Discovering Group Theory: A Transition to Advanced Mathematics (Textbooks in Mathematics) 1st Edition by Tony Barnard (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a rebranded “Teach Yourself” book and is not worth more than about 10 pounds. Even as a teach yourself style book for cheap it would only rate 3 stars, at best.There is absolutely nothing “transition” about this book, the organisation is confusing and the the typsetting is rubbish.If you are looking for a group theory text or reference, this book is useless to you. If you are looking for a transition to higher math text, this book is useless to you. If you want to get ripped off and be highly disappointed and bewildered, you came to the right place.

⭐Very well written introduction. I would say a must for any first year maths undergraduate.,

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