained
Reader-friendly conversational style
Complete solutions to all exercises
Focus on deduction, helping students learn how to construct proofs
''Asides'' to the reader, providing overviews and connections
''What you should know'' reviews at the end of each chapter ''